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# Algebra 2

## Educators

### Problem 1

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. the government sending a tax survey to everyone whose social security number ends in a particular digit

Derrick H.

### Problem 2

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. surveying college students in the honors program to determine the average time students at the college study each day

Derrick H.

### Problem 3

For Exercises $3-5,$ find the margin of sampling error to the nearest percent.
$$p=72 \%, n=100$$

Derrick H.

### Problem 4

For Exercises $3-5,$ find the margin of sampling error to the nearest percent.
$$p=31 \%, n=500$$

Derrick H.

### Problem 5

In a survey of 350 randomly selected homeowners, 54$\%$ stated that they are planning a major home improvement project in the next six months.

Derrick H.

### Problem 6

MEDIA For Exercises 6 and 7 , use the following information. A survey found that 57$\%$ of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3$\%$ .
What does the 3$\%$ indicate about the results?

Derrick H.

### Problem 7

MEDIA For Exercises 6 and 7 , use the following information. A survey found that 5$\%$ of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3$\%$ .
How many people were surveyed?

Derrick H.

### Problem 8

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
pointing with your pencil at a class list with your eyes closed as a way to find a sample of students in your class

Derrick H.

### Problem 9

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
putting the names of all seniors in a hat, then drawing names from the hat to select a sample of seniors

Derrick H.

### Problem 10

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
asking every twentieth person on a list of registered voters to determine which political candidate is favored

Derrick H.

### Problem 11

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
finding the heights of all the boys on the varsity basketball team to determine the average height of all the boys in your school

Derrick H.

### Problem 12

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=81 \%, n=100$$

Derrick H.

### Problem 13

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=16 \%, n=400$$

Derrick H.

### Problem 14

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=54 \%, n=500$$

Derrick H.

### Problem 15

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=48 \%, n=1000$$

Derrick H.

### Problem 16

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=33 \%, n=1000$$

Derrick H.

### Problem 17

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
$$p=67 \%, n=1500$$

Derrick H.

### Problem 18

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
A poll asked people to name the most serious problem facing the country. Forty-six percent of the 800 randomly selected people said crime.

Derrick H.

### Problem 19

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
In a recent survey, 431 full-time employees were asked if the Internet has made them more or less productive at work. 27$\%$ said it made them more productive.

Derrick H.

### Problem 20

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
Three hundred sixty-seven of 425 high school students said pizza was their favorite food in the school cafeteria.

Derrick H.

### Problem 21

For Exercises $12-21,$ find the margin of sampling error to the nearest percent.
Nine hundred thirty-four of 2150 subscribers to a particular newspaper said their favorite sport was football.

Derrick H.

Derrick H.

### Problem 29

ACT/SAT In rectangle $A B C D$ , what is $x+y$ in terms of $z ?$
$$\begin{array}{l}{\text { A } 90+z} \\ {\text { B } 190-z} \\ {\text { C } 180+z} \\ {\text { D } 270-z}\end{array}$$

Derrick H.

### Problem 30

REVIEW If $x y^{-2}+y^{-1}=y^{-2},$ then the value of $x$ cannot equal which of the following?
$$\begin{array}{l}{\mathbf{F}-1} \\ {\mathbf{G}\quad 0} \\ {\mathbf{H}\quad 1} \\ {\mathbf{J} \quad 2}\end{array}$$

Derrick H.

### Problem 31

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { all } 5 \text { correct })$

Derrick H.

### Problem 32

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { exactly } 4 \text { correct })$

Derrick H.

### Problem 33

A student guesses at all 5 questions on a true-false quiz. Find each probability.
$P(\text { at least } 3 \text { correct })$

Derrick H.

### Problem 34

A set of 250 data values is normally distributed with a mean of 50 and a standard deviation of 5.5
What percent of the data lies between 39 and 61$?$

Derrick H.
What is the probability that a data value selected at random is greater than 39$?$