Factor by grouping. 6p2 – 17p – 45

(2p – 9)(3p – 5)

(2p + 9)(3p – 5)

(2p – 9)(3p + 5)

(2p + 9)(3p + 5)

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

What would the rule be for the reflection of y=-3

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?