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Dmitrij [34]
3 years ago
11

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

AC = 30

Step-by-step explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract 4x from both sides of the equation.

10=x+5

Subtract 5 from both sides of the equation.

x = 5

Then, substitute 5 for x in AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30

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Korolek [52]

Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

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The margin of error is given by:

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In this question, we have that:

\pi = 0.21

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How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when M = 0.03. So

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

0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2

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Rounding up

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8 0
2 years ago
What percent of 320 is 64
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Answer:  If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.

Step-by-step explanation: Hope it helps:)

and tryna mark a child brainlest ;)

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3 years ago
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strojnjashka [21]

Answer:

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Step-by-step explanation:

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3 years ago
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sergeinik [125]
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