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3 years ago

10 points. Plz help. What is the equation for the line that passes through (5, -3) and (2, 3) on a graph

1 answer:

4 0

Slope formula = y2 - y1/ x2 - x1
SF = 3 - (-3)/ 2 - 5
SF = 6/ -3
Slope = -2

Now we need to find b (the y-intercept)
y = mx + b
y = -2x + b
3 = -2(2) + b
3 = -4 + b
+4 +4
7 = b

The equation of the line should be:
y = -2x + 7

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4 years ago

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Hatshy [7]

Answer: 0.022

Step-by-step explanation:

Let p be the population proportion of horses were fed mostly alfalfa.

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$H_0: p=0.67\\ H_a:p>0.67$ , since alternative hypothesis ( $H_a$ ) is right tailed , so the test is a right-tailed test.

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Sample size= 62

Sample proportion= $\hat{p}=\dfrac{49}{62}\approx0.79$

Test statistic for population proportion:-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all values ,

$z=\dfrac{0.79-0.67}{\sqrt{\dfrac{0.67(1-0.67)}{62}}}\\\\=\dfrac{0.12}{\sqrt{0.00356612903226}}\\\\=\dfrac{0.12}{0.059717}\\\\=2.00947551836\approx2.01$

P-value for right tailed test :

P(z>2.01)=1-P(z<2.01) [∵P(Z>z=1-P(Z<z))]

=1-0.9777844 [By using z-value table]

=0.0222156≈0.022

Hence, the P-value for this test is <u>0.022</u> .

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3 years ago