Suppose that F(x) =X^2 and G(x) =-1/4 (x+7)^2 Which statement best compares the graph of Gx) with the graph of Fx)?
A. The graph of G(X) is the graph of FX) stretched vertically, flipped
over the x-axis, and shifted 7 units to the left
B. The graph of G(x) is the graph of Fx) stretched vertically, flipped
over the x-axis, and shifted 7 units to the right.
C. The graph of G(x) is the graph of Fx) compressed vertically,
flipped over the x-axis, and shifted 7 units to the right.
D. The graph of G(x) is the graph of F(x) compressed vertically,
flipped over the x-axis, and shifted 7 units to the left.

How do your peer relationships affect your overall health status? what can you do to improve your peer relationships?

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?

Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?