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3 years ago

Find the value of x. 105 67

Mathematics

1 answer:

kodGreya [7K]3 years ago

6 0

Answer:

Step-by-step explanation:

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4 years ago

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4 years ago

Which statement is true ? <br> I will give brainliest to the person who answers correctly.

Alja [10]

Answer: A
Explanation: Area of a rectangle = length * width= 2 * 5n = 10n. So Jenny was correct and Alan was wrong (because the length of the rectangle is not 2n; it is just 2)

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3 years ago

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>.

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2 years ago

Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi

torisob [31]

Andrew can reach a maximum of $24.6ft$ high up the wall.

The right-angled triangle formed can be solved using the $sine$ ratio. that is

$sin(72^\circ})=\dfrac{h}{20}$

where $h$ is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for $h$ , we get

$0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft$

Since Andrew can reach an extra $5ft$ above the point where the ladder rests against the wall, the maximum height Andrew can paint is

$(19.632+5)ft=24.632ft\\\\\approx24.6ft$

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0

3 years ago