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Andreyy89
3 years ago
5

Part A: Solve P = 4a for a. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points)

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
Since we have two unknowns in both equations, the solution will still consists the known.
For the part A
P=4a,
Dividing both sides by 4,
P/4 =a
Therefore, a = P/4

Part B:
3c - 5f = 55
Add 5f on both sides of the equation,
3c-5f+5f=55+5f
3c=55+5f
Now subtract 55 on both sides
5f = 3c - 55
Divide both side of the equation by 5 to get f,
5f/5 = (3c-55)/5
f = (3/5)c - 11
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pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

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3 years ago
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Answer:

y = x + 7

Step-by-step explanation:

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Looking at the graph, we can see that the line intersects the y-axis at y = 7. So 7 would be our y-intercept.

To find the slope, we would divide the rise of the line by the run. Or m = rise/run. From looking at the graph, we can see that for every 1 unit the line moves in the x-direction, the line moves in the y-direction by 1 unit. Therefore, the rise would be 1 and the run would be 1. 1/1 = 1 so the slope of the line would be 1.

Plugging in 7 for b and 1 for m into the equation for the slope-intercept form, we get:

y = x + 7

So that would be the equation for the line in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

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3 years ago
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Answer:

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Step-by-step explanation:

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I'm not totally sure if this is what you mean or if this is.

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