Solve the problem.The length of time for telephone conversations (in minutes) is exponentially distributed. The average (mean) length of a conversation is 5 minutes. What is the probability that a conversation lasts less than 3 minutes?

A. 0.451
B. 0.811
C. 0.549
D. 0.189


Answer: A

Mathematics

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Provide an appropriate response.The formula for finding compound interest is A = P nt where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $5,000, the rate is 8%, the compounds each year is 4 (quarterly), and the number of years is 5.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Find the missing length in the following right triangle. If necessary, round to the nearest tenth. 

A. 40 mi B. 20 mi C. 6.3 mi D. 10 mi

Mathematics

Find the eccentricity e of the hyperbola.x2 - 16y2 = 1

A.
B.
C. 4
D. 17

Mathematics

Find the area of the triangle.

A. 30 m2 B. 120 m2 C. 64 m2 D. 32 m2

Mathematics