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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The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.
<h3>What is an equivalent expression?</h3>The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² − 10x − 11 = 0
Then the equation can be written as
x² − 10x + 25 – 25 − 11 = 0
(x – 5)² = 36
Then the correct option is A.
The complete question is attached below.
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Answer:
<h2>y = 6,000x + 80,000</h2>Step-by-step explanation:
Givens
- The population increased 6000 people per year. (This is the constant ratio of change, because it offers information about the relation between variables).
- In 1980, the population was 80,000. (This is the initial condition, the population at the beginning of the period, that's why is the y-intercept of the function).
We know that the linear form has an explicit form
Where is the constant ratio of change and
is the y-intercept. Replacing given values, we have
Therefore, the right answer is B.
Answer:
Jacob's rate of return is <u>19.2%</u>.
Step-by-step explanation:
Given:
Jacob invested $500 in a stock and after a year had $596.
Now, to find the rate of return.
So, we get the amount of return first:
Present value - value before a year = Return.
$596 - $500 = $96.
Now, to get the rate:
Return / Value before a year × 100.
Therefore, Jacob's rate of return is 19.2%.