Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome
of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4? Enter your answer, in simplest fraction form.
1 answer:
We first need a table that lists all outcomes. The table is shown below.
The outcome that is a multiple of 6 are 6 and 12 and there are six outcomes out of 36 total outcomes
The outcome that is a multiple of 4 are 4, 8, and 12 and there are nine out of 36 total outcomes
There are a total of 9+6=15 outcomes of multiple of 6 OR multiple of 4, so the probability is 15/36 which simplified to 5/9
The outcome that is a multiple of 6 are 6 and 12 and there are six outcomes out of 36 total outcomes
The outcome that is a multiple of 4 are 4, 8, and 12 and there are nine out of 36 total outcomes
There are a total of 9+6=15 outcomes of multiple of 6 OR multiple of 4, so the probability is 15/36 which simplified to 5/9
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Answer:
-25
Step-by-step explanation:
(1) y = -2x²
(2) y = 2x² + k Subtract (1) from (2)
0 = 4x² + k Subtract 4x² from each side
k = -4x²
The parabolas are <em>symmetrical about the y-axis.</em>
Segment AB = 5, so x = +2.5 and x = +2.5.
k = -4(±2.5)² = -4 × 6.25 = -25
