1. Suppose Brett and Samantha each throw a baseball into the air. The height of Brett's baseball can be represented by the following equivalent equations, where h(t) is height in feet and tis time in seconds: h(t) = -16(t+ 0.1)(t-5) h(t) = - 16t2 + 78.4t+8 h(t) = -16(t-2.45)2 + 104.04 The height of Samantha's baseball is given by the graph below: |(2,64) 65 GO height (in feet) 55 45 25 10 time (in seconds) a. The two kids were interested in comparing their throws. Begin by analyzing the flight of Brett's baseball. What is the baseball's height after 3 seconds? Does it matter which of the three equations you use?

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

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?

How many heads would you expect if you flipped a coin twice? first, fill in the table below with the correct probabilities. hint: the sample space for flipping a coin twice is {hh, ht, th, tt}. a = b = c = f