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antiseptic1488 [7]
3 years ago
5

What is the answer to 3(x+4)+2(5x+2)

Mathematics
1 answer:
nalin [4]3 years ago
4 0
<span>=<span><span><span><span><span>(3)</span><span>(x)</span></span>+<span><span>(3)</span><span>(4)</span></span></span>+<span><span>(2)</span><span>(<span>5x</span>)</span></span></span>+<span><span>(2)</span><span>(2)
</span></span></span></span><span>=<span><span><span><span>3x</span>+12</span>+<span>10x</span></span>+<span>4
</span></span></span><span>=<span><span><span><span>3x</span>+12</span>+<span>10x</span></span>+4
</span></span><span>=<span><span>(<span><span>3x</span>+<span>10x</span></span>)</span>+<span>(<span>12+4</span>)
</span></span></span><span>=<span><span>13x</span>+<span>16

Answer = </span></span></span><span>13x</span>+<span>16
(hope this helps)</span>
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Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the tr
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\mu_{\hat p}= 0.06

\sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142

And we want to find this probability:

p(\hat p

z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}

z = \frac{0.09-0.06}{0.0142}= 2.114

And we can find this probability:

P(z

And using the normal table or excel we got:

P(z

Step-by-step explanation:

For this case we have the following info given:

n = 280 represent the sample size

p =0.06 represent the true proportion

The sample proportion can be approximated with this distribution:

\hat p \sim N (p ,\sqrt{\frac{p(1-p)}{n}})

The mean is given by:

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And the deviation is given by:

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And we want to find this probability:

p(\hat p

And we can use the z score formula given by:

z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}

And replacing we got:

z = \frac{0.09-0.06}{0.0142}= 2.114

And we can find this probability:

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And using the normal table or excel we got:

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