A type of lightbulb is labeled as having an average lifetime of 4000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean ? = 4000. What is the median lifetime of these lightbulbs?

Give your answer rounded to two decimal places.


2772.59

Mathematics

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Solve the problem.An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve , - 2 ? x ? 2, about the x-axis (dimensions are in feet). How many cubic feet of fuel will the tank hold to the nearest cubic foot?

A. 7 B. 2 C. 8 D. 3

Mathematics

Solve the problem.The temperature at 5:00 was -6° C. Four hours later, it was -11° C. What was the change in temperature?

A. -5° C B. 5° C C. -17° C D. 17° C

Mathematics

State the domain of the rational function.f(x) = 

A. (-?, 12) ? (12, ?) B. (-?, - 3) ? (- 3, 3) ? (3, ?) C. (-?, - 12) ? (- 12, 12) ? (12, ?) D. (-?, 3) ? (3, ?)

Mathematics

Solve the problem.Suppose S varies directly as the cubed root of T, and that S = 24 when T = 1. Find T when S = 96.

A. 64 B. 24 C. 1 D. 4

Mathematics