Solve the problem.The time to failure t, in hours, of a certain machine can often be assumed to be exponentially distributed with probability density function f(t) = ke-kt, 0 ? t < ?, where k =  and a is the average amount of time that will pass before a failure occurs. Suppose the average amount of time that will pass before a failure occurs is 87 hours. What is the probability that a failure will occur in 43 hours or less?

A. 0.4680
B. 0.3120
C. 0.3900
D. 0.2925


Answer: C

Mathematics

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Add or subtract as indicated.-14 + (-16)

A. 2 B. 30 C. -30 D. -2

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Compare the integers. Insert < or > to make the statement true.6  0

A. > B. <

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Solve the problem.If (-1, -1) is the endpoint of a line segment, and (-4, -3) is its midpoint, find the other endpoint.

A. (-5, -7) B. (-7, -5) C. (5, 3) D. (-7, 1)

Mathematics

Find the values of for which satisfies the equation

What will be an ideal response?

Mathematics