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Ksju [112]
3 years ago
14

Dani bought a total of 8 pounds of peanuts and cashews. Peanuts, p, cost $2 per pound and cashews, c, cost $5 per pound. The tot

al amount Dani spent on the peanuts and cashews was $25. Which system of equations could be solved to find how many pounds of peanuts Dani bought?
A {2p + 5c = 25
P+c= 8

B {5p + 20 = 25
p+c= 8

C{2p + 5c = 8
p + c = 25

D{2p = 8
5c = 2 25​
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

C. {2p + 5c = 8

p + c = 25

is the system of equation

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Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

The sample selected is of size, <em>n</em> = 50.

The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:

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*Use a <em>t</em>-table.

Compute the sample mean and sample standard deviation as follows:

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Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

     =6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

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