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Alecsey [184]
3 years ago
5

Two lines having the same

-formula">-intercept are perpendicular. If the equation of one of these lines is y=\frac{-4}{5x+6}, what is the equation of the second line?
Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

Step-by-step explanation:

I suspect a typo, since \frac{-4}{5x+6} is not a straight line. Let's go with

y = -\frac{4}{5} x + 6

That means the slope is -4/5

Any line perpendicular to it will have slope 5/4

Since both lines pass through (0,6), our second line is

y=\frac{5}{4} x + 6

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A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
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Answer:

A sample size of 1380 should be obtained.

Step-by-step explanation:

Minimum sample size:

The minimum sample size is of:

n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))

In which z is the critical value, related to the confidence level, E is the desired margin of error, p_1 and p_2 are the proportions.

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

Estimates of 22.6​% male and 18.1​% female from a previous​ year

This means that p_1 = 0.226, p_2 = 0.181.

Within 3 percentage points, minimum sample size:

This is n for which E = 0.03. So

n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))

n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)

n = 1379.4

Rounding up:

A sample size of 1380 should be obtained.

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