Berniece solved the following equation: 4x − 2x + 8 = 6(x + 4) step work justification 1 2x + 8 = 6(x + 4) combine like terms 2 2x + 8 = 6x + 24 distributive property 3 −4x + 8 = 24 subtraction property of equality 4 −4x = 16 addition property of equality 5 x = −4 division property of equality which step has an incorrect justification? (make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Use set builder notation to represent the following set: { -3, -2, -1, 0}

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

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?