Question 5(Multiple Choice Worth 2 points) (02.05)

Determine the vertex of the function f(x) = −4(x − 3)2 + 6.

(6, −3)
(6, 3)
(3, 6)
(−3, 6)

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

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?