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A closed cylindrical can is to have a surface area of S square units. Show that the can of maximum volume is achieved when the height is equal to the diameter of the base.
A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole.
Asaro was given $1,000 worth of stock in 2001. By 2004, the stock was worth $1,750. If the value of the stock increases at a constant rate, what is its worth in 2006?
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).
Suppose 20 of a company's employees are randomly and independently sampled and asked if they thought their company president had low ethical standards and their years of experience at the company. Could the probability distribution for the number ..
Find the sine of angle B.
Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Find the values defined by the standard deviation that is 3 standard deviations away from th..
A soft-drink cup is in the shape of a right circular cone with capacity 250 ml. If the radius of the circular base is 5 cm, how deep is the cup?
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
Tami goes shopping for a snow blower. She knows nothing about snow blowers. She is equally likely to decide on any of the choices available to her. The snow blower choices are a 5-horsepower and a 10 horse power model, and each is available with a..
Let U be a uniform random variable on the interval (-pi/2, pi/2). Let X=sinU. Find the probability density function of X and calculate E(X) and var(X).
find the point of intersection of each pair of lines
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