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hram777 [196]
3 years ago
6

Linear equations substitution

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
For example, y=x+4 and y=5x+2.
That would mean that x+4=y=5x+2.
Simplify it to x+4=5x+2.
x=5x-2
-4x=-2
x=1/2.
Now, plug x into one of the equations.
y=x+4
y=1/2+4
y=9/2.
Therefore, the POI is (1/2,9/2).
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Answer:

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Step-by-step explanation:

I would assume you are wanting these in decimal form. In that case, you would have:

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The dataset Restaurant Tips contains data recorded from 157 restaurant bills at a bistro in New York over a two week period and
xz_007 [3.2K]

Answer: ($3.532, $4.166)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.90=0.10

Critical value : z_{\alpha/2}=1.645

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Sample mean : \overline{x}=\$\ 3.849

Standard deviation : \sigma= \$\ 2.421

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)

Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)

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Step-by-step explanation:

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