10. use deductive reasoning to write a valid conclusion that
follows from statements (1) and (2).
(1) if x + 6 = 10, then x = 4.
(2) if x = 4, then x2 = 16.

For which pair of functions is (gof)(a)=|a|-2?

Which of the following represents the length of a diagonal of this trapezoid?

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?