Describe the graph represented by the equation

a) Ellipse, horizontal directrix at a distance of 3/2 units above the pole.
b) Hyperbola, vertical directrix at a distance of 3 units to the right of the pole.
c) Hyperbola, horizontal directrix at a distance of 3/2 units above the pole.
d) Ellipse, vertical directrix at a distance of 3 units to the right of the pole.

What is the value of r of the geometric series?

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?

Tim earns $120 plus $30 for each lawn he mows. write an iniqualityvto represent how many lawns he needs to mow to make more than $310