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3 years ago

Suppose that F and G are figures that do not overlap how is the area of their union related to the sum of their areas

Mathematics

1 answer:

AleksAgata [21]3 years ago

8 0

Answer:

not the same

Step-by-step explanation:

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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

Of the 125 guests invited to a wedding, 100 attended the wedding. What percent of the invited guests attended the wedding?

RSB [31]

100/125 * 100 = 80 % (80 percent)

6 0

3 years ago

Select the correct answer.

Alina [70]

Answer:

Incisive

Step-by-step explanation:

4 0

3 years ago

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A triangle has a height that is 4 /3 the length of its base. If the length of its base is 24 cm, what is its area?

ASHA 777 [7]

Triangle Area = ½ * height * base

base = 24 therefore
height = (4/3) * base = (4/3) * base = 32 cm

Triangle Area = ½ * 32 * 24
= 384 cubic centimeters

6 0

3 years ago

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What is the prime factorization of 80? A.2×2×2×5 B.2×2×3×5 C.2×2×2×3×5 D.2×2×2×2×5

Nonamiya [84]

The answer would be (d.) , it can also be put as 2^4*5

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3 years ago

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