Use the functions h(x) = 2x + 5 and t(x) = 7x − 6 to complete the function operations listed below.

part a: find (h + t)(x). show your work. (3 points)

part b: find (h ⋅ t)(x). show your work. (3 points)

part c: find h[t(x)]. show your work. (4 points)

Acircle has a circumference of 28.36 units what is the diameter of the circle

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?

Eric drove 275 miles in 5 hours. at the same rate how long would it take him to drive 495 miles?