Mr. Wilson is on his roof installing solar panels. Each panel will generate 150 watts per hour. He has 8 panels to install. Mr. Wilson only needs 900 watts per hour to power everything in his house. How much excess power will Mr. Wilson have?

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

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?

Which of the following scenarios demonstrates an exponential decay