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FromTheMoon [43]
2 years ago
10

Slope -1/4, passes through (12,-4)​

Mathematics
1 answer:
Kazeer [188]2 years ago
7 0

Answer:

y = - \frac{1}{4} x - 1

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{4} , then

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute (12, - 4) into the partial equation

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - \frac{1}{4} x - 1 ← equation of line

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The measure of AngleRST can be represented by the expression (6x + 12)°. Three lines extend from point S. The space between line
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Answer:The measure of angle RST is 120\°

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see the attached figure to better understand the problem

we know that

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2 years ago
Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
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<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

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H_0: p=0.39\\\\H_a :p\neq0.39

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Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

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Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

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Step-by-step explanation:

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Step-by-step explanation:

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