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Question: Suppose that mechanics arrive randomly at a tool crib according to a Poisson process with rate it= 10 per hour. It is known that the single tool clerk serves a mechanic in 4 minutes on the average, with a standard deviation of approximately 2 minutes. Suppose that mechanics make $15.00 per hour. Estimate the steady-state average cost per hour of mechanics waiting for tools.
In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
Find the least-squares solution of this system of n equations in the one unknown λ, and write this solution using the original symbols. The resulting estimate for λ is called a Rayleigh quotient.
An object at a distance p from a thin glass lens produces an image at a distance q from the lens, where (1/p) + (1/q) = (1/f).
What is the language generated by the grammar G with vocabulary {S, 0, 1}, set of terminals T = {0, 1}, starting symbol S, and productions S → 000S, S → 1?
john baked a cake. frank ate 16 of the cake. anne ate 15 of what was left. susan ate 14 of what was left after
70 students are required to paint a picture. 52 use green color and some children use red 38 students use both the
A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed.
Give a recurrence for the number of fish in the lake after n years and solve the recurrence.
The longest path problem in a weighted directed graph with no simple circuits asks for a path in this graph such that the sum of its edge weights is a maximum.
For positive a, b, the potential energy, U, of a particle is given by U = b (a2/x2-a/x) for x > 0. Find the asymptotes. Compute the local maximum (x, U). Compute the local minimum (x, U). Sketch the graph.
You then randomize the marbles by shaking them up thoroughly. Assume you then randomly select two marbles from the bag without replacement. What is the probability of selecting two blue marbles?
the surface area of the moon is 37 932 330 km2. Calculate the side length of a square with same area.
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