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A 180-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 25 ft. If the silo is 80 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top?
If the two hypotheses have equal prior probability, for what values of x is the posterior probability of H0 greater than that of H1 and what is the form of the likelihood ratio test of H0 versus H1?
Determine the probability on sales
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Probability distribution of a random variable Let x determine a random variable, and user your knowledge of probability to prepare a probability distribution.
a metal storage tank with volume 9 pi ft^3 is to be constructed in the shape of a right circular cylinder surmounted on the top by a hemisphere. what dimensions will require the least amount of material.
Given the following information, calculate the Predictive value positive and the predictive value negative.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount. What increase would create a new storage unit with a volume 10 times the original
If order of the draw were important in a lottery, what would be the effect on odds of winning, if any? Explain. Find Probability and data representation
Solve the problem on percentages
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