Hunter and his children went into a grocery store where they sell peaches for $1.75 each and mangos for $0.50 each. Hunter has $20 to spend and must buy at least 14 peaches and mangos altogether. Also, he must buy at least 4 peaches and no less than 12 mangos. If xx represents the number of peaches purchased and yy represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer asap evaluate 4-0.25g+0.5h4−0.25g+0.5h when g=10g=10 and h=5h=5.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Aclothing designer is selecting models to walk the runway for her fashion show. the clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. which graph could be used to determine the possible variance levels that would result in an acceptable height, x?