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slavikrds [6]
2 years ago
11

Find the value of n so that the line perpendicular to y = (-1/3)X-4 passes through the points (n. 6) and (4,15).

Mathematics
1 answer:
iogann1982 [59]2 years ago
7 0

Answer:

1

Step-by-step explanation:

The slope of the perpendicular is the negative inverse of the slope of the line.

m = -1 / (-⅓)

m = 3

The slope between the two points is 3, so:

3 = (15 − 6) / (4 − n)

3 (4 − n) = 9

4 − n = 3

n = 1

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inessss [21]
<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

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<h2>Why?</h2>

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We are given the piecewise function:

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We should use the first expression if the value to evaluate is less than -2.

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3 years ago
QUIZ<br> Find the volume of the square pyramid.<br> 9 cm<br> 4 cm
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Answer:

SEE BELOW

Step-by-step explanation:

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2 years ago
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Answer:

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The p value for this case would be given by:

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For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

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Answer:

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