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A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the pole.
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
Two trains leave stations miles apart at the same time and travel toward each other. One train travels at miles per hour while the other travels at miles per hour. How long will it take for the two trains to meet?
one pound of bananas cost 4.09 per pound. what is the unit cost for the bananas?
Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
The dimensions of a rectangle are such that its length is 9 in. more than its width. If the length were decreased by 4 in., the area would be increased by 110 in.^2. What are the length and width of the rectangle?
Let (S,d) be a metric space and define the function u(x,y) = d(x,y)/(1+d(x,y)) for all x,y
Description of Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
a plane flies 435 miles with the wind and 375 against the wind in the same length of time. if the speed of the wind is 10 mph. find the speed of the plane in still air?
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
What is the probability that you obtain a black ball?
An investment grows by 23% over a 3-year period. What is its effective annual percent growth rate?
Compare the mean of the sample means with the population mean.
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