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Byron McKenzie

Byron M.

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ANSWERED

David Nguyen verified

Numerade educator

A binomial experiment consists of 500 trials. The probability of success for each trial is 0.4. What is the probability of obtaining 190​-205 ​successes? Approximate the probability using a normal distribution.​ (This binomial experiment easily passes the​ rule-of-thumb test for approximating a binomial distribution using a normal​ distribution, as you can check. When computing the​ probability, adjust the given interval by extending the range by 0.5 on each​ side.

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INSTANT ANSWER

Most railroad cars are owned by individual railroad companies. When a car leaves its home​ railroad's trackage, it becomes part of a national pool of cars and can be used by other railroads. The rules governing the use of these pooled cars are designed to eventually return the car to the home trackage. A particular railroad found that each month 8​% of its boxcars on the home trackage left to join the national pool and 85​% of its boxcars in the national pool were returned to the home trackage. If these percentages remain valid for a long period of​ time, what percentage of its boxcars can this railroad expect to have on its home trackage in the long​ run?

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James Kiss verified

Numerade educator

A single card is drawn from a standard​ 52-card deck. Calculate the probability and odds for the following event. A queen or spade is drawn.

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William Semus verified

Numerade educator

The population of a certain country was approximately 50 million in​ 1900, 175 million in​ 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points ​(0,50​), ​(50​,175​), and ​(100​,275​). Use this model to estimate the population in 2050.

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ANSWERED

Steven Clarke verified

Numerade educator

The birth rate in a certain country in 1996 was 14.9 births per thousand population. In 2006​, the birth rate was 14.59 births per thousand. a.  Let x represent years after 1996 and y represent the birth rate. Assume that the relationship between x and y is linear over this period. Write a linear equation that relates y in terms of x. b.  Use the linear equation from part​ (a) to estimate the birth rate in this country in the year 2016.

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Amanda Perez verified

Numerade educator

Find ( A^{-1} ) and ( A^{2} ) [ A=left[egin{array}{rr} 7 & 12 \ -4 & -7 end{array} ight] ]

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ANSWERED

William Semus verified

Numerade educator

The population of a certain country was approximately 75 million in​ 1900, 175 million in​ 1950, and 300 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points ​(0,75​), ​(50​,175​), and ​(100​,300​). Use this model to estimate the population in 2050.

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ANSWERED

Linda Hand verified

Numerade educator

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 45 ​students, requires 4 ​chaperones, and costs ​$1,200 to rent. Each van can transport 9 ​students, requires 1​ chaperone, and costs ​$80 to rent. Since there are 450 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 450 students. Since only 44 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 44 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation​ costs? What are the minimal transportation​ costs?

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