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A plane inclined at an angle of 45° passes through a diameter of the base of a cylinder of radius r = 2. Find the volume of the region within the cylinder and under the plane pictured below.
A retailer finds that the demand for a very popular board game averages 100 per week with a standard deviation of 20. If the seller wishes to have adequate stock 95% of the time, how many of the games must she keep on hand?
Continuous Probability Distribution - Independent Events, A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass.
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
Able industries bought a fax machine for $250. It is expected to depreciate at a rate of 25% per year. What will be the value of the fax machine in 3 years.
Can people really identify their favorite brand of cola.
Without using a trial and error or iterative approach, determine the initial speeds of both swimmers in m/s.
A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees.
what is the probability of getting someone who has been in a car accident?
Graph the given function and label the vertex - Complete the square to write each function as a transformation.
Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)
Suppose that 450 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral w..
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