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34kurt
3 years ago
15

Given f(x) = 70 + 11x, find x when f(x) =158

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

\huge  \boxed{x = 8}

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88

Divide both sides by 11

\frac{11x}{11}  =  \frac{88}{11}  \\

We have the final answer as

<h3>x = 8</h3>

Hope this helps you

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How would I get a answer?
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For the data set 6,5,10,11,13, the mean, x, is 9. What is the standard deviation?
Ratling [72]

Answer:

3.39

Step-by-step explanation:     

We will use SD formula to find our answer.

\sigma=\sqrt{ \frac{\sum (x-\overline{x})^{2}}{N-1} }

\sigma= Standard deviation.

\overline{x}= Mean.

N= Numbers of data-points.

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Now let us substitute our given values in above formula.

\sigma=\sqrt{ \frac{(6-9)^{2}+(5-9)^{2}+(10-9)^{2}+(11-9)^{2}+(13-9)^{2}}{5-1} }

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Upon adding the square of distances we will get,  

\sigma=\sqrt{ \frac{9+16+1+4+16}{4} }

\sigma=\sqrt{ \frac{46}{4} }

Upon dividing 46 by 4 we will get,

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Upon taking square root of 11.5 we will get,

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Therefore, the standard deviation for our given data set will be 3.39.  

3 0
3 years ago
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4 years ago
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Answer:

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Cross-multiplying this gives; \frac{8}{1} × 12 = 96 inches

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3 years ago
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