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August 2022
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Intro Stats / AP Statistics Q&A Archive of August 10, 2022

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August 10 of 2022

How many ways can a 10-question true-and-false exam be answered if no questions are left blank? (A) 512 (B) 100 (C) 1,024 (D) 10 (E) 3,628,800

A list consists of all possible three-letter arrangements formed by using the letters above such that the first letter is D and one of the remaining letters is A. If no letter is used more than once in an arrangement in the list and one three-letter arrangement is randomly selected from the…

Seven students with unequal heights are arranged in a line. In how many ways can the students be arranged in a line so that the shortest student is first and the tallest student is last?

Find the indicated terms in the given binomial expansion. Find the 20th term in the expansion of (a+b)^22.

Find the term that contains x^5 in the expansion of (2x+y)^20.

Find the indicated terms in the expansion of the given binomial. The middle term in the expansion of (x^2+1)^18

A team of 6 players is to be chosen from 8 men and 4 women. Find the number of different ways this can be done if there is at least one woman in the team.

Use the binomial expansion to find the first four terms of this series: (1 - x^4)^6.

Using the binomial theorem, or otherwise, find the first four terms of these expressions. (3x+1)^4

Find the value of k such that the coefficient of the x^-1 term in the expansion of (kx+2x)^5 is 720.

Here is a different type of dartboard. A player throws 2 darts at the board. His score is the sum of the integers in the areas his darts land. Assume both darts hit the board. How many different scores are possible?

An unusual die has its six faces labeled 1, 2, 3, 5, 7, 9. If two such dice are rolled, and the numbers showing on the upper faces are added, then the number of possible different sums is ( ) A. 36 B. 16 C. 15 D. 14 E. 13

Use Pascal's triangles to answer the questions below about by binomial expansion and nCr.How many terms are in the expansion of (a+b)^15? （）A. 11B. 13C. 14D. 15E. 16

Find the term or the expansion in each. What is the value of the following? [30; 5]

How many outfits can be made if you chose from 5 pairs of jeans, 6 shirts, 4 sweaters, and 7 pairs of shoes?

State if each scenario involves a permutation or combination (1 point each). Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

State if each scenario involves a permutation or a combination. Mike has homework in five subjects. He is deciding what order to complete them in.

Write down the first three terms in the binomial expansion of (1+x)^-(1)/(2), in ascending powers of x

Use the Binomial Theorem to expand the expression. In the study of probability, it is sometimes necessary to use the expansion (p+q)^n, where p+q=1. (23+13)^4

Find the binomial expansion of (1-3x)Â³/2 in ascending powers of x up to and including the xÂ³ term, simplifying each term.

For each of the following: find the binomial expansion up to and including the x^3 term (1+x)^-(1)/(4)

The first three terms in the binomial expansion of âˆš(a+bx) are 13-2x^2+27+2x^2+81. Find the coefficient of the term in x^3 in its simplest form.

Use the binomial theorem to find the first four terms, in ascending powers of x, in the expansion of: (1 + x)^15.

Find the number of ways in which the letters of the word ELEVATED can be arranged if between any two Es there must be at least 2 other letters.

Use the Binomial Theorem to write the first three terms in the expansion and simplify: (x+y^2)^8.

Use the formula for _n C_r to solve Exercise. To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?

a. Write down the first three terms in the binomial expansion of (1-2x)^(1/2) in ascending powers of x. b. Write down the first three terms in the binomial expansion of (1+x)^(-1/2) in ascending powers of x. c. Use your answers to a and b to prove that âˆš(1-2x)(1+x)=1-3/2x+3/8x^2+.....

Find the first three terms of these binomial expansions in descending powers of x.(x+4)^7

Find, in the expansion of (1 + t^2 + t^3)^10, the coefficient of t^10.

Use the binomial expansion to fully simplify each of these expressions. Give your final answers in surd form. [1 - âˆš(5)]^6

The 14th row of Pascal's triangle is shown below.1 13 78 … …Find the next two values in the row.

Write down the term indicated in the binomial expansion of the following function: (2a - 3b)^10, term containing b^8.

Write down the first four terms in the binomial expansion of: (2+x)^10

Three boxes each contain three identical balls. The first box has red balls in it, the second has blue balls, and the third has green balls. In how many ways can three balls be arranged in a row if all three balls are of the same color?

In how many ways can ten different books be divided into two groups of six books and four books?

Find the indicated term in each expansion if the terms of the expansion are arranged in decreasing powers of the first term in the binomial. (a+b)^12; fifth term.

In a horse race, how many different finishes among the first three places are possible for a 10-horse race? Exclude ties.

Adam is measuring the heights in cm of his tomato plants. [Height (cm) Frequency: 140 < h â‰¤ 150 7; 150 < h â‰¤ 160 10; 160 < h â‰¤ 170 15; 170 < h â‰¤ 180 19; 180 < h â‰¤ 200 9;] Estimate the standard deviation.

Find the first four terms, in ascending powers of x, of the binomial expansion (2 + kx)^6. Given that the coefficient of the x^3 term in the expansion is -20.

The Little Twelve Football Conference has two divisions, with eleven teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?

Many newspapers contain Jumble puzzles, where the letters of a word are given out of order. In Exercise, read the Recreational Math box on page 741 and determine: (1) the number of possible arrangements of the letters given. (2) the word.

Given points F, G, H, and I with no three of the points collinear, what is the maximum number of distinct lines that can be defined using points F, G, H, and I? ( ) A. 4 B. 5 C. 6 D. 8

The U.S. Postal Service uses five-digit ZIP codes to route letters and packages to their destinations. In 1983, the U.S. Postal Service introduced the ZIP+4, which added four more digits to the existing five-digit ZIP codes. Using the numbers 0 through 9, how many additional ZIP codes were…

How many different 4 letter words (arrangements where order matters) can be made from the letters A, E, I, O, U, Y?

The Beau Chene Garden Club has 12 members. They plan to elect a president, a vice-president, and a treasurer. How many different outcomes are possible for the election if each member is eligible for each office and no one can hold two offices?

Solve each problem. Poker Hands: How many five-card poker hands are there if you draw five cards from a deck of 52?

What is the coefficient of aÂ³bÂ²c in the expansion of (a + b + c)â¶?

A rough estimate at a 95% confidence level of the relationship between sample size (n) and margin of error can be determined using the formula: Margin of Error (decimal) = 1/sqrt(n). In a research survey with 19,702 people, only about 7% said that they enjoyed taking math in school. What is the…

What is the mode of the data in the stem plot?

A normal distribution has mean xÌ„ and standard deviation s. Find P(xÌ„ â€“ 2s â‰¤ x â‰¤ xÌ„ + 2s). Express your answer as a decimal rounded to the nearest hundredth. P = ___

First, state whether the problem is a permutation or combination problem. Then, solve.For the special at a restaurant you can choose 3 different items from the 10 item menu. How many different combinations of meals could you get? If the waiter chooses your 3 items at random, what's the…

Your school wants to determine how students feel about the course load they have each day by letting students volunteer to take the survey. Classify the sampling method.

Your school wants to determine how happy students are with the selection of foods available for lunch. In order to conduct this survey, they decide to randomly select students to survey. Classify this sampling method.

Simplify the following expression so that they do not have a factorial symbol. (7!)/(3!)

At a swimming competition, nine swimmers compete in a race. How many ways can all nine swimmers line up for a photo?

For the following exercises, find the indicated term of each binomial without fully expanding the binomial. The eighth term of (7+5y)^14.

For the following exercise, use the Binomial Theorem to write the first three terms of each binomial. (a - 2b)^15

In Exercise, find the number of distinguishable permutations of the group of letters A, N, T, A, R, C, T, I, C, A.

In this exercise, determine the number of ways a computer can randomly generate one or more distinct integers from 1 through 12, such that the sum of the two integers is 9.

State the number of terms in each expansion and give the first two terms. (x - 3y)^6

An anagram is a word or phrase that is made by rearranging the letters of another word or phrase. Consider the word "SILENT." How many different arrangements of the letters in this word are possible? Write this number as a factorial. (Hint: First solve a simpler problem to see a pattern, such…

How many three-digit numbers can be formed under each condition? The leading digit cannot be 0.

In a plane, lines are drawn through a given point O so that the measure of each non-overlapping angle formed about point O is 60Â°. How many different lines are there? ( ) A. Two B. Three C. Four D. Five E. Six

Tyler must choose a 4-digit password for his bank account. Find the number of possible 4-digit passwords using four different digits.

Find the coefficient of the term a^3b^5 in the expansion of (2a - 3b)^8.

Write down the first three and last two terms of the binomial expansion of: (2x - 3x)^20

Companies whose stocks are listed on the New York Stock Exchange (NYSE) have their company name represented by 1, 2 or 3 letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NYSE?

A word processing program requires a user to enter a 7-digit registration code made up of the digits 1, 2, 4, 5, 6, 7, and 9. Each number has to be used, and no number can be used more than once. How many different registration codes are possible?

A swimming coach plans to pick four swimmers out of a group of 6 to form the 400-meter freestyle relay team. The swimmers have been chosen for the relay team. The coach must now decide in which order the four swimmers should swim. He timed the swimmers in each possible order and chose the best…

An envelope contains eight bills: 2 ones, 2 fives, 2 tens, and 2 twenties. Two bills are drawn without replacement. How many ways are there such that their sum is 20 or more? ( ) A. 10 B. 12 C. 13 D. 14 E. 20

Find the sum of the mean, median, and mode for this set of numbers: 15, 7, 11, 7, 5, 13, 9.

On a certain test, a class of 12 students has an average (arithmetic mean) score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes? ( ) A. 82 B. 82.5 C. 83 D. 84 E. 84.5

How many different ways can five different books be arranged on a bookshelf? ( ) A. 5 B. 15 C. 24 D. 120

Find how many 5-digit even numbers can be made using each of the digits 1, 2, 3, 4, 5 once only.

Add each of the first five rows of Pascal's triangle, as indicated. Do you see a pattern? 1+1=2, 1+2+1=4, 1+3+3+1=8, 1+4+6+4+1=16, 1+5+10+10+5+1=32. On the basis of the pattern you have found, find the sum of the nth row: [n; 0] + [n; 1] + [n; 2] + â€¦ + [n; n]. Prove your result by expanding…

Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if a chemistry book is at each end of the shelf,

You have five black discs and five white discs which are arranged in a line as shown. We want to get all the black discs to the right-hand end and all the white discs to the left-hand end. The only move allowed is to interchange two neighboring discs. How many moves does it take? How many moves…

Five different books are on a shelf. In how many different ways could you arrange them?

Sean is choosing new uniforms for the baseball team. Pants come in 3 styles, shirts come in 5 styles, and caps in 4 styles. How many different ways can a 3 piece uniform be chosen?

State if each scenario involves a permutation or a combination. Then find the number of possibilities. Selecting which nine players will be in the batting order on a 10 person team.

Find the number of possibilities in each scenario (2 points each). A group of 50 people is going to run a race. The top three runners earn gold, silver, and bronze medals.

Evaluate the range of values of x for which the binomial expansion of this expression is valid. (12 + 13x)^(1/4)

Select the values of x for which the binomial expansion of (5+3x)^-2 is valid. ( ) A. |x|<1 B. |x|<3 C. |x|<5 D. |x|<35

Find the binomial expansion of (1+4x)^2 up to and including the term in x^3. State the range of values of x for which the expansion is valid.

Given that [ 25; 11 ] = 25! / (11! * p!), write down the value of p.

Use the formula for _nC_r to solve Exercises. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?

Work out the binomial expansions of these expressions, up to and including the term in x^2. Simplify coefficients in terms of the positive constant k. (âˆšk + x)^-2

Use the binomial theorem to find the first four terms in the expansion of: (1 - 2x)^5

Using the 26-letter alphabet, how many 3-letter words can we form that have no repeated letters?

You have learned that the coefficients in the expansion of (x+y)^n yield a number pyramid called Pascal's triangle. This activity explores some of the interesting properties of this famous number pyramid. Pick any row of Pascal's triangle that comes after the first. Starting at the left end of…

Determine whether the situations represent permutations or combinations. Then solve. How many ways are there to elect a President, Vice President, Secretary, and Treasurer from a club with 32 members?

How many seating arrangements are possible with six people and six chairs in a row? Solve by using the multiplication principle.

Work out the first three terms in the binomial expansion of (2+3x)^2

There are 8 girls and 6 boys on the student council. How many committees of 3 girls and 2 boys can be formed? Show your work.

Calculate _10C_6 and _10C_4. Use your observations to help you state a generalization about combinations.

Work with a small group to solve the following cases. Show your work on a separate piece of paper. In bowling, you get a spare when you knock down the ten pins in two throws. How many possible ways are there to get a spare?

Emma, Olivia, Ava, and Isabella are going to drive together to a nearby theme park. The car they are using has 4 seats: 1 Driver seat, 1 front passenger seat, and 2 back passenger seat. Emma and Olivia are the only ones who know how to drive the car. How many possible seating arrangements are…

Amy, Ben, Canny, Debby, Emily, Vicky six people stand side by side in a row. If Ben and Debby must be adjacent, how many different arrangements are there?

The 54 members of a club include both the club president and the club treasurer. All 54 members want to go on a coach tour, but the coach only has room for 48 people. In how many ways can 48 members be chosen if both the club president and the club treasurer must be included?

When making a fruit salad, a chef chooses 4 fruits from 8 that are in season. How many different fruit salads can the chef create? ( ) A. 40320 B. 70 C. 10080 D. 1680

Television Show: Four contestants are on a television show. There are four different-colored rubber balls in a box, and each contestant gets to pick one from the box. Inside each ball is a slip of paper indicating the amount the contestant has won. The amounts are $10,000, $5,000, $2,000, and…

A temporary employment agency has six men and five women who wish to be assigned for the day. One employer has requested four employees for security guard positions, and the second employer has requested three employees for moving furniture in an office building. If we assume that each of the…

Determine whether the situation represents a permutation or combination problem.A group of five friends, Arline, Inez, Judy, Dan, and Eunice, are forming a club. The group will elect a president and a treasurer. In how many different ways can the president and treasurer be selected?

The call letters for a television station must consist of four letters and begin with either a K or a W. How many distinct call letters are possible if repeating any letter is not allowed?

Find the coefficient of the indicated term in the expansion of (x + 13)^7, 4th term.

Find the coefficient of the indicated term in the expansion of (x+2)^7, 4th term.

Find the coefficient of the indicated term in the expansion of (a + b)^8, 4th term.

On a class field trip, one student out of a class of 24 is needed to assist the zookeeper in feeding the elephant. Explain how to use a random number generator to choose the student assistant fairly.

In Rugby Union, a team scores 5 points for a try, 7 points for a converted try and 3 points for a penalty goal. In how many ways could a team score 22 points?

Prove that for all positive integers n and k, [ n; k ]+[ n; k+1 ]=[ n+1; k+1 ].

ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the total number of ATM codes possible when the first digit is not 0.

Four distinct circles are drawn in a plane. Find the maximum number of points where at least two of the circles intersect. ( ) A. 16 B. 14 C. 12 D. 10 E. 8

Express gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample? ( ) A. interviewing every 5th customer to come into the station B. interviewing customers chosen at random by a computer at the checkout C. interviewing…

In Exercise, find the sum. Use the Binomial Theorem to expand and simplify (2a-5b)^4.

In Exercises, evaluate nCr, using the formula from this section. 25C0 = ___

In Exercises, use the Binomial Theorem to expand and simplify the expression. (y - 2)^4

Determine whether each situation involves a permutation or combination. Explain your reasoning. Three mannequins in a display window.

How many different three-digit even positive integers can be made using the digits 1, 2, 3, 4, 5 if no digit can be used more than once in a number? ( ) A. 24 B. 28 C. 72 D. 86 E. 48

How many 3-digit positive integers can be formed using no zeros and at least one 7? ( ) A. 210 B. 217 C. 219 D. 220 E. 230

PIN Number. Most banks require a 4-digit ATM PIN code for each customer's bank card. How many possible four-digit PIN codes are there to choose from?

If there are a possible 59 numbers and the lottery officials draw 6 numbers, how many possible combinations are there?

How many terms does the complete expansion of (x + 2y)^9 have? ( ) A. 8 B. 9 C. 10 D. 18 E. 81

As shown above, a certain design is to be painted using 2 different colors. If 5 different colors are available for the design, how many differently painted designs are possible? ( ) A. 10 B. 20 C. 25 D. 60 E. 120

A = {2, 3} B = {4, 5} C = {6, 7}. In how many ways is it possible to pick 1 number from each set so that the 3 numbers could be the lengths of the three sides of a triangle? ( ) A. 0 B. 2 C. 4 D. 6 E. 8

How many 5-digit positive integers are there that satisfy the following conditions?â€¢ Each digit is a 1, 2, 3, 4, or 5.â€¢ No digit is repeated.â€¢ The first and last digits are both odd.

How many positive integers between 0 and 100 can be created using the digits 1, 2, 3, 4, and 5?

A telephone company has run out of seven-digit telephone numbers for a certain area code. To fix the problem, the telephone company will introduce a new area code. What is the maximum number of new seven-digit telephone numbers that will be generated for the new area code if both of the…

How many different three-letter arrangements of the letters above are possible if no letter may be repeated? (An arrangement like ABC is distinct from an arrangement like BCA.)

The coefficient of x^2 in the expansion of (2+px)^6 is 60. Find the value of the positive constant p.

Explain why there is no term independent of x in the binomial expansion of (x^2 - 1)^8.

The number of combinations of n items taken 3 at a time is 92n. Find the value of the constant n.

Connor McDavid is getting dressed for an NHL practice. He has 3 different colored jerseys (blue, white, and gray), 2 helmets, 4 different striped socks, 3 different solid-colored socks, and 2 pairs of gloves. a. In how many ways can Connor choose his socks? b. How many different practice…

Use the binomial expansion to find the first four terms of these series. (1-3x )^7

Use Pascal's triangle to answer the questions below about binomial expansion and nCr. How many terms are in the expansion of (a+b)^8? A. 7 B. 8 C. 9 D. 10 E. 11

Jake is ordering shirts for the Calculus Club. He can buy t-shirts or button downs. Each type of shirt comes in blue or red. The logo can be a Queen or a King. How many different combinations of shirts does Jake have to choose from?

How many ways can a committee of 3 people be made from a group of 10 people?

What is the coefficient of the x^4 term in the expansion of (x+3)^8?

What is the coefficient of the b^5 term in the expansion of (a+b)^11?

What is the coefficient of the a^5 term in the expansion of (a+b)^10? ( ) A. 252 B. 126 C. 210 D. 462 E. 120

3 out of 10 students were chosen to be president, vice president, and secretary of the Beta Club. How many ways can this be done? Pascal's Triangle

Work out the binomial expansions of these expressions up to and including the term in x^2 - 4x.

Work out the binomial expansions of these expressions up to and including the term in x^3(1+x)^(1)/(2)

Which of the following is equal to 11C5? Explain. 11 * 10 * 9 * 8 * 7 / (5 * 4 * 3 * 2 * 1)

Substitute x=1100 into the binomial expansion in part a and hence obtain an approximation to √(97). Give your answer to 5 decimal places.

For each expression: find the binomial expansion up to and including the term in x^3 35-2x

Write down the first four terms, in ascending powers of x, of the binomial expansion of (3+x)^8.

Follow the outline below and use mathematical induction to prove the Binomial Theorem: (a+b)^n = [ n; 0 ] a^n + [ n; 1 ] a^(n-1)b + [ n; 2 ] a^(n-2)b^2 + â‹¯ + [ n; n-1 ] ab^(n-1) + [ n; n ] b^n. Multiply both sides of the statement assumed to be true by a+b. Add exponents on the left. On the…

A factory advertises for four employees. Eight men and five women apply. How many different selections of employees are possible from these applicants?

Find the binomial expansion of (x+1x)^5 giving each term in its simplest form.

Find the first four terms in the binomial expansion of: (10 - 12x)^6

The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 is 30. Find the three possible values of the constant a.

In the expansion of (1 + x)^6 the coefficient of x is 6.

How many different ways can 6 people line up to buy tickets for a roller coaster ride?

A single die is rolled and a coin is flipped. How many combined outcomes are possible? Solve By using the multiplication principle

Use the scenario in the box. Calvin has enough money to get 3 new T-shirts at a buy two, get one free sale. There are 8 color choices, and he wants to get 3 different colors. How many possible combinations of 3 colors are there? Explain why you should use combinations rather than permutations…

Find the total number of outcomes when a number from 0 to 9 is randomly chosen, then a letter from A to D is randomly chosen.

Consider the following studies being run by three different AP Statistics instructors. I.One rewards students every day with lollipops for relaxation, encouragement, and motivation to learn the material. II.One promises that all students will receive A's as long as they give their best…

The mean and standard deviation of the population {1, 5, 8, 11, 15} are μ = 8 and σ = 4.8, respectively. Let S be the set of the 125 ordered triples (repeats allowed) of elements of the original population. Which of the following is a correct statement about the mean and standard deviation of…

A reading specialist in a large public school system believes that the more time students spend reading, the better they will do in school. She plans a middle school experiment in which an SRS of 30 eighth graders will be assigned four extra hours of reading per week, an SRS of 30 seventh…

Jacob has some red balls and some green balls in a bag. Altogether he has 70 balls. Jacob picks one ball from the bag. The probability that Jacob picks a red ball is x and the probability that Alice picks a green ball is 4x. Work out how many green balls are in the bag.

15 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

88 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

15 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

The odds of you getting into your dream college this year are .15 . The odds of you getting a scholarship are about .72 . What are the odds that you get into your dream college and a scholarship ?

The odds of you getting into your dream college this year are .4 . The odds of you getting a scholarship are about .62 . What are the odds that you get into your dream college and a scholarship ?

The odds of you getting into your dream college this year are .5 . The odds of you getting a scholarship are about .52 . What are the odds that you get into your dream college and a scholarship ?

$ 2,3,4,5 $ each digit not occurring more than onee in any number. 11. ??? $ 0,1,2,3,4 $ ?? ???????? ?? ????? Find the number of even numbers that ???????? ????? ?? ???? ??, ???? ?? ??????????? ??? ??? digits repeated in any number. 12. 'VIOLENT' 12. 'VIOLENT' ???? ?? ?????? ?? ????? ?????…

?? ??? ?? ?? ?????? ??? ???? ??? ??? Find the number of numbers lying between 300 and 3000 that can be formed with the digits 0,1 , 11. ??? $ 0,1,2,3,4 $ ?? ???????? ?? Find the number of even numbers that ?an be formed with the digits $ 0,1,2,3,4 $ none digits repeated in any number.…

Which of the following is not a measure of dispersion? a. the range b. the 50th percentile c. the standard deviation d. the interquartile range e. the variance

The combined tonnage of mail passing each day through the local postal center is discrete data: True or False?

The number of avocadoes produced by my avocado tree each year is continuous data: True or False?

The distance that a cyclist rides each day is what sort of data: a) Discrete b) Continuous c) None of the above

Continuous data is from qualities that can be A) Measured B) Counted C) Both

Number of Hours Frequency 0 - 9 | 40 10 - 19 | 50 20 - 29 | 70 30 - 39 | 40 The class width for this distribution a. is 9 b. is 10 c. is 11 d. varies from class to class e. None of the above answers is correct.

Since the mode is the most frequently occurring data value, it a. can never be larger than the mean b. is always larger than the median c. is always larger than the mean d. must have a value of at least two e. None of the above answers is correct.

In a five number summary, which of the following is not used for data summarization? a. the smallest value b. the largest value c. the median d. the 25th percentile e. the mean

The sum of the percent frequencies for all classes will always equal a. one b. the number of classes c. the number of items in the study d. 100 e. None of the above answers is correct.

The mean of five numbers is 7. One of the numbers, 9, is deleted. What is the mean of the remaining 4 numbers?

Which level if measurement is required for the mode? A) Nominal B) Ordinal C) Ratio

Which of the following measures is affected most by extreme values? A) Median B) Mean C) Mode

There are 8 different Gatorade flavors at a Walmart. How many ways can someone buy 4 different Gatorade flavors, where order matters?

What is the difference between a combination and a permutation?

There are 7 different speakers at a BestBuy. How many different combinations of speakers can Rishi order ?

There is an M&M cookie, a Hershey's cookie, a Snickers cookie, and an Oreo cookie. How many ways can Dalia arrange three different cookies she likes?

Joe has three different hair products. How many ways can he apply two different hair products, where order matters?

Elizabeth has five different hair products. How many ways can she apply two different hair products, where order matters?

How many ways can you make a combination in a lock with 6 numbers?

How many ways can you make a combination in a lock when there is 5 different numbers?

How many ways can you pick 2 jelly beans in a jar with 10 different jelly beans?

There are 5 different types of headphones at a local technology store. John wanted two pairs. How many different pairs of headphones can he get?

How many ways can you pick 2 cars in a parking lot with 6 different cars?

How many ways can you pick 4 candy bars in a stash with 7 different candy bars?

How many ways can you pick 3 cookies in a jar with 5 different cookies?

Calculate the standard score (z-score) of the given sample mean. u=31 and o=9, n=64, x=30

A research center claims that less than 20% of Internet users in the United States have wireless network in their home. In a random sample of 100 adults, 15 say they have a wireless network in their home. At α = 0.01 , is there enough evidence to support the researcher's claim? Step I…

Explain what the mean is, the formula and calculate it for the following set of numbers: 62, 87, 87, 52, 53

Explain what the mean is, the formula and calculate it for the following set of numbers: 45, 43, 81, 98, 41

Explain what the mean is, the formula and calculate it for the following set of numbers: 70, 98, 58, 55, 55

Explain what the mean is, the formula and calculate it for the following set of numbers: 95, 53, 46, 97, 81

How many ways can a 10-question true-and-false exam be answered if no questions are left blank? (A) 512 (B) 100 (C) 1,024 (D) 10 (E) 3,628,800

A list consists of all possible three-letter arrangements formed by using the letters above such that the first letter is D and one of the remaining letters is A. If no letter is used more than once in an arrangement in the list and one three-letter arrangement is randomly selected from the…

Seven students with unequal heights are arranged in a line. In how many ways can the students be arranged in a line so that the shortest student is first and the tallest student is last?

Find the indicated terms in the given binomial expansion. Find the 20th term in the expansion of (a+b)^22.

Find the indicated terms in the expansion of the given binomial. The middle term in the expansion of (x^2+1)^18

A team of 6 players is to be chosen from 8 men and 4 women. Find the number of different ways this can be done if there is at least one woman in the team.

Use the binomial expansion to find the first four terms of this series: (1 - x^4)^6.

Using the binomial theorem, or otherwise, find the first four terms of these expressions. (3x+1)^4

Find the value of k such that the coefficient of the x^-1 term in the expansion of (kx+2x)^5 is 720.

Here is a different type of dartboard. A player throws 2 darts at the board. His score is the sum of the integers in the areas his darts land. Assume both darts hit the board. How many different scores are possible?

An unusual die has its six faces labeled 1, 2, 3, 5, 7, 9. If two such dice are rolled, and the numbers showing on the upper faces are added, then the number of possible different sums is ( ) A. 36 B. 16 C. 15 D. 14 E. 13

Use Pascal's triangles to answer the questions below about by binomial expansion and nCr.How many terms are in the expansion of (a+b)^15? （）A. 11B. 13C. 14D. 15E. 16

Find the term or the expansion in each. What is the value of the following? [30; 5]

How many outfits can be made if you chose from 5 pairs of jeans, 6 shirts, 4 sweaters, and 7 pairs of shoes?

State if each scenario involves a permutation or combination (1 point each). Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

State if each scenario involves a permutation or a combination. Mike has homework in five subjects. He is deciding what order to complete them in.

Write down the first three terms in the binomial expansion of (1+x)^-(1)/(2), in ascending powers of x

Use the Binomial Theorem to expand the expression. In the study of probability, it is sometimes necessary to use the expansion (p+q)^n, where p+q=1. (23+13)^4

Find the binomial expansion of (1-3x)Â³/2 in ascending powers of x up to and including the xÂ³ term, simplifying each term.

For each of the following: find the binomial expansion up to and including the x^3 term (1+x)^-(1)/(4)

The first three terms in the binomial expansion of âˆš(a+bx) are 13-2x^2+27+2x^2+81. Find the coefficient of the term in x^3 in its simplest form.

Use the binomial theorem to find the first four terms, in ascending powers of x, in the expansion of: (1 + x)^15.

Find the number of ways in which the letters of the word ELEVATED can be arranged if between any two Es there must be at least 2 other letters.

Use the Binomial Theorem to write the first three terms in the expansion and simplify: (x+y^2)^8.

Use the formula for _n C_r to solve Exercise. To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?

a. Write down the first three terms in the binomial expansion of (1-2x)^(1/2) in ascending powers of x. b. Write down the first three terms in the binomial expansion of (1+x)^(-1/2) in ascending powers of x. c. Use your answers to a and b to prove that âˆš(1-2x)(1+x)=1-3/2x+3/8x^2+.....

Find the first three terms of these binomial expansions in descending powers of x.(x+4)^7

Find, in the expansion of (1 + t^2 + t^3)^10, the coefficient of t^10.

Use the binomial expansion to fully simplify each of these expressions. Give your final answers in surd form. [1 - âˆš(5)]^6

The 14th row of Pascal's triangle is shown below.1 13 78 … …Find the next two values in the row.

Write down the term indicated in the binomial expansion of the following function: (2a - 3b)^10, term containing b^8.

Write down the first four terms in the binomial expansion of: (2+x)^10

Three boxes each contain three identical balls. The first box has red balls in it, the second has blue balls, and the third has green balls. In how many ways can three balls be arranged in a row if all three balls are of the same color?

In how many ways can ten different books be divided into two groups of six books and four books?

Find the indicated term in each expansion if the terms of the expansion are arranged in decreasing powers of the first term in the binomial. (a+b)^12; fifth term.

In a horse race, how many different finishes among the first three places are possible for a 10-horse race? Exclude ties.

Adam is measuring the heights in cm of his tomato plants. [Height (cm) Frequency: 140 < h â‰¤ 150 7; 150 < h â‰¤ 160 10; 160 < h â‰¤ 170 15; 170 < h â‰¤ 180 19; 180 < h â‰¤ 200 9;] Estimate the standard deviation.

Find the first four terms, in ascending powers of x, of the binomial expansion (2 + kx)^6. Given that the coefficient of the x^3 term in the expansion is -20.

The Little Twelve Football Conference has two divisions, with eleven teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?

Many newspapers contain Jumble puzzles, where the letters of a word are given out of order. In Exercise, read the Recreational Math box on page 741 and determine: (1) the number of possible arrangements of the letters given. (2) the word.

Given points F, G, H, and I with no three of the points collinear, what is the maximum number of distinct lines that can be defined using points F, G, H, and I? ( ) A. 4 B. 5 C. 6 D. 8

The U.S. Postal Service uses five-digit ZIP codes to route letters and packages to their destinations. In 1983, the U.S. Postal Service introduced the ZIP+4, which added four more digits to the existing five-digit ZIP codes. Using the numbers 0 through 9, how many additional ZIP codes were…

How many different 4 letter words (arrangements where order matters) can be made from the letters A, E, I, O, U, Y?

The Beau Chene Garden Club has 12 members. They plan to elect a president, a vice-president, and a treasurer. How many different outcomes are possible for the election if each member is eligible for each office and no one can hold two offices?

Solve each problem. Poker Hands: How many five-card poker hands are there if you draw five cards from a deck of 52?

What is the coefficient of aÂ³bÂ²c in the expansion of (a + b + c)â¶?

A rough estimate at a 95% confidence level of the relationship between sample size (n) and margin of error can be determined using the formula: Margin of Error (decimal) = 1/sqrt(n). In a research survey with 19,702 people, only about 7% said that they enjoyed taking math in school. What is the…

What is the mode of the data in the stem plot?

A normal distribution has mean xÌ„ and standard deviation s. Find P(xÌ„ â€“ 2s â‰¤ x â‰¤ xÌ„ + 2s). Express your answer as a decimal rounded to the nearest hundredth. P = ___

First, state whether the problem is a permutation or combination problem. Then, solve.For the special at a restaurant you can choose 3 different items from the 10 item menu. How many different combinations of meals could you get? If the waiter chooses your 3 items at random, what's the…

Your school wants to determine how students feel about the course load they have each day by letting students volunteer to take the survey. Classify the sampling method.

Your school wants to determine how happy students are with the selection of foods available for lunch. In order to conduct this survey, they decide to randomly select students to survey. Classify this sampling method.

Simplify the following expression so that they do not have a factorial symbol. (7!)/(3!)

At a swimming competition, nine swimmers compete in a race. How many ways can all nine swimmers line up for a photo?

For the following exercises, find the indicated term of each binomial without fully expanding the binomial. The eighth term of (7+5y)^14.

For the following exercise, use the Binomial Theorem to write the first three terms of each binomial. (a - 2b)^15

In Exercise, find the number of distinguishable permutations of the group of letters A, N, T, A, R, C, T, I, C, A.

In this exercise, determine the number of ways a computer can randomly generate one or more distinct integers from 1 through 12, such that the sum of the two integers is 9.

State the number of terms in each expansion and give the first two terms. (x - 3y)^6

An anagram is a word or phrase that is made by rearranging the letters of another word or phrase. Consider the word "SILENT." How many different arrangements of the letters in this word are possible? Write this number as a factorial. (Hint: First solve a simpler problem to see a pattern, such…

How many three-digit numbers can be formed under each condition? The leading digit cannot be 0.

In a plane, lines are drawn through a given point O so that the measure of each non-overlapping angle formed about point O is 60Â°. How many different lines are there? ( ) A. Two B. Three C. Four D. Five E. Six

Tyler must choose a 4-digit password for his bank account. Find the number of possible 4-digit passwords using four different digits.

Find the coefficient of the term a^3b^5 in the expansion of (2a - 3b)^8.

Write down the first three and last two terms of the binomial expansion of: (2x - 3x)^20

Companies whose stocks are listed on the New York Stock Exchange (NYSE) have their company name represented by 1, 2 or 3 letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NYSE?

A word processing program requires a user to enter a 7-digit registration code made up of the digits 1, 2, 4, 5, 6, 7, and 9. Each number has to be used, and no number can be used more than once. How many different registration codes are possible?

A swimming coach plans to pick four swimmers out of a group of 6 to form the 400-meter freestyle relay team. The swimmers have been chosen for the relay team. The coach must now decide in which order the four swimmers should swim. He timed the swimmers in each possible order and chose the best…

An envelope contains eight bills: 2 ones, 2 fives, 2 tens, and 2 twenties. Two bills are drawn without replacement. How many ways are there such that their sum is 20 or more? ( ) A. 10 B. 12 C. 13 D. 14 E. 20

Find the sum of the mean, median, and mode for this set of numbers: 15, 7, 11, 7, 5, 13, 9.

On a certain test, a class of 12 students has an average (arithmetic mean) score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes? ( ) A. 82 B. 82.5 C. 83 D. 84 E. 84.5

How many different ways can five different books be arranged on a bookshelf? ( ) A. 5 B. 15 C. 24 D. 120

Find how many 5-digit even numbers can be made using each of the digits 1, 2, 3, 4, 5 once only.

Add each of the first five rows of Pascal's triangle, as indicated. Do you see a pattern? 1+1=2, 1+2+1=4, 1+3+3+1=8, 1+4+6+4+1=16, 1+5+10+10+5+1=32. On the basis of the pattern you have found, find the sum of the nth row: [n; 0] + [n; 1] + [n; 2] + â€¦ + [n; n]. Prove your result by expanding…

Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if a chemistry book is at each end of the shelf,

You have five black discs and five white discs which are arranged in a line as shown. We want to get all the black discs to the right-hand end and all the white discs to the left-hand end. The only move allowed is to interchange two neighboring discs. How many moves does it take? How many moves…

Five different books are on a shelf. In how many different ways could you arrange them?

Sean is choosing new uniforms for the baseball team. Pants come in 3 styles, shirts come in 5 styles, and caps in 4 styles. How many different ways can a 3 piece uniform be chosen?

State if each scenario involves a permutation or a combination. Then find the number of possibilities. Selecting which nine players will be in the batting order on a 10 person team.

Find the number of possibilities in each scenario (2 points each). A group of 50 people is going to run a race. The top three runners earn gold, silver, and bronze medals.

Evaluate the range of values of x for which the binomial expansion of this expression is valid. (12 + 13x)^(1/4)

Select the values of x for which the binomial expansion of (5+3x)^-2 is valid. ( ) A. |x|<1 B. |x|<3 C. |x|<5 D. |x|<35

Find the binomial expansion of (1+4x)^2 up to and including the term in x^3. State the range of values of x for which the expansion is valid.

Given that [ 25; 11 ] = 25! / (11! * p!), write down the value of p.

Use the formula for _nC_r to solve Exercises. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?

Work out the binomial expansions of these expressions, up to and including the term in x^2. Simplify coefficients in terms of the positive constant k. (âˆšk + x)^-2

Use the binomial theorem to find the first four terms in the expansion of: (1 - 2x)^5

Using the 26-letter alphabet, how many 3-letter words can we form that have no repeated letters?

You have learned that the coefficients in the expansion of (x+y)^n yield a number pyramid called Pascal's triangle. This activity explores some of the interesting properties of this famous number pyramid. Pick any row of Pascal's triangle that comes after the first. Starting at the left end of…

Determine whether the situations represent permutations or combinations. Then solve. How many ways are there to elect a President, Vice President, Secretary, and Treasurer from a club with 32 members?

How many seating arrangements are possible with six people and six chairs in a row? Solve by using the multiplication principle.

Work out the first three terms in the binomial expansion of (2+3x)^2

There are 8 girls and 6 boys on the student council. How many committees of 3 girls and 2 boys can be formed? Show your work.

Calculate _10C_6 and _10C_4. Use your observations to help you state a generalization about combinations.

Work with a small group to solve the following cases. Show your work on a separate piece of paper. In bowling, you get a spare when you knock down the ten pins in two throws. How many possible ways are there to get a spare?

Emma, Olivia, Ava, and Isabella are going to drive together to a nearby theme park. The car they are using has 4 seats: 1 Driver seat, 1 front passenger seat, and 2 back passenger seat. Emma and Olivia are the only ones who know how to drive the car. How many possible seating arrangements are…

Amy, Ben, Canny, Debby, Emily, Vicky six people stand side by side in a row. If Ben and Debby must be adjacent, how many different arrangements are there?

The 54 members of a club include both the club president and the club treasurer. All 54 members want to go on a coach tour, but the coach only has room for 48 people. In how many ways can 48 members be chosen if both the club president and the club treasurer must be included?

When making a fruit salad, a chef chooses 4 fruits from 8 that are in season. How many different fruit salads can the chef create? ( ) A. 40320 B. 70 C. 10080 D. 1680

Television Show: Four contestants are on a television show. There are four different-colored rubber balls in a box, and each contestant gets to pick one from the box. Inside each ball is a slip of paper indicating the amount the contestant has won. The amounts are $10,000, $5,000, $2,000, and…

A temporary employment agency has six men and five women who wish to be assigned for the day. One employer has requested four employees for security guard positions, and the second employer has requested three employees for moving furniture in an office building. If we assume that each of the…

Determine whether the situation represents a permutation or combination problem.A group of five friends, Arline, Inez, Judy, Dan, and Eunice, are forming a club. The group will elect a president and a treasurer. In how many different ways can the president and treasurer be selected?

The call letters for a television station must consist of four letters and begin with either a K or a W. How many distinct call letters are possible if repeating any letter is not allowed?

Find the coefficient of the indicated term in the expansion of (x + 13)^7, 4th term.

Find the coefficient of the indicated term in the expansion of (x+2)^7, 4th term.

Find the coefficient of the indicated term in the expansion of (a + b)^8, 4th term.

On a class field trip, one student out of a class of 24 is needed to assist the zookeeper in feeding the elephant. Explain how to use a random number generator to choose the student assistant fairly.

In Rugby Union, a team scores 5 points for a try, 7 points for a converted try and 3 points for a penalty goal. In how many ways could a team score 22 points?

Prove that for all positive integers n and k, [ n; k ]+[ n; k+1 ]=[ n+1; k+1 ].

ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the total number of ATM codes possible when the first digit is not 0.

Four distinct circles are drawn in a plane. Find the maximum number of points where at least two of the circles intersect. ( ) A. 16 B. 14 C. 12 D. 10 E. 8

Express gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample? ( ) A. interviewing every 5th customer to come into the station B. interviewing customers chosen at random by a computer at the checkout C. interviewing…

In Exercise, find the sum. Use the Binomial Theorem to expand and simplify (2a-5b)^4.

In Exercises, evaluate nCr, using the formula from this section. 25C0 = ___

In Exercises, use the Binomial Theorem to expand and simplify the expression. (y - 2)^4

Determine whether each situation involves a permutation or combination. Explain your reasoning. Three mannequins in a display window.

How many different three-digit even positive integers can be made using the digits 1, 2, 3, 4, 5 if no digit can be used more than once in a number? ( ) A. 24 B. 28 C. 72 D. 86 E. 48

How many 3-digit positive integers can be formed using no zeros and at least one 7? ( ) A. 210 B. 217 C. 219 D. 220 E. 230

PIN Number. Most banks require a 4-digit ATM PIN code for each customer's bank card. How many possible four-digit PIN codes are there to choose from?

If there are a possible 59 numbers and the lottery officials draw 6 numbers, how many possible combinations are there?

How many terms does the complete expansion of (x + 2y)^9 have? ( ) A. 8 B. 9 C. 10 D. 18 E. 81

As shown above, a certain design is to be painted using 2 different colors. If 5 different colors are available for the design, how many differently painted designs are possible? ( ) A. 10 B. 20 C. 25 D. 60 E. 120

A = {2, 3} B = {4, 5} C = {6, 7}. In how many ways is it possible to pick 1 number from each set so that the 3 numbers could be the lengths of the three sides of a triangle? ( ) A. 0 B. 2 C. 4 D. 6 E. 8

How many 5-digit positive integers are there that satisfy the following conditions?â€¢ Each digit is a 1, 2, 3, 4, or 5.â€¢ No digit is repeated.â€¢ The first and last digits are both odd.

How many positive integers between 0 and 100 can be created using the digits 1, 2, 3, 4, and 5?

A telephone company has run out of seven-digit telephone numbers for a certain area code. To fix the problem, the telephone company will introduce a new area code. What is the maximum number of new seven-digit telephone numbers that will be generated for the new area code if both of the…

How many different three-letter arrangements of the letters above are possible if no letter may be repeated? (An arrangement like ABC is distinct from an arrangement like BCA.)

The coefficient of x^2 in the expansion of (2+px)^6 is 60. Find the value of the positive constant p.

Explain why there is no term independent of x in the binomial expansion of (x^2 - 1)^8.

The number of combinations of n items taken 3 at a time is 92n. Find the value of the constant n.

Connor McDavid is getting dressed for an NHL practice. He has 3 different colored jerseys (blue, white, and gray), 2 helmets, 4 different striped socks, 3 different solid-colored socks, and 2 pairs of gloves. a. In how many ways can Connor choose his socks? b. How many different practice…

Use the binomial expansion to find the first four terms of these series. (1-3x )^7

Use Pascal's triangle to answer the questions below about binomial expansion and nCr. How many terms are in the expansion of (a+b)^8? A. 7 B. 8 C. 9 D. 10 E. 11

Jake is ordering shirts for the Calculus Club. He can buy t-shirts or button downs. Each type of shirt comes in blue or red. The logo can be a Queen or a King. How many different combinations of shirts does Jake have to choose from?

How many ways can a committee of 3 people be made from a group of 10 people?

What is the coefficient of the x^4 term in the expansion of (x+3)^8?

What is the coefficient of the b^5 term in the expansion of (a+b)^11?

What is the coefficient of the a^5 term in the expansion of (a+b)^10? ( ) A. 252 B. 126 C. 210 D. 462 E. 120

3 out of 10 students were chosen to be president, vice president, and secretary of the Beta Club. How many ways can this be done? Pascal's Triangle

Work out the binomial expansions of these expressions up to and including the term in x^2 - 4x.

Work out the binomial expansions of these expressions up to and including the term in x^3(1+x)^(1)/(2)

Which of the following is equal to 11C5? Explain. 11 * 10 * 9 * 8 * 7 / (5 * 4 * 3 * 2 * 1)

Substitute x=1100 into the binomial expansion in part a and hence obtain an approximation to √(97). Give your answer to 5 decimal places.

For each expression: find the binomial expansion up to and including the term in x^3 35-2x

Write down the first four terms, in ascending powers of x, of the binomial expansion of (3+x)^8.

Follow the outline below and use mathematical induction to prove the Binomial Theorem: (a+b)^n = [ n; 0 ] a^n + [ n; 1 ] a^(n-1)b + [ n; 2 ] a^(n-2)b^2 + â‹¯ + [ n; n-1 ] ab^(n-1) + [ n; n ] b^n. Multiply both sides of the statement assumed to be true by a+b. Add exponents on the left. On the…

A factory advertises for four employees. Eight men and five women apply. How many different selections of employees are possible from these applicants?

Find the binomial expansion of (x+1x)^5 giving each term in its simplest form.

Find the first four terms in the binomial expansion of: (10 - 12x)^6

The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 is 30. Find the three possible values of the constant a.

In the expansion of (1 + x)^6 the coefficient of x is 6.

How many different ways can 6 people line up to buy tickets for a roller coaster ride?

A single die is rolled and a coin is flipped. How many combined outcomes are possible? Solve By using the multiplication principle

Use the scenario in the box. Calvin has enough money to get 3 new T-shirts at a buy two, get one free sale. There are 8 color choices, and he wants to get 3 different colors. How many possible combinations of 3 colors are there? Explain why you should use combinations rather than permutations…

Find the total number of outcomes when a number from 0 to 9 is randomly chosen, then a letter from A to D is randomly chosen.

Consider the following studies being run by three different AP Statistics instructors. I.One rewards students every day with lollipops for relaxation, encouragement, and motivation to learn the material. II.One promises that all students will receive A's as long as they give their best…

The mean and standard deviation of the population {1, 5, 8, 11, 15} are μ = 8 and σ = 4.8, respectively. Let S be the set of the 125 ordered triples (repeats allowed) of elements of the original population. Which of the following is a correct statement about the mean and standard deviation of…

A reading specialist in a large public school system believes that the more time students spend reading, the better they will do in school. She plans a middle school experiment in which an SRS of 30 eighth graders will be assigned four extra hours of reading per week, an SRS of 30 seventh…

Jacob has some red balls and some green balls in a bag. Altogether he has 70 balls. Jacob picks one ball from the bag. The probability that Jacob picks a red ball is x and the probability that Alice picks a green ball is 4x. Work out how many green balls are in the bag.

15 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

88 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

15 Runners enter a race. The race offers a first, second, third and fourth place prize. How many different combinations of 1st, 2nd, 3rd and 4th place winners can there be?

The odds of you getting into your dream college this year are .15 . The odds of you getting a scholarship are about .72 . What are the odds that you get into your dream college and a scholarship ?

The odds of you getting into your dream college this year are .4 . The odds of you getting a scholarship are about .62 . What are the odds that you get into your dream college and a scholarship ?

The odds of you getting into your dream college this year are .5 . The odds of you getting a scholarship are about .52 . What are the odds that you get into your dream college and a scholarship ?

$ 2,3,4,5 $ each digit not occurring more than onee in any number. 11. ??? $ 0,1,2,3,4 $ ?? ???????? ?? ????? Find the number of even numbers that ???????? ????? ?? ???? ??, ???? ?? ??????????? ??? ??? digits repeated in any number. 12. 'VIOLENT' 12. 'VIOLENT' ???? ?? ?????? ?? ????? ?????…

?? ??? ?? ?? ?????? ??? ???? ??? ??? Find the number of numbers lying between 300 and 3000 that can be formed with the digits 0,1 , 11. ??? $ 0,1,2,3,4 $ ?? ???????? ?? Find the number of even numbers that ?an be formed with the digits $ 0,1,2,3,4 $ none digits repeated in any number.…

Which of the following is not a measure of dispersion? a. the range b. the 50th percentile c. the standard deviation d. the interquartile range e. the variance

The combined tonnage of mail passing each day through the local postal center is discrete data: True or False?

The number of avocadoes produced by my avocado tree each year is continuous data: True or False?

The distance that a cyclist rides each day is what sort of data: a) Discrete b) Continuous c) None of the above

Continuous data is from qualities that can be A) Measured B) Counted C) Both

Number of Hours Frequency 0 - 9 | 40 10 - 19 | 50 20 - 29 | 70 30 - 39 | 40 The class width for this distribution a. is 9 b. is 10 c. is 11 d. varies from class to class e. None of the above answers is correct.

Since the mode is the most frequently occurring data value, it a. can never be larger than the mean b. is always larger than the median c. is always larger than the mean d. must have a value of at least two e. None of the above answers is correct.

In a five number summary, which of the following is not used for data summarization? a. the smallest value b. the largest value c. the median d. the 25th percentile e. the mean

The sum of the percent frequencies for all classes will always equal a. one b. the number of classes c. the number of items in the study d. 100 e. None of the above answers is correct.

The mean of five numbers is 7. One of the numbers, 9, is deleted. What is the mean of the remaining 4 numbers?

Which level if measurement is required for the mode? A) Nominal B) Ordinal C) Ratio

Which of the following measures is affected most by extreme values? A) Median B) Mean C) Mode

There are 8 different Gatorade flavors at a Walmart. How many ways can someone buy 4 different Gatorade flavors, where order matters?

What is the difference between a combination and a permutation?

There are 7 different speakers at a BestBuy. How many different combinations of speakers can Rishi order ?

There is an M&M cookie, a Hershey's cookie, a Snickers cookie, and an Oreo cookie. How many ways can Dalia arrange three different cookies she likes?

Joe has three different hair products. How many ways can he apply two different hair products, where order matters?

Elizabeth has five different hair products. How many ways can she apply two different hair products, where order matters?

How many ways can you make a combination in a lock with 6 numbers?

How many ways can you make a combination in a lock when there is 5 different numbers?

How many ways can you pick 2 jelly beans in a jar with 10 different jelly beans?

There are 5 different types of headphones at a local technology store. John wanted two pairs. How many different pairs of headphones can he get?

How many ways can you pick 2 cars in a parking lot with 6 different cars?

How many ways can you pick 4 candy bars in a stash with 7 different candy bars?

How many ways can you pick 3 cookies in a jar with 5 different cookies?

Calculate the standard score (z-score) of the given sample mean. u=31 and o=9, n=64, x=30

A research center claims that less than 20% of Internet users in the United States have wireless network in their home. In a random sample of 100 adults, 15 say they have a wireless network in their home. At α = 0.01 , is there enough evidence to support the researcher's claim? Step I…

Explain what the mean is, the formula and calculate it for the following set of numbers: 62, 87, 87, 52, 53

Explain what the mean is, the formula and calculate it for the following set of numbers: 45, 43, 81, 98, 41

Explain what the mean is, the formula and calculate it for the following set of numbers: 70, 98, 58, 55, 55

Explain what the mean is, the formula and calculate it for the following set of numbers: 95, 53, 46, 97, 81

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