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Leya [2.2K]
3 years ago
10

What is 5(2x+8)-5x=5(5x+6?

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

5(2x+8)-5x=5(5x+6)

Distribute

10x+40-5x=25x+30

combine like terms

5x+40=25x+30

-5x       -5x

subtract 5x from both sides

40=20x+30

-30      -30

subtract 30 from both sides

10=20x

÷20   ÷20

divide both sides by 20

1/2=x is your final answer


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A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation
pantera1 [17]

Solution :

                    <u>Sample size</u>      <u> Sample mean</u>            <u> Sample S.D.</u>

Sample 1        $n_1=36$              $\bar{x}_1=150,000$               $s_1=17,000$

Sample 2       $n_2=45$              $\bar{x}_2=100,000$               $s_2=12,000$

$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, $t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

                                          = 559.9896

Lower limit, $(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$

Upper limit,  $(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$

Therefore 90% C.I. is (44402.0104, 55597.9896)   or $44402.0104 < \mu_1 - \mu_2 < 55597.9896$

5 0
3 years ago
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Answer:

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Slope: \frac{12}{10}

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