Can someone tell me the answer for this please

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Exterior angle equals sum of interior opposite angles
10x = 7x + 30
3x = 30
x = 10 so the exterior angle = 10 x 10 = 100 degrees

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Need help pls<br>thank you in advance

ira [324]

Answer:

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

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

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

<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>.

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Select the correct answer from each drop-down menu. Gino is buying wood screws at the corner hardware store. The table shows dif

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Without the table I will guess 5 is common to all 3 they are proportional

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A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be

kolezko [41]

No it is not base e. It is 1.015.

An increase of 1.5 % = 1.015

Year     1,   2,   3,.........................., 30.
   30000, 3000(1.015), 30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn = a(r^n - 1) / (r - 1); a = 30000, r = 1.015, n = 30

Sn = 30000 ( 1.015^30 - 1) / (1.015 - 1)

      = 30000 (1.56308022 - 1) / (0.015) = 1126160.44

Total = $ 1 126 160.44

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Andru [333]

5 hope this helps good luck!!

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3 years ago

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$