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natta225 [31]
3 years ago
5

When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti

ons of the cheeses that she uses, but the number of ounces of ricotta cheese, r, is always more than 3 times the number of ounces of mozzarella cheese, m. For one batch of ravioli that Margo makes, she spends less than $8 on the cheeses. The ricotta cheese costs $0.24 per ounce, and the mozzarella cheese costs $0.15 per ounce. For which of the following systems of inequalities do the positive solutions represent all possible combinations of numbers of ounces of ricotta and mozzarella cheeses that Margo could have used?
Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

what is cheese ravioli tell Martha to go to the grocery store and get some chef Boyardee ravioli

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This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show
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Nadusha1986 [10]

Answer:

n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92

So the answer for this case would be n=92 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got z_{\alpha/2}=1.75, replacing into formula (b) we got:

n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92

So the answer for this case would be n=92 rounded up to the nearest integer

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3 years ago
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