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3 years ago

(1,4) ,(0,0) what is the linear equation. and slope?

1 answer:

7 0

Slope =change of y / change of x = (0-4)/(0-1) = -4/ -1 = 4
Equation of a line : y=mx+b where m is the slope, 4 and b is the y intercept, 0 (from the second point given.
Y=4x

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Simplify *show work!!* <br> (X^6)^1/2

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Answer:

$x^{3}$

Step-by-step explanation:

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2 years ago

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3 years ago

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17 = a - 3 - За<br> Answer pleassse

Shkiper50 [21]

Answer:

-10 = a

Step-by-step explanation:

17 = a - 3 - За

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3 years ago

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Find the sample standard deviation:

zlopas [31]

Answer:

Step-by-step explanation:

Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.

mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10

mean = 97/10

mean = 9.7

Standard deviation for ungrouped data is expressed using the formula;

$S = \sqrt{ \dfrac{\sum(x-\overline x)^2}{n-1} }$

$\overline x \ is\ the \ mean\\n \ is \ sample \ size$

$S = \sqrt{\frac{(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2}{10-1} }\\ S = \sqrt{\frac{(-7.7)^2+(-3.7)^2+(5.3)^2+(-0.7)^2+(1.3)^2+(12.3)^2+(-8.7)^2+(-5.7)^2+(-1.7)^2+(9.3)^2}{10-1} }\\\\S = \sqrt{\dfrac{59.29+13.69+28.09+0.49+1.69+151.29+75.69+32.49+2.89+86.49}{10-1} }\\\\\\S = \sqrt{\dfrac{452.1}{9} }\\\\S = \sqrt{50.23}\\ \\S = 7.08\\\\S \approx 7.1$

<em>Hence the standard deviation of the sample data is 7.1</em>

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