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 more than 2 minutes.

A. 0.9688
B. 0.8438
C. 0.0313
D. 0.0625


Answer: C

Mathematics

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Express the integrand as a sum of partial fractions and evaluate the integral.

A. tan-1  -  -  + C
B. tan-1  + ln  -  + C
C. tan-1  +  -  + C
D. tan-1   -  +  + C

Mathematics

Provide an appropriate response.For x2y + xz + z2 = 4, evaluate  when x = -1, y = 2, z = -1.

What will be an ideal response?

Mathematics

If m?A+m?B+m?ACB =180°, what is the measure of each angle?

Mathematics

Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 48 feet from point A and 74 feet from point B. The angle ACB is 49°. How far apart are points A and B?

A. 111.5 ft B. 100.6 ft C. 73.8 ft D. 55.9 ft

Mathematics