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VMariaS [17]
3 years ago
13

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0
X = -4
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5  = 4
4 should be your answer
hope this helpsClick to let others know, how helpful is it

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Step-by-step explanation:

The confidence interval for population proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

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Critical value : z_{\alpha/2}}=\pm1.96

Margin of error : E=0.03

Formula to calculate the sample size needed for interval estimate of population proportion :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

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Hence, the required sample size would be 1067 .

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The image of the right rectangular prism is missing, so i have attached it.

Answer:

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Step-by-step explanation:

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Formula for volume of one cube is;

V = a³

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