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3 years ago

The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

-8 -8

n* -4= 12

/-4 /-4

n= -11

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What is 4.7% of 164?

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Complete the equation and tell which property you used (18x2)x5=18x(2x____)

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3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

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z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

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You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

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3 years ago

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Answer:

Step-by-step explanation:

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Express as a trinomial (3x+8) (x+10)

docker41 [41]

Answer:

$3x^{2} +38x+80$

Step-by-step explanation:

Hello!

A trinomial is a expression consisting of three different terms

To turn this into a trinomial we multiply everything to each other

3x

3x * x = $3x^{2}$

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8

8 * x = 8x

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Now we put them all together in an equation

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The answer is $3x^{2} +38x+80$

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