Solve the problem.The time of a telephone call (in minutes) to a certain town is a continuous random variable with a probability density function defined by  for  Find the probability that the call lasts between 1 and 2 minutes.

A. 1.0625
B. 0.8125
C. 0.9375
D. 0.0625


Answer: C

Mathematics

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Perform the indicated operations. Express the answer as a single polynomial in standard form.12x4(7x6 - 4x2 - 12)

A. 84x10 - 4x2 - 12 B. 84x6 - 48x2 - 144 C. 84x10 - 48x6 - 144x4 D. 84x10 - 48x6

Mathematics

Find the exact value of the expression.cos  cos  + sin  sin 

A. 1
B.
C.
D.

Mathematics

Solve the inequality using the x-intercept method or the intersection-of-graphs method. Express the solution set in interval notation.-3(3z + 16) < -12z - 27

A. (7, ?) B. (-?, 7) C. (-12, ?) D. (-?, -12)

Mathematics

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

Mathematics