A retailer offers an extended warranty on a new refrigerator. The cost of the warranty is $55. The warranty stipulates that the retailer will replace the refrigerator if any failure occurs during the warranty period.
It is estimated that the probability of product failure during the warranty period is 2.5%, and that the cost of replacing the refrigerator is $1100. On average, are new refrigerator extended warranties profitable for the retailer? Explain.

a) What is the probability of the product not failing in the warranty period?
b) What is the net cost of replacement for the company?
c) On average, what is the revenue made on each extended warranty sold?
d) Out of 10,000 refrigerators, how many failures in the warranty period would be expected?

Television sizes are based on the length of the diagonal of the television's rectangular screen. so, for example, a 70-inch television is a television having a diagonal screen length of 70 inches. if a 70 inch television's diagonal forms a 29°angle with the base of the screen, what is the vertical height (1) of the screen to the nearest inch? 70 inhin

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm2. what is the area of the second triangle?