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kaheart [24]
3 years ago
15

F(x)=5x+6 what is the domain and range

Mathematics
1 answer:
kozerog [31]3 years ago
4 0
\mathrm{Domain\:of\:}\:5x+6\:  

\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} 

\text{The function has no points nor domain constraints. So, the domain is}

\mathrm{Solution:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \: 

\mathrm{Range\:of\:}5x+6  

\begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} 

\mathrm{The\:set\:of\:values\:of\:the\:dependent\:variable = meaning} 

\mathrm{The\:range\:of\:polynomials\:with\:odd\:degree\:is\:all\:the\:real\:numbers} 

\mathrm{Solution:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty
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a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
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We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide 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 is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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Write and evaluate the expression. Then, complete the statements.

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The answer to your question is:

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