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The dean at a small college wishes to form an experimental section of General Psychology with 37 students chosen from 24 women and 17 men interested in social science.
(a) How many different such classes are possible?
(b) The dean decides the class should have 22 women and 15 men. How many possible classes are there now? Compare the number of possible classes to the solution to (a).
A tennis court has a perimeter of 228 feet. The length of the tennis court is 42 feet longer than the width. Write a linear equation of the problem. What is the length and width of the court?
Stephanie claims that your model is fundamentally flawed, extend and refine your model to make it more realistic and clearly state any assumptions you used to create your model.
Find the regression coefficients.
What odds should a person give in favor of the following events?
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.
Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function.
The purchasing power of a dollar is decreasing at the rate of 7.3% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.42? Round answers to the nearest hundredth.
Determine the coefficient of determination. Interpret its value.
Find the velocity of the top of the ladder at time t=2.
Chuck travels 88 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
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