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A bucket that weighs 3 pounds and a rope of negligible weight are used to draw water from a well that is 77 feet deep. The bucket is filled with 36 pounds of water and is pulled up at a rate of 1.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.25 pounds per second. Find the work done pulling the bucket to the top of the well.
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
John is intending to put $10,000 into investment. He picked a fund that grows at 5% per annum. Assuming his profit is compounded annually, how much money would he have from this investment after 5 years and how long would it take for his money to ..
Expected value, indifference probabilities, expected utility, For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
Project B costs $18,000 and you estimate you could save 18 injuries over the same period. Which project do you recommend? (Assume equal distribution of injuries.)
Find the total output of goods needed to satisfy a consumer demand for $100 million worth of agricultural products and $160 million worth of manufactured goods. (Round your answers to one decimal place.)
Rex Corporation accepted a $5,000 8%, 120-day note dated August 8 from Regis Company in settlement of a past bill. On October 11, Rex discounted the note at Park Bank at 9%. What is the note's dicount period?
Calculate the average rate of change.
Create 2 sets. Set A will be the list of the 5 items you personally need to buy the most (essential items). Set B will be the list of 5 items that you want to buy the most ( fun stuff).
Learning is a lifetime activity. For some, it means learning from everyday experiences; for others, it means taking classes in a more traditional atmosphere. The percentage of people participating in organized learning situations during 2002 for e..
Determine what the Singleton bound, the sphere-packing bound and the Varshamor-Gilbert bound say about the maximum number of information bits that codewords with ten check bits can have if the codewords are protected from 3 or fewer errors.
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