Find the area of the shape shown below. \text{ units}^2 units 2 start text, space, u, n, i, t, s, end text, squared

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

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?