A triangular prism. The rectangular sides are 2.5 millimeters by 8 millimeters, 8 millimeters by 6.5 millimeters, and 8 millimeters by 6 millimeters. The 2 triangular sides have a base of 2.5 millimeters and height of 6 millimeters.

The triangular prism shown has triangular face(s) and lateral face(s).

The area of one triangular face is mm2.

The surface area of the triangular prism is mm2.

One triangular face = 7.5mm2

Surface area=135mm2

Step-by-step explanation:

Area of a triangle (1/2)(bh) so (1/2)(2.5*6)=7.5

The area of the first rectangle is 20 (2.5*8)

The second rectangle is 52 (6.5*8)

The third rectangle is 48 (8*6)

Then you take the area of one triangle and multiply it by 2, which equals 15.

Then you add it all together and get 135

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