natalie is a real estate agent and earns 3% commission on all homes she sells. She estimates that she will earn $8250 on the next house she sells. She actually earns $9210. What was Natalie’s estimate for the selling price of home? What was the actual selling price of the home?

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

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?