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3 years ago

Expand the expression 3.5(-3n + 4)

Mathematics

2 answers:

slega [8]3 years ago

6 0

Answer:

$-10.5n+14.$

Step-by-step explanation:

<u>DISTRIBUTIVE PROPERTY: WHEN YOU MULTIPLY A NUMBER OUTSIDE OF THE PARENTHESIS BY THE NUMBERS ON THE INSIDE.</u>

This expression requires distributive property.

<u>SOLVE:</u>

$3.5 (-3n + 4)$

$3.5*-3n=-10.5n$

$3.5*4=14.$

$3.5(-3n + 4)=-10.5n+14.$

lakkis [162]3 years ago

3 0

Answer:

Step-by-step explanation:

3.5(-3n+4)

=3.5*-3n+3.5*4

=-10.5n+14

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Answer:

<u />

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

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

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

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

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

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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>.

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