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3 years ago

Find the equation of the line that passes through (-4,1) and is parallel to 1/2

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

Answer:

y = 1/2 x + 3

Step-by-step explanation:

Since the lines are parallel, m1 = m2

y — y1 = m(x — x1)

Data obtained from the question include:

m = 1/2

x1 = —4

y1 = 1

y — y1 = m(x — x1)

y — 1 = 1/2(x — —4)

y — 1 = 1/2(x + 4)

y —1 = 1/2x + 2

y = 1/2x + 2 + 1

y = 1/2 x + 3

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Using the z-distribution, it is found that a sample of 171 should be selected.

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The confidence interval is:

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The margin of error is:

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

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$z = 1.96, \sigma = 40, M = 6$

Hence we solve for n to find the needed sample size.

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

$6 = 1.96\frac{40}{\sqrt{n}}$

$6\sqrt{n} = 40 \times 1.96$

$\sqrt{n} = \frac{40 \times 1.96}{6}$

$(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2$

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

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Step-by-step explanation:

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3 years ago

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Dennis_Churaev [7]

Answer:

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Step-by-step explanation

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Step-by-step explanation:

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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