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dusya [7]
3 years ago
7

Show me and example of a multi step equation and solve.

Mathematics
1 answer:
Maru [420]3 years ago
6 0
<span><span>problem<span>Solve 6x + 5 = 10 + 5x. Check your solution.</span></span><span><span> </span><span><span>This equation has x terms on both the left and the right. To solve an equation like this, you must first get the variables on the same side of the equal sign.</span> <span>You can subtract 5x on each side of the equal sign, which gives a new equation: x + 5 = 10. This is now a one-step equation!</span>  Subtract 5 from both sides.</span></span><span>Check <span><span>Check your solution by substituting 5 for <span>x </span>in the original equation.</span> This is a true statement, so the solution is correct.</span></span><span>Answerx<span> = 5</span><span> </span></span></span>
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tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

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The answer is B :)
hope this helps you out 
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