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Marianna [84]
3 years ago
5

Thanh purchased crawfish and shrimp at a local seafood market to use at her restaurant. At the market, crawfish cost $3 per poun

d and shrimp cost $5 per pound. Thanh spent $200 total on 52 pounds of seafood. The system of linear equations shown can be used to represent this situation. In the system of linear equations, c represents the pounds of crawfish purchased and s represents the pounds of shrimp purchased.
{c+s=523c+5s=200

How many total pounds of shrimp did Thanh purchase?

Enter your answer in the box.
Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer:

22 pounds

Step-by-step explanation:

c+s=52, c = 52-s

3c+5s=200

3(52-s) +5s = 200

156 - 3s +5s = 200

5s-3s = 200-156

2s = 44

Shrimp = 44/2 = 22 pounds

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The average annual premium for automobile insurance in the United States is $1411. A representative sample of annual premiums fo
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Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: \overline{x} \pm T\frac{s}{n}

c) If $1411 is between the bounds of the interval yes, otherwise no.

--------------

  • At item a, it asks to provide a point estimate for the population mean, which is the sample mean \overline{x}

--------------

Item b:

  • In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
  • The confidence interval will be given by:

\overline{x} \pm T\frac{s}{n}

In which:

  • \overline{x} is the sample mean.
  • T is the critical value, from the t-distribution, with a two-tailed area of \frac{1 - 0.95}{2} = 0.025 and n-1 degrees of freedom.
  • s is the standard deviation for the sample.
  • n is the sample size.

--------------

Item c:

We have to check if 1411 is between \overline{x} - T\frac{s}{n} and \overline{x} +T\frac{s}{n}.

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A similar problem is given at brainly.com/question/24232455

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