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3 years ago

13

How do you know if two polygons are similar?

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional: In the figure above the ratio or the scale factor of the quadrilateral to the left versus the quadrilateral to the right is ½. ( or the easy way same shape, same side)

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Step-by-step explanation:

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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