A square is inscribed in a circle such that each corner touches the circle. Find a function that gives the area of the square as a function of the radius of the circle.

The system of equations graphed below has how many solutions? y = 2x + 2

Determine which expressions represent real numbers and which expressions represent complex number. asaaap! plis!

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?