At a comic book convention vendor 1 was selling a set of 5 comics for $38.70. Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher unit price?

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

The perimeter of a movie screen is 54 meters. the screen is 18 meters wide. how tall is it?

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?