In a gymnastics competition, and athletes final score is calculated by taking 75% of the average technical score and adding 25% off the artistic score. all scores are out of 10 and one gymnast has a 7.6 average technical score . what artist is score does the gymnast need to have a final score of at least 8.0?

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

The diagram represents the polynomial 4x2 + 23x – 72. what is the factored form of 4x2 + 23x – 72? (4x + 8)(x – 9) (4x – 8)(x + 9) (4x + 9)(x – 8) (4x – 9)(x + 8)

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?