Pls answer asap first one to do so gets brainliest carmen mixes 3 1/2 cups of water with 3 3/8 cups of juice to make punch. she pours 2/3- cup servings of punch. how many full servings can she pour? show your work.

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?

What is the value for this expression? 2e-5

What rule describes a dilation with a scale factor of 4 and the center of dilation at the origin?