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alexandr402 [8]
3 years ago
15

Solve for w: w+6tw=11-w

Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0
<span>w+6tw=11-w
</span>
<span>Let's solve for w.
</span><span><span>
w+<span><span>6t</span>w</span></span>=<span>11−w

</span></span>
Step 1: Add w to both sides.<span><span><span><span><span>
6t</span>w</span>+w</span>+w</span>=<span><span><span>−w</span>+11</span>+w</span></span><span><span><span><span>
6t</span>w</span>+<span>2w</span></span>=11</span><span>
Step 2: Factor out variable w.
</span><span><span>
w<span>(<span><span>6t</span>+2</span>)</span></span>=11</span><span>
Step 3: Divide both sides by 6t+2.
</span><span><span>
w<span>(<span><span>6t</span>+2</span>)</span></span><span><span>/6t</span>+2</span></span>=<span>11/<span><span>6t</span>+2</span></span>

Answer: 11/6t+2



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Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

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\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

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First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

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And we want to find this probability:

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On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

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