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katen-ka-za [31]
3 years ago
8

HURRYYYYY PLEASEEEEE Find the area of the circle. Use 3.14 for p.

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer: B

Step-by-step explanation:

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Need help pls<br>thank you in advance ​
ira [324]

Answer:

<h3><u>Mean</u></h3>

<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
2 years ago
PLZ help me fast 2 mins left
jek_recluse [69]

Answer:

\sqrt{-5}=i\sqrt{5}

\sqrt{-25}=5i

Step-by-step explanation:

i is an imaginary unit, this means

i^2=-1

Rewrite -5 as 5\cdot (-1)=5\cdot i^2,

then

\sqrt{-5}=\sqrt{5i^2}=\sqrt{5}\cdot \sqrt{i^2}=\sqrt{5}\cdot i=i\sqrt{5}

Rewrite -25 as -25=25\cdot (-1)=25\cdot i^2,

then

\sqrt{-25}=\sqrt{25\cdot i^2}=\sqrt{25}\cdot \sqrt{i^2}=5\cdot i=5i

6 0
3 years ago
Prove that <img src="https://tex.z-dn.net/?f=cos%209x-cos%205x%2Fsin17x-sin3x%3D-sin2x%2Fcos10x" id="TexFormula1" title="cos 9x-
maria [59]
Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x 
so f(x) = \frac{-2sin2x.sin7x}{2sin7x.cos10x} =\frac{-sin2x}{cos10x}

8 0
3 years ago
3.) You just deposited $3,000 into a savings account with 3% annual interest. How much will you have in total after 2 years?​
Korvikt [17]

Answer:2,820

Step-by-step explanation:

multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000

6 0
4 years ago
In the graph, rectangle BCDE is rotated to form rectangle B’C’D’E’. Use the diagram to complete the statement. Point P is called
Maksim231197 [3]

Answer: Rotation

Step-by-step explanation:

4 0
3 years ago
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