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2 years ago

I need help with this question

Mathematics

1 answer:

goldenfox [79]2 years ago

7 0

Step-by-step explanation:

what you need to do is find the x values for which f(x) is the same as g(x).

you only need to compare the result values in the table.

what functional result values are the same (in the same line) ?

well, -3 and 0.

-3 is the result when x = 0.

and 0 is the result when x = 2.

so, x = 0 and x = 2 are the two correct answers.

for these 2 x values both functions deliver the same results.

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For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co

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Answer:

(a) Margin of error ( E) = $2,000 , n = 54

(b) Margin of error ( E) = $1,000 , n = 216

(c) Margin of error ( E) = $500 , n= 864

Step-by-step explanation:

Given -

Standard deviation $\sigma$ = $7,500

$\alpha$ = 1 - confidence interval = 1 - .95 = .05

$Z_{\frac{\alpha}{2}}$ = $Z_{\frac{.05}{2}}$ = 1.96

let sample size is n

(a) Margin of error ( E) = $2,000

Margin of error ( E) = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

E = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}$

n = 54.0225

n = 54 ( approximately)

(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

n = 864

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Answer:

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And the best option would be:

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Step-by-step explanation:

For this case we have the following number given:

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And if we count the number of zeros before the number 7, we can rewrite the number like this:

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We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

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2 years ago