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3 years ago

Which expression is not equivalent to the other three? 2x 2 2x 3x – 8 4 7x – 2 –2 5x 2x – 4 8x – x – 6.

Mathematics

1 answer:

erik [133]3 years ago

7 0

The expression is not equivalent to $\rm 28x-16$ .

<h2>Polynomial</h2>

An expression of more than two algebraic terms, basically sums of terms and variables of power n.

<h2>Given</h2>

$2x+2 ,\ 2x,\ 3x-8, 4,\ 7x-2,\ -2,\ 5x,\ 2x-4,\ 8x,\ -x-6$

<h2>Step by step explanation</h2>

$\rm Equivalent\ expression = add\ all\ the\ given\ terms.\\
Equivalent\ expression = 2x+2+2x+3x-8+4+7x-2-2+5x+2x-4+8x-x-6\\
Equivalent\ expression = 2x+2x+3x+7x+5x+2x+8x-x+2-8+4-2-2-4-6\\
Equivalent\ expression = 28x-16\\
$

Then the expression is not equivalent to $\rm 28x-16$ .

Thus, the expression is not equivalent to $\rm 28x-16$ .

More about the polynomial link is given below.

brainly.com/question/17822016

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Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

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