3 years ago

5(x + 2) = 3(x + 8)

Mathematics

2 answers:

Nady [450]3 years ago

7 0

If your looking for X, it would be X = 7

netineya [11]3 years ago

4 0

Answer:

5(x+2)=3(x+8)

5x+10=3x+24

2x=14

x=7

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Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho

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Given : Sample size : n= 320

The sample proportion of people who rent their home : $p=\dfrac{176}{320}=0.55$

Significance level : $\alpha:1-0.98=0.02$

Then , Critical value : $z_{\alpha/2}=2.33$

The formula to find the margin of error : -

$E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065$

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

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