Solve the problem.The time between major earthquakes in the Alaska panhandle region is a random variable with probability density function  for x in [0, ?), where t is measured in days. Find the probability that the time between a major earthquake and the next one is less than 300 days.

A. 0.6164
B. 0.0010
C. 0.3836
D. 0.0006


Answer: C

Mathematics

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Solve the problem.A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 270 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 2208.59 ft B. 1069.53 ft C. 1139.06 ft D. 569.53 ft

Mathematics

Perform the indicated operation

An engineer needs to find the time it will take for his new computer to do 75 billion calculations. If it takes his new computer seconds to do one calculation, how long will it take to do the 75 billion calculations? Leave your answer in scientific notation.

Mathematics

Sketch the graph of the equation.y = x + 3

A.

B.

C.

D.

Mathematics

Factor the expression completely. ? ?

A.
B.
C.
D.
E.

Mathematics