In his motorboat, bill ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 264 mi, in 6 hr. returning, he finds that the trip downstream, still at top speed, takes only 5.5 hr. find the rate of bill's boat and the speed of the current. let x = the rate of the boat in still water and y = the rate of the current.

What is the value of the expression below? 148+(-6)| + |– 35= 7|

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?

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?