You roll a fair number cube twice. Find P(3, then 5)

1/36

Step-by-step explanation:

the probability of getting 3 the first time is 1/6

the probability of getting 5 the second time is 1/6

1/6•1/6=

1•1=1

6•6=36

1/36

yes

Step-by-step explanation:

With one die the P(3) = P(5) = 1 /6. For 2 dice there are 2 ways to roll a 3 and 4 ways to roll a 5. 7 ways to roll a 3 or 5 so P(3 or 5) = 6/36 or 1/6

x^2 - 9x - 18 is prime.

Step-by-step explanation:

x^2 - 9x - 18:

We might try to factor this: - we need 2 numbers whose product is -18 and whose sum is -9:

- 18 = 2 * -9

-18 = -2 * 9

-18 = -3 * 6

-18 = 3 * -6

-18 = -18 * 1

-18 = 18 * -1

None of these factors add up to -9 so the trinomial is prime.