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tester [92]
3 years ago
13

A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF

raction 3 Over 4 EndFraction StartFraction 3 Over 4 EndFraction StartFraction 4 Over 3 EndFraction
Mathematics
2 answers:
Leto [7]3 years ago
8 0

Answer:

The slope would be -3/4

Step-by-step explanation:

Since, slope of a line having end points (x_1, y_1) and (x_2, y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Here, line segment MN contains end points M(1, 3) and N(5, 0)

i.e.

x_1 = 1, y_1 = 3, x_2 = 5, y_2 = 0

Thus, the slope of line MN would be,

m=\frac{0-3}{5-1}=\frac{-3}{4}

Roman55 [17]3 years ago
4 0

<h3>(x1,x2), (y1,y2)</h3><h3>(1,3), (5,0)</h3>

0-3/5-1

-3/4

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The required inverse function  f^{-1}(x) = (2x - 3 ) / 4.

Given that,
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<h3>What are functions?</h3>

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Let f(x) = y
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Now replace y = x and x = f^{-1}(x)
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2 years ago
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3 years ago
A data set includes data from student evaluations of courses. The summary statistics are n​, ​, s. Use a significance level to t
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Complete question :

A data set includes data from student evaluations of courses. The summary statistics are nequals92​, x overbarequals4.09​, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Answer:

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Step-by-step explanation:

Given :

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The Pvalue can be obtained from the test statistic, using the Pvalue calculator

Pvalue : (Z < - 2.79) = 0.0026354

Pvalue < α ; Hence, we reject the Null

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