Divide (-7x+x^2+15)/(-3+x) please this is the last question on the test!

Which of the following could be the probability distribution for a loaded number cube?

Ierofanga [76]

<h3>Answer: Choice B</h3>

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Explanation:

The requirements for a probability distribution are this

The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say $0 \le p \le 1$ where p is an individual probability.
The probabilities must sum to 1.

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

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3 years ago

18) The ratio of the number of boys to the number of girls in the class is 1:6. Which statement must describe the class? A) Ther

Firdavs [7]

Answer:

B. There is one boy for every 6 girls in class.

Step-by-step explanation:

When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".

That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."

In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.

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