At a café, a cup of coffee costs $2.82. To use exact change, you must hold the number 2.82 in your head while sorting through your wallet and calculating what coins you have. To be successful in actively processing this information, you must keep the information maintained in short-term storage by using your memory.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

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?

If each bricks costs and he can only buy one brick how much will it cost him to get the material to put around the outside of his garden?