James, a production manager, is trying to improve the efficiency of his assembly line. He knows that the machine is set up correctly only 40% of the time. He also knows that if the machine is set up correctly, it will produce good parts 88% of the time, but if set up incorrectly, it will produce good parts only 10% of the time. James starts the machine and produces one part before he begins the production run. He finds the first part to be good. What is the revised probability that the machine was set up correctly

The volume of the prism is other; 5.04 m^3

Step-by-step explanation:

Here, we want to get the volume of the prism

What we have to do here is to calculate the area of the trapezoid base and multiply by the height of the prism

The area of the base is;

A = 1/2(a + b) h

a and b are the parallel sides of the trapezoid which is 80 cm and 2 m

h is the height of the trapezoid which is 1.2 m

80 cm is same as 80/100 = 0.8 m (100 cm = 1 m)

A = 1/2( 0.8 + 2)1.2

A = 1/2 * 2.8 * 1.2 = 1.68 m^2

So we proceed to multiply this with the height of the prism which is 3 m

This will be ;

1.68 m^2 * 3 m = 5.04 m^3