Marta told Maribel “The sum of fifty and half the number of oranges is the same as one-hundred-twenty.” Maribel wrote 50 (one-half) + m = 120 What is her error?
It should be a subtraction not an addition.
The 50 should be multiplied by m.
The One-half should be multiplied by m.
The equation is correct.

Rewrite so the subject can be y in the formula d=m-y/y+n

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?

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.