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3 years ago

Find the exact solution of x.

Mathematics

2 answers:

Yuki888 [10]3 years ago

8 0

Answer:

x = +/- square root of 7

Step-by-step explanation:

$3x^{2} +7=28\\3x^{2} =21\\x^{2} =7\\x=\sqrt{7} and x=-\sqrt{7}$

MA_775_DIABLO [31]3 years ago

4 0

Answer:

the answer is a . hope this helps

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What is the y-intercept of the line given by the equation below <br> Y=4x-6

Irina18 [472]

Answer:

the y-intecept of the line is (0, -6)

Step-by-step explanation:

Given the linear equation in slope-intercept form: y = mx + b

where:

<em>m</em> = slope = 4

<em>b</em> = y-intercept = -6

The y-intercept is the value of <em>y</em> when <em>x</em> = 0.

Plug x = 0 into the equation to solve for the y-intercept:

y = 4x - 6

y = 4(0) - 6

y = 0 - 6

y = -6

Therefore, the y-intecept of the line is (0, -6)

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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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Answer:

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Step-by-step explanation:

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Answer:

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