A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.93, P(C) = 0.95, and P(D) = 0.92. Find the probability that the machine works properly. A) 0.8128B) 0.2441C) 0.8217D) 0.7559

D) 0.7559

Step-by-step explanation:

Independent events:

If two events, A and B are independent:

In this question:

Four independent events, A, B, C and D.

So

Find the probability that the machine works properly.

This is the probability that all components work properly.

So the correct answer is:

D) 0.7559

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,