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Olegator [25]
3 years ago
5

(20) points and brianliest) Write the equation of a line which contains the point (4,3) and (2,5). Remember you must first find

the slope and then use the point slope formula for this type of problem.
Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
Slope formula
y2-y1/x2-x1
5-3/2-4
2/-2
-1 = slope

y=-1x+b
5=-1(2)+b
5=-2+b
b=7

Your answer:
y= -1x + 7
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Step-by-step explanation:

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Jlenok [28]

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Step-by-step explanation:

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3 years ago
What is the measure of X? <br> angles are not necessarily drawn to scale
Schach [20]

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

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2 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

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.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

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

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
What is the answer to this problem
Rudik [331]

You can 14 rows of 5 chairs, which also means you can do 5 rows of 14. Or 7 rows of 10 or 10 rows of seven. That's all I'm getting that doesn't exceed the 20 row limit.

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