What is the surface area of this wedge ?

84 ft^2  

Step-by-step explanation:

The whole prism can be divided into  5 surfaces.

Two triangles and 3 rectangles.

 Find the area of each of the 5 shapes and add them together.

The triangle has a  base of 4 and a height of  3.

Area of triangle 1:    A= 4*3 * 1/2  

                               A = 6  

Area of triangle 2:     A = 4*3 * 1/2

                                   A = 6

Area of rectangle 1 :   A= 4*6

                                    A = 24

Area of rectangle 2;   A = 3*6  

                                     A = 18

Area of rectangle 3:    A= 5 *6  

                                      A = 30

Now add the areas together

    6 + 6 + 24 + 18 + 30 + =  84 ft^2

84

Step-by-step explanation:

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0