I need help 2(x + 1) = 2x + 2.

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

$2(x + 1) = 2x + 2\\
2x+2=2x+2\\
0=0\\
x\in\mathbb{R}$

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Which expression should you simplify to find the 90% confidence interval,

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Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

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Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ .

And the critical value is: $z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

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