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valkas [14]
3 years ago
7

Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day.

Small Medium Large Cappuccino 70 55 62 Mocha 42 34 39 Latte 59 63 47 For a particular serving size, all three coffee drinks cost the same. A small serving costs $1.50, a medium serving costs $2.00, and a large serving costs $2.50. Which matrix gives the revenue generated from sales of each of the three beverages?
Mathematics
1 answer:
netineya [11]3 years ago
6 0

Answer:

C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right]

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zheka24 [161]

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a. n= 47

b. n= 128

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Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= t_{n-1: 1-\alpha/2} * (\frac{S}{\sqrt{n} })

I've  cleared the sample size of the formula

n= (S*\frac{t_{n-1; 1-\alpha /2} }{d} )^{2}

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.

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d= 8 pounds

t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.025}  = t_{4;0.975} =2.776

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n= 46.35 ≅ 47

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d= 5 pounds

t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.005}  = t_{4;0.995} =4.604

n= (19.62*\frac{4.604}{8} )^{2}

n= 127.49 ≅ 128

I hope it helps!

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