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a farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts, as shown in the figure. What length and width should be used?
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
Sung rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 89 cents for each mile driven. Sung had to pay $151.34 when he returned the truck. For how many miles did he drive the truck?
Construct a computer simulation model to keep track of the cash flow
Water is pumped out of a holding tank at a rate of 6 - 6e-0.14t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
A researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week. What is the size of the sample? Identify the population.
to determine the number of deer in a game preserve, a conservatioist catches 569 deer, tags them and lets them loose. Later, 400 deer are caught; 200 of them are tagged. How many deer are in the preserve?
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age, to the nearest year.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
What is the square root property and what is it used for? In what form should an equation be, in order to use the square root property? When should the square root property be used instead of factoring?
Probability Distribution: Mean, Variance & S.D. A frequency distribution is shown below. Complete parts (a) through (e). The number of dogs per household in a small town
An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm.
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
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