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3 years ago

PLEASE HELP MEEEE Describe the relationship of input and output values for composite functions.

1 answer:

4 0

A COMPOSITE FUNCTION IS A COMBINATION OF TWO FUNCTIONS SUCH THAT THE OUTPUT FROM THE FIRST FUNCTION BECOMES THE INPUT FOR THE SECOND FUNCTION.
IN A COMPOSITE FUNCTION f[g(x)], SOMETIMES WRITTEN (fog) (x), THE OUTPUT OF FUNCTION G IS THE INPUT TO FUNCTION F.

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Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

1 year ago

Is college Algebra hard ?

Degger [83]

It depends on what level of classes you take, but algebra classes in college do tend to be harder than algebra classes in high school or middle school.

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2 years ago

Solve each of the following equations.

tamaranim1 [39]

A. -13
B. -45
C. 20
D. 84
E. 4
F. -4
G. -7
H. 48

6 0

3 years ago

Read 2 more answers

Some number added to seventeen

Oksanka [162]

Answer:

x+17

Step-by-step explanation:

x + 17 is the answer

5 0

3 years ago

patriot [66]

Answer:

Step-by-step explanation:

Square root of 92 is 9.591663047

so round that to 9.59

5 0

3 years ago