The function p(m)below relates the amount of time (measured in minutes). jane spent on her homework and the number of problems completed. it takes as input of the minutes worked and returns as output the number of problems completed. p(m)=m/5+8 which equation below represents the inverse function m(p), which takes the number of problems completed as input and returns the number of minutes worked? a. m(p)=40p+5 b. m(p)=40p-5 c. m(p)=5p+40 d. m(p)=5p-40

The variable in a relation who’s value depends on the value of the independent variable is called what?

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?

What is the cube root of -1,000p^12q3? -10p^4 -10p^4q 10p^4 10p^4q