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2 years ago

Determine the value of x in the given diagram, when a║b.

Mathematics

1 answer:

mixer [17]2 years ago

7 0

155 degrees is the answer

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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>.

5 0

1 year ago

18+3x=-10+x what is x

son4ous [18]

18+3x=-10+x
3x-x=-10-18
2x=-28
x=-14

7 0

3 years ago

Read 2 more answers

What is the sales tax on a suit priced at $784 if the sales tax is 7%?

ira [324]

Answer:

838.88

Step-by-step explanation:

4 0

2 years ago

Jimmy collects nickels and dimes. Right now, he has a total of 40 coins in his piggy bank. If there are seven times as many dime

Colt1911 [192]

Number of nickels plus number of dimes equals total number of coins
so
n + d = 40

then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n

we then plug that into our first equation
and get
n + 7n = 40

then we solve for n
add like terms
8n = 40

then divide both sides by 8
n = 40/8 = 5

therefore Jimmy has 5 nickels

4 0

3 years ago

A. IfA= {a, b} and B = {p, q, r}, find A x B and B x A using tree diagram.

Katarina [22]

Answer:

Step-by-step explanation:

8 0

3 years ago