Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?

A. 20
B. 100
C. 10
D. 500


Answer: C

Mathematics

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State whether the function is linear or quadratic.f(x) = 4x + (1.9)2

A. Linear B. Quadratic

Mathematics

Find the extreme values of the function and where they occur.f(x) = x3 - 3x2 + 1

A. Local minimum at (2, -3). B. Local maximum at (0, 1). C. Local maximum at (0, 1), local minimum at (2, -3). D. None

Mathematics

Use the four-step procedure to solve the variation problem.The amount of water used to take a shower varies directly as the amount of time that the shower is in use. A shower lasting 22 minutes requires 13.2 gallons of water. Find the amount of water used in a shower lasting 6 minutes.

A. 4.2 gallons B. 3.6 gallons C. 3 gallons D. 132 gallons

Mathematics

Solve the problem.Which has a lower present value: $30,000 if interest is paid at a rate of 5.98% compounded continuously for 5 years, or $33,000 if interest is paid at a rate of 3.3% compounded continuously for 65 months?

A. Both investments have the same present value. B. $33,000 with interest is paid at a rate of 3.3% compounded continuously for 65 months has a lower present value. C. $30,000 with interest paid at a rate of 5.98% compounded continuously for 5 years has a lower present value.

Mathematics