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A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall. How long should the pieces of PVC plumbi..
A city lot has the shape of a right triangle whose hypotenuse is 9 ft longer than one of the other sides. The perimeter of the lot is 340 ft. How long is each side of the lot?
What types of information can you gather from graphing a formula? (Every day use, like budgets, Surveys, etc.)
Recurrence relations with complex characteristic roots
Estimate the mean fill amount of a certain bottle-filling machine to within 0.05 liter. Assume that the population standard deviation is 0.17 liters. How large of a sample is needed to estimate the mean with 95% confidence?
In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability..
Her research indicates that she could earn 45% in one year if the cure is successful or lose 63% in one year if it is not. At what probability of success (P) would the pharmaceuticals stock be the better choice?
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
Use the central limit theorem to find the probability that the average number of moths in 40 traps is greater than 0.6. Give your answer to four decimal places.
A consulting engineer's time is billed at $30 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $715 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on th..
What is the Sample Space? and Find the sets corresponding to the events: A = "hand is in the first four hours." B = "Hand is between 2nd and 8th hours inclusive"; and D = "hand is in an odd hour"?
The upper left-hand corner of a piece of paper 8 in. wide by 12 in. long is folded over to the righthand edge as in the figure. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
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