On their most recent 8-mile training run, Pepe averaged a speed of I of a mile in 4.5 minutes, while Paula averaged of a mile in 7.5

minutes.

How many minutes did it take the faster runner to finish the 8 mile

run?

Atriangle includes one angle that 72º. which pair could be the measures of the other two angles of the triangle? a. 9º, 9º b. 26º, 46º c. 53º, 55º d. 72º, 108º

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?

Alistair has 5 half-pounds chocalate bars. it takes 1 1/2 pounds of chocalate,broken into chunks, to make a batch of cookies. how many batches can alistair mke with chocalate he has on his hand?