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iren2701 [21]
2 years ago
5

If you are givent two points on a line, (5,6) and (-5, -4), what is the slope of the line!

Mathematics
1 answer:
alexira [117]2 years ago
3 0

Answer:

m = -1

Step-by-step explanation:

Formula we'll use: \frac{y2}{x2} -\frac{y1}{x1} =m

m = slope.

y2 = -4

x2 = -5

y1 = 6

x1 = 5

<u>Substitute -4, -5, 6, 5 into the formula:</u>

<u />\frac{-4}{-5} -\frac{6}{5} =

<u>Subtract both top and bottom:</u>

m = -10/-10

m = -1

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5 0
3 years ago
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

H_0: p \leq 0.4

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
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Step-by-step explanation:

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