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Nadya [2.5K]
3 years ago
5

What is a dilation and translation

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0
Dial action is making a shape a smaller size but the same shape.
Translation is when you move a shape along the x or y axis’s or both axis’s.
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A scientist claims that 4% of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of
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Answer:

The probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

Step-by-step explanation:

We are given that

\mu_{\hat{p}}=p=4%=0.04

n=662

We have to find the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%.

q=1-p=1-0.04=0.96

\sigma_{\hat{p}}=\sqrt{p(1-p)/n}

\sigma_{\hat{p}}=\sqrt{\frac{0.04(1-0.04)}{662}}

\sigma_{\hat{p}}=0.0076

Now,

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=1-P(\frac{\hat{p}-\mu_{\hat{p}}}{\sigma_{\hat{p}}}

=1-P(Z

=1-0.99573

P(\hat{p}>0.06)=0.00427

Hence, the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

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