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Rasek [7]
2 years ago
4

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to b

an cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

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One of the easiest question I've seen.
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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

y -----> the population of a small town

t ----> the number of years

we have a exponential function of the form

y=a(b)^{t}

where

a is the initial value

b is the base

In this problem

a=9,400\ people

b=100\%-14.3\%=85.7\%=85.7/100=0.857

substitute

y=9,400(0.857)^{t}

Remember that

The town's tax status will change once the population is below 6,000 people

so

The inequality that represent this situation is

9,400(0.857)^{t}< 6,000    

Solve for t

(0.857)^{t}< 6,000/9,400

Apply log both sides

(t)log(0.857)< log(6,000/9,400)

-0.067t< -0.1950

Multiply by -1 both sides

0.067t > 0.1950

t > 2.9\ years

so

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

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I think it is
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