I need help with 5 multiple choice questions:

1.Consider two functions:g(x)=1 andthe quadratic functionf(x) that opens down with vertex at the origin and passing through the point(1,1). Which statements are true?

SelectEACHcorrect answer.

a.f(x) is less thang(x) on the interval(1,1)

b.f(1)is equal tog(1)

c. g(x)has a greatery-intercept thanf(x) does.

d. f(1) is equal tog(1)

2.A number cube is rolled 3 times. What is the number of possible outcomes?

a. 6 b. 12 c. 36 d. 216

3.There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10. How many outcomes show a number divisible by 2 on the first spinner and a number divisible by 5 on the second spinner?

a.5 b. 7 c. 10 d. 20

4.Select Not independent or Independent for each situation.

A jar contains 40 coins. Two coins are picked randomly without replacement.

a. not independent

b. independent

A coin is flipped 3 times.

a. not independent

b. independent

A bag contains 6 purple balls and 5 orange balls. A purple ball is chosen followed by a orange ball without replacement.

a. not independent

b. independent

A spinner contains four equal sectors labeled A, B, C, and D. The spinner is spun twice.

a. not independent

b. independent

5.A deck of cards contains 10 black cards and 10 red cards. The first card drawn is not replaced before drawing the second card. What is the probability of selecting a red card followed by a red card?

a. 5/19 b. 1/4 c. 9/38 d. 10/19