On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next
day, the temperature increased and both snowmen began to melt. At sunrise,
Snowman A's height decrease by 7 inches per hour and Snowman B's height
decreased by 2 inches per hour. Let A represent the height of Snowman At hours
after sunrise and let B represent the height of Snowman B t hours after sunrise.
Write an equation for each situation, in terms of t, and determine the interval of
time, t, when Snowman A is taller than Snowman B.
A=
В —
Snowman A is taller than Snowman B when t

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?