Answer:
x < - 7
Step-by-step explanation:
Given
3(x - 2) > 5x + 8 ← distribute parenthesis on left side
3x - 6 > 5x + 8 ( subtract 3x from both sides )
- 6 > 2x + 8 ( subtract 8 from both sides )
- 14 > 2x ( divide both sides by 2 )
- 7 > x, hence
x < - 7
Answer:
-6 ≤x
Step-by-step explanation:
3x-2≤5(x+2)
Distribute
3x-2≤5x+10
Subtract 3x
3x-2-3x≤5x +10-3x
-2 ≤2x+10
Subtract 10 from each side
-2-10 ≤2x+10-10
-12 ≤2x
Divide by 2
-12/2≤2x/2
-6 ≤x
Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
Answer:
B. 2
Step-by-step explanation:
1.87
11 x 17 / 100 = 1.87
First, find the lowest common denominator. That is 12. You only have to change 3/4 into 12ths.
3/4 = 9/12
11/12 – 9/12 = 2/12 = 1/6
