You set up a hot chocolate stand, your supplies is 75$ you charge 0.50 for each cup part a- write a function that represents the profit for selling cups of hot chocolate

part b- you will break even when the cost of your supplies equals your income how many cups of hot chocolate must you sell to break even.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

The mean finish time was 185.52 with a standard deviation of 0.327 minute. the winning car driven by chris finished in 185.13. the previous year race had a mean finish time of 110.3 with a standard deviation of 0.106. the winning car that year driven by karen finished in 110.13 minutes. find their respective z-scores. chris - z-score karen “- z-score