You play a game consisting of two steps. A fair 4-sided die containing the numbers 1.1.2.3 is rolled and after this is done, you flip a fair coin the same number of times as the number you just rolled. (For erample, if you roll a 3. you flip the coin 3 times.) The results of the coin flips are recorded. Let S represent the set of all possible outcomes of the coin flip(s) in this game. (a) Find the value of S], the number of possible coin-flip outcomes in this game. (b) What is the probability that precisely 2 heads are recorded? (c) What is the probability that the first flip is tails, given that you know that precisely one of the flips is heads?

Arrange these numbers from least to greatest 3/5 5/7 2/9

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Acabinmaker buys 3.5 liters of oat varnish the varnish cost $4.95 per liter what is the total cost of 3.5 liters