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2 years ago

Please help with this question

Mathematics

1 answer:

SVEN [57.7K]2 years ago

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D
That’s the answer
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A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio

soldi70 [24.7K]

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}$

Here

$\hat{p}$ is the sample measure which is 8% or 0.08
p is the population measure which is 6% or 0.06
n is the number of samples which is 529

So the Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955$

For this the score, the value of probability is calculated from the table as below:

$P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z$

Here value of p(Z<-1.6955) is given as 0.0455

$P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545$

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3 years ago

Solve the combined inequality

natta225 [31]

Answer:

6.72<x<10.08

Step-by-step explanation:

multiply 1.12 and 6 for the low end

multiply 1.12 and 9 for the high end

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3 years ago

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Karen's city took a survey about a plan for a new park. Of the people surveyed, 380 liked the plan for the park and 120 did not.

Law Incorporation [45]

Answer:

Step-by-step explanation:

Survey response

Those who liked the proposed plan=380 persons

Those who didn't like the proposed plan=120 persons

We assume that the these are the only people who participated, with those who never took sides being zero

Total number of people surveyed=380 persons+120 persons=500 persons

Percentage of those who liked = $\frac {380}{500}*100%=76%$

Therefore, the percentage that liked the plan is 76%

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3 years ago

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each

erastova [34]

Then answer would be 300÷127=Z

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What is the answer to <br> -x/4-2=x+3

lyudmila [28]

Answer:

-4

Step-by-step explanation:

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2 years ago