(06.06) A rectangle with a width of 4. There is a vertical line that splits rectangle into two sections with different lengths. One length is x the other is 2.

4(x + 2) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points)

Group of answer choices

(x + 2) ⋅ 4

4x + 8

(4 + x) + 2

4x + 2

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

If x = 12 and y = 3, what is the value of x - y 2? 81 6 3 18

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?