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LenKa [72]
3 years ago
15

Factor out the GCF: 16x + 48​

Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer: 16(x + 3)

Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor of 16x and 48?

The greatest common factor of 16x and 48 is 16 because

it's the largest number that divides evenly into 16 and 48.

The x does not qualify because it must appear in every term

to qualify for the GCF but here, it only appears in one term.

So a 16 factors out leaving us with each term divided by it

inside a set of parentheses so w eget 16(x + 3).

Notice that if we distributed the 16 through both terms,

we would end up with our original polynomial.

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What are eight equivalent expressions to 24x - 12?
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An economist wants to estimate the mean income for the first year of work for college graduates who have had the profound wisdom
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Answer:

We need at least 601 incomes.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many such incomes must be found if we want to be 95% confident that the sample mean is within $500 of the true population mean?

We have to find n, for which M = 500, \sigma = 6250. So

M = z*\frac{\sigma}{\sqrt{n}}

500 = 1.96*\frac{6250}{\sqrt{n}}

500\sqrt{n} = 1.96*6250

\sqrt{n} = \frac{1.96*6250}{500}

(\sqrt{n})^{2} = (\frac{1.96*6250}{500})^{2}

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Multiply and divide

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