The precent of voters between the ages of 18 and 29 that participated in each untied states presidential election between the years 1988 to 2016 are shown in the table. The function “p” gives the percent of voters between 18 and 29 years old that participated in the election in year “t”. a) determine whether “p” increased or decreased between 1992 and 2000

b) determine the average rate of change for “p” between 1992 and 2000

c) pick two different values of “t” so that the function has a negative average rate of change between the two values. determine the average rate of change.

d) pick two values of “t” so that the function has a positive average rate of change between the two values. determine the average rate of change.

Which speed is the fastest (use 1 mile ≈ 1.6 kilometers)? a. 12 miles/hour b. 18 feet/second c. 19 kilometers/hour d. cannot be determined

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

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?