At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount of leftover cake. How much cake did each employee take home?

X2 + y 2 = 36 x + y = 6 solve the system of equations.

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers

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?