Calculate the maximum possible volume of the cylinder
A circular cylinder is cut out of a sphere of radius 10cm. Calculate the maximum possible volume of the cylinder. It is probably best to take as your independent variable the height, or half the height, of the cylinder.
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A company sells running shoes to dealers at a rate of $40 per pair if fewer than 80 pairs are ordered. What size order will produce the maximum amount of money for the company?
Because not all airline passengers show up for their reserved seat,an airline sells 130 tickets for a flight that holds 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently. What is the
The company estimates that for each $25 increase in rent, 5 apartments will become unoccupied. What rent should be charged so that the company will receive the maximum monthly income?
Seventy percent of married couples paid for their honeymoon themselves. You randomly select 20 married couples and ask them if they paid for their honeymoon themselves is more than one.
Calculate the maximum possible volume of the cylinder. It is probably best to take as your independent variable the height, or half the height, of the cylinder.
Construct a 99% two sided confidence interval for the average weight of the paper.
Test the hypothesis that the variance of the delivery time for the standard route equals that of the new route.
Angular speed is the rate at which the central angle is changing. Suppose a bicycle wheel with diameter 700 mm makes 30 revolutions in t seconds. Write an equation for the angular speed, v, as a function of time t.
Assuming equal variances, is there evidence that the new route is quicker than the standard route? Calculate the P-value for this test.
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