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) = e-t/88, 0 ? t < ?,What is the probability that a failure will occur in 41 hours or less?

A. 0.2793
B. 0.4469
C. 0.2979
D. 0.3724


Answer: D

Mathematics

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Perform the operation and give the answer as a fraction in lowest terms. + 

A.
B. 1
C.
D. 2

Mathematics

Choose the equivalent expression for the given expression.tan2x

A. sec2x - 1 B. 1 + csc2x  C. 1 + sec2x  D. csc2x - 1

Mathematics

Find the perimeter (P) and area (A) of the figure.

A. P = 88, A = 377 B. P = 390, A = 754 C. P = 32, A = 416 D. P = 47, A = 416

Mathematics

Solve the problem.A loan officer at a bank has $100,000 to lend and is required to obtain an average return of  per year. If he can lend at the rate of  or the rate of  how much can he lend at the  rate and still meet his required return?

A.

$7142.86?

B. $4000.00
C. $900,000.00
D. $33,333.33

Mathematics