Professor McGonagall presented the pair of equations shown below: y = 6x − 10
y = 2x − 2

Part A: Explain to Professor McGonagall how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form. (5 points)

Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.

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?