Paul and Tom both commute to work. Paul's commute on the train takes 15 minutes more than one third as many minutes as Tom's commute by car. It takes Paul 45 minutes to get to work. Write an equation to determine how many minutes it takes Tom to get to work.

Identify the polynomial. a2b - cd3 a. monomial b. binomial c. trinomial d. four-term polynomial e. five-term polynomial

Segment an is an altitude of right δabc with a right angle at a. if ab = 2, squared 5 in and nc = 1 in, find bn, an, ac.

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?