Mathematics: F(x)=x+7 if you know the domain is {-9,-3} then the range must be?

F(x)=x+7 if you know the domain is {-9,-3} then

Ответ:

satwikap3304

12.03.2022

Domain is the set of x-values and range is the set of images f(x).

x           F(x) = x + 7

-9         -9 + 7 = -2

-8         -8 + 7 = -1

-7          -7 + 7 = 0

-6           -6 + 7 = 1

-5           -5 + 7 = 2

-4           -4 + 7 = 3

-3           -3 + 7 = 4

So the range is {-2,4} < answer

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Ответ:

vgann3020

10.02.2020

Mathematics

The sample size should be 250.

Our margin of error is 4%, or 0.04. We use the formula

$\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

$0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}$

Divide both sides by 2.33:
$\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}$

Square both sides:
$(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}$

Multiply both sides by n:
$(\frac{0.04}{2.33})^2n=0.08(0.92)$

Divide both sides to isolate n:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

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F(x)=x+7 if you know the domain is {-9,-3} then the range must be?

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