Simplify the following and write answer in standard form. Do your work on a separate sheet of paper and only fill in the coefficients of your final answer. (5x2+2x−7)−(2x2+4x−2) =

What is the number 321,000,000 in scientific notation? also what is the number? ?

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

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?