The effectiveness of a television commercial depends on how many times a viewer watches it. after some experiments an advertising agency found that if the effectiveness e is measured on a scale of 0 to 10, then e(n) = 2 3 n − 1 84 n2 where n is the number of times a viewer watches a given commercial. for a commercial to have maximum effectiveness, how many times should a viewer watch it?

Factor p 2 + 18p + 32. (p+ 4)(p + 8) (p + 2)p+ 16) (p + 16)2

Asalesperson earns $320 per week plus 8% of her weekly sales. the expression representing her earnings is 320 + 0.08x. which of the following describes the sales necessary for the salesperson to earn at least $1000 in the one week?

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?