Why is circle 1 similar to circle 2?

circle 1: center (−1, 10) and radius 4.8

circle 2: center (−1, 10) and radius 1.2

a-circle 1 is a dilation of circle 2 with a scale factor of 4.

b-circle 1 and circle 2 have the same center.

c-circle 2 is a dilation of circle 1 with a scale factor of 3.6.

d-circle 1 is congruent to circle 2.

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?