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A tree on a hillside casts a shadow 206 ft down the hill. If the angle of inclination of the hillside is to the horizontal and the angle of elevation of the sun is , find the height of the tree. Please round your answers to the nearest whole.
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
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.
Its a common belief that people behave strangely when theres a full moon, and that as a result police and emergency rooms are busier than usual. Design a way you could find out if there is any merit to this belief. Will you use an observational st..
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
A baseball player runs from home plate towards first base at 20 ft/s. How fast is the player's distance from second base changing when the player is three-quarters of the way to the first base? Give your answer correct to two decimal places.
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
.With the conditions of problem 1, if 20 students are selected , what is the probability that the mean of their scores is greater than 18?
Operations Research: Duals Q. Write the dual of this problem, sketch the feasible region of the dual, and find the dual solution graphically
what are the expected winnings far a ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).
The logistic growth function f(t)=400/1+9.0e^-0.22t describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Without doing any further calculation, what do you think the jeans in problem #1 would cost if they had gone on sale by 15% first and then had their price increased by 15%? Why?
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