This figure is made up of a triangle and a semicircle. What is the area of the figure?

Use 3.14 for π .

Enter your answer, as a decimal, in the box.

units²
A composite figure made up of a triangle with vertices at negative 1 comma 1, 4 comma 5, and 7 comma 1 and a semicircle below the triangle such that the diameter extends from negative 1 comma 1 to 7 comma 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?