A student found the surface area of this pyramid.

Surface area = (12)(6) +

1

2

(12)(8) +

1

2

(6)(9.5)

= 72 + 48 + 28.5

= 148.5cm²

A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 12 centimeters and height of 6 centimeters. 2 triangles have a base of 12 centimeters and height of 8 centimeters. 2 triangles have a base of 6 centimeters and height of 9.5 centimeters.

What error did the student make?

The student should have used the same value for all of the triangular faces.

The student added only three of the five faces.

The student did not use the correct formula to find the area of the triangular faces.

The student did not find the correct area of the rectangular base.

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: