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2 years ago

One number is eight more than twice another. if their difference is 25, what is the larger number? 17 42 35

1 answer:

6 0

X = 2y + 8
x - y = 25

2y + 8 - y = 25
y = 25 - 8
y = 17

x = 2y + 8
x = 2(17) + 8
x = 34 + 8
x = 42

the larger number (x) = 42...and the smaller number (y) = 17

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Step-by-step explanation:

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2 years ago

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Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

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This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

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Answer:

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