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AysviL [449]
3 years ago
5

George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey

of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?
A) No, George should only survey families that support his view.
B) No, George should attach information about why the fee should be voluntary.
C) Yes, since George is trying to convince the board to change the requirement he needs results to support his opinion.
D) Yes, since George is surveying all of the families in his neighborhood he is getting the opinions of the entire population.
Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0

Answer:

I would pick the letter C

Step-by-step explanation:


trasher [3.6K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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How do the values in Pascal’s triangle connect to the coefficients?
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Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

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Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

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__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

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