An elevator is supported by a wire cable that can withstand a mean stress of 27,500 lb/in2 with a standard deviation of 700 lb/in2 . The load on the elevator is a random variable that causes a stress with a mean value of 24,000 lb/in2 and a standard deviation of 2,250 lb/in2 . If the load on the elevator and the strength of the cable are normally distributed, find the probability of failure of the cable.

A=1/2h(b1+b2) is the formula for the area of a a trapezoid b regular polygon c triangle d rhombus or kite

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.

The length of the line segment joining the midpoints of sides ab and bc of the parallelogram abcd is 10. find the length of diagnol ac