Angel and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.25 each. angel has $15 to spend and must buy no less than 12 peaches and mangos altogether. if angel decided to buy 6 mangos, determine all possible values for the number of peaches that he could buy. your answer should be a comma separated list of values. if there are no possible solutions, submit an empty answer.

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?

Which statement is true about the extreme value of the given quadratic equation? a. the equation has a maximum value with a y-coordinate of -21. b. the equation has a maximum value with a y-coordinate of -27. c. the equation has a minimum value with a y-coordinate of -21. d. the equation has a minimum value with a y-coordinate of -27.

You make a necklace using blue, purple, and green beads in a ration of 1: 1: 2. you use the total of 168 beads. how many green beads in the necklace?