1. A set of steps leads down into a swimming pool. Some of the steps are above the water level and some of the steps are below the water level. The top of one of the steps is even with the water level of the pool. Each step is 8 inches tall. Positions below the water level are represented as negative values and positions above the water level are represented as positive values. Madison's feet are on the step that is even with the water level of the pool. Madison steps 1 step down. (a) What numeric value represents the position of Madison's feet now? (b) What is the additive inverse of "Madison steps 1 step down?" Describe the additive inverse in terms of the situation. Explain how you know this is the additive inverse.

A(t)=728(1+0.04)^t how much money did aditya originally invest

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?

Sate why the measure of angle d is 120 degrees