A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify the expression that represents the area of the resulting rectangle

How many bananas are in a fruit bowl that has 200 total apples and bananas if there are 31 bananas for every 93 apples

How many solutions does the nonlinear system of equations graphed below have?

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?