The complement of an angle is one-fourth the measure of the supplement of the angle. What is the measure of the angle to the nearest whole degree?

A) 60°
B) 62°
C) 64°
D) 66°

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Astudent showed the steps below while solving the inequality |x-4|< 1 by graphing.

What is the remainder when 3x^2-x-10 is divided by x-1 -6,-7,-8, or -9