Line segment XZ is shown below, Y is the midpoint of XZ. Answer the following questions.
XY= 4a-4 XZ= 3a+2
Find the value of a

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x

For the inequality |c| < |d| to be true, which of the following must be true?

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?