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Nikitich [7]
2 years ago
13

PLZ HELPPP

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

5 dollars more

Step-by-step explanation:

Right now, Jake is using a material that gives him 27 dollars of profit per deck.  If he switches to a new material, the profit that he gets is expressed by the function y = 32x. To make this a bit easier to understand, let's switch out y and x for some easier words.

profit = (number sold)*32

This function shows that for each deck with the new material, Jake will get 32 dollars profit. Since the question asks for how many more dollars, we can get the answer by

32 - 27 = 5.

If you still don't understand it, you can think of his old material in a function too:

y = 27x or profit = (number sold) * 27.

Comparing that one with the one above with the new material, we can tell that 32 represents the profit per deck.

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n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

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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)  

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

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

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