Solve the problem.The life (in months) of an automobile battery has a probability density function defined by  for x in  Find the probability that the life of a randomly selected battery is greater than 7 years.

A. 0.2066
B. 0.0434
C. 0.8262
D. 0.1738


Answer: D

Mathematics

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?Which of the following lines are perpendicular? Assume that each line moves indefinitely in both directions. ?

A. ?Line A containing the points: (-4, 3), (3, -4) ; Line B containing the points: (2, 6) and (3,7). B. ?Line A containing the points: (-3,2), (3,0); Line B containing the points: (4,2) and (4,8). C. ?Line A containing the points: (-2,-2), (0,-2); Line B containing the points: (3,5) and (3,-2). D. ?a and c only E. ?a and b only

Mathematics

Solve the problem.A rectangular swimming pool has a parabolic drain plate at the bottom of the pool. The drain plate is shaped like the region between  and the line  from  to  The pool is 10 ft by 20 ft and 8 ft deep. If the pool is being filled at a rate of 

alt="" style="vertical-align: -4.0px;" /> what is the fluid force on the drain plate after 4 hours of filling? Round your answer to two decimal places if necessary. A. 153.92 lb B. 486.72 lb C. 76.96 lb D. 166.4 lb

Mathematics

Represent the shaded area in the figure group with a mixed number.

A. 3
B. 4
C. 1
D. 1

Mathematics

Decide if the given number is a solution to the given equation.3p + 4p - 3 = 11; 2

A. Yes B. No

Mathematics