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2 years ago

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2(5×+3)=4×+18

3) = 4x + 18" alt="2(5x + 3) = 4x + 18" align="absmiddle" class="latex-formula">

1 answer:

Mamont248 [21]2 years ago

8 0

Answer:

The value of x = 2

Step-by-step explanation:

Given algebraic expression as :

$2\times (5x + 3)= 4x + 18$

Or, 10x + 6 = 4x + 18

Or, 10x - 4x = 18 - 6

Or, 6x = 12

Or, x = $\frac{12}{6}$

∴ x = 2

Hence The value of x is 2 Answer

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

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Answer:

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Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

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2 years ago