A parabola can be drawn given a focus of (- 1, - 3) and a directrix of x = 7. What can be said about the parabola ?

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

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?

Atown has a population of 12000 and grows at 3.5% every year. what will be the population after 7 years, to the nearest whole number?