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the hypotenuse of a right triangle is 17 ft long. one leg is 3.4 ft longer than the other leg. what are the lenghts of the legs?
Water is flowing into the tank at the rate of 10 pi cubic feet per minute. Express the volume of water in the tank as a function of its height.
Let n=pm such that p is the largest prime factor and n is divisible by p only once. Let G be of order n. Let H be a Sylow p-subgroup of G, and S is the set of all Sylow p-subgroups. How is S decomposed into H-orbits?
out of 500 randomly chosen grocery shoppers, 320 like cheerios and 380 like total. 275 of the grocery shoppers liked both cheerios and total.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that not enough seats will be available on the plane? Round an..
A closed rectangular box having a volume of 7 ft3 is to be constructed. If the material for the sides costs $1.2/ft2 and the material for the top and bottom costs $1.3/ft2, find the dimensions of the box that can be constructed with minimum cost. ..
A bowl is shaped like a hemisphere with diameter 30 cm. A heavy ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
A farmer wants to set aside a rectangular plot of land to contain 160 square meters. If the width is 19 less than the length, find the dimensions of the plot.
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
The same plane can fly 540 miles when flying the same amount of time into a headwind of 20 mph. What is the speed of the plane if there is no headwind or tailwind?
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
If 5 J of work are needed to stretch a spring from 9 cm to 10 cm and 7 J are needed to stretch it from 10 cm to 11 cm, what is the natural length L of the spring?
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