Annual Miles Driven The average miles driven annually per licensed driver in the United States is approximately $14,090$ miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately $3500$ miles, find the following:
$z$ score for $10,000$ miles

Which has a better relative position: a score of 75 on a statistics test with a mean of 60 and a standard deviation of 10 or a score of 36 on an accounting test with a mean of 30 and a variance of $16 ?$

Miles Driven Annually The mean number of miles driven per vehicle annually in the United States is $12,494$ miles. Choose a randomly selected vehicle, and assume the annual mileage is normally distributed with a standard deviation of $1290$ miles. What is the probability that the vehicle was driven more than $15,000$ miles? Less than $8000$ miles? Would you buy a vehicle if you had been told that it had been driven less than $6000$ miles in the past year?

Write a sentence about each pair of terms below. The sentences should show how the terms are related. transfer payment, grant-in-aid

A car is driven at an increasing speed. Sketch a graph of the distance the car has traveled as a function of time.

Student Expenditures The average expenditure per student (based on average daily attendance) for a certain school year was $\$ 10,337$ with a population standard deviation of $\$ 1560$. A survey for the next school year of $150$ randomly selected students resulted in a sample mean of $\$ 10,798$. Do these results indicate that the average expenditure has changed? Choose your own level of significance.
e. Summarize the results.

A new set of car tires has a tread depth of 8 millimeters. The tread depth decreases 0.12 millimeter per thousand miles driven. Write an equation that gives the tread depth as a function of the distance driven. Then predict at what distance the tread depth will be 2 millimeters.

As used in line 14 of the first passage, recompense most nearly means A. restitution. B. sacrifice. C. expenditure. D. revenge. E. satisfaction.

Suppose Mr. Grant decides to buy square tiles that have side lengths of $\frac{3}{4}$ foot. How many of these tiles will he need to buy?

Calculating depreciation based on miles driven is the straight-line method. True or false?

Tony's weekly cost, C, in dollars, of operating a taxi business can be approximated by the equation C=0.20m+80, where m is the number of miles driven in a week. (a) Draw a graph of weekly cost versus the numb er of miles driven for up to and inducting 500 miles driven per week. (b) If, during one week, Tony drove the taxi 150 miles, what would be the cost? (c) How many miles would Tony have to drive for the weekly cost to be $104?

A car is driven at an increasing speed. Sketch a graph of the distance the car has traveled as a function of time.

For n = 188 students, the correlation between y = fastest speed ever driven and x = number randomly picked between 1 and 10 is about r = 0. Describe what this correlation indicates about the association between the fastest speed driven and picking a number between 1 and 10.

Mrs. Madison drives at a constant rate for 6 hours. After $\frac{1}{2}$ hour, she has driven 25 miles. After 2 hours, she has driven 100 miles. How many miles does she drive in 6 hours?