Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weights of adult U. S. men have mean 194 pounds and standard deviation 68 pounds, and the weights of adult U. S. women have mean 164 pounds and standard deviation 77 pounds. 1) If 44 people arc on the elevator, and their total weight is 9240 pounds, what is their average weight?
2) If a random sample of 44 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
3) If a random sample of 44 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?