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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. based on the graph, use points (0,6) and (7,-2), plug them into the formula to get
and you get B, 10.63
. based on the graph, use points (0,6) and (7,-2), plug them into the formula to get
and you get B, 10.63
Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement: .
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement: .
Reason: SSS criterion for congruence.
5.Statement:.
Reason: Given .
6.Statement: .
Reason: By definition of parallelogram.
7.Statement: .
Reason: Alternate Interior Angles Theorem.