The end result will not be the same as the beginning number because of the change in amounts in-between. Here's an example similar but easier
I have two dollars
I get half of it more
I now have three dollars
I give half of that away
Now I have a dollar and a half
It all depends on that the course if of the numbers
Answer:
(a) σ² = 144
(b) s² = 12
Step-by-step explanation:
(a) Population variance σ² = ∑(X -
)² / N
The arithmetic mean ![\overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}](https://tex.z-dn.net/?f=%5Coverline%7BX%7D%20%3D%20%5Cfrac%7B8%20%2B%2017%20%2B%2029%20%2B%2035%20%2B%2041%7D%7B5%7D)
![\overline{X} = \frac{130}{5}](https://tex.z-dn.net/?f=%5Coverline%7BX%7D%20%3D%20%5Cfrac%7B130%7D%7B5%7D)
![\overline{X} = 26](https://tex.z-dn.net/?f=%5Coverline%7BX%7D%20%3D%2026)
σ² = ![\frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B%288%20-%2026%29%5E%7B2%7D%20%2B%20%2817%20-%2026%29%5E%7B2%7D%20%2B%20%2829%20-%2026%29%5E%7B2%7D%20%2B%20%2835%20-%2026%29%5E%7B2%7D%20%2B%20%2841%20-%2026%29%5E%7B2%7D%7D%7B5%7D)
= ![\frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-%2018%29%5E%7B2%7D%20%2B%20%28-%209%29%5E%7B2%7D%20%2B%20%283%29%5E%7B2%7D%20%2B%20%289%29%5E%7B2%7D%20%2B%20%2815%29%5E%7B2%7D%7D%7B5%7D)
= ![\frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B324%5C%20%2B%5C%2081%5C%20%2B%5C%209%5C%20%2B%5C%2081%5C%20%2B%5C%20225%7D%7B5%7D)
= ![\frac{720}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B720%7D%7B4%7D)
σ² = 144
(b) ![Standard\ deviation = \sqrt{Variance}](https://tex.z-dn.net/?f=Standard%5C%20deviation%20%3D%20%5Csqrt%7BVariance%7D)
![= \sqrt{144}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B144%7D)
= 12
Answer:
![Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=Base%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
![\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%C2%B2%20%2B%20x%20%2B%202%7D%7Bx%C2%B2%7D%20%3D%20B%3C%2Fp%3E%3Cp%3E%5Btex%5DBase%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Answer:
y=1.5
Step-by-step explanation:
if (y = 3) is (x = 10) and (y = ?) is (x = 5) we see that x is half of the first equation in the second. This means we divide both variables in the first equation by half to get the second. [(x = 10) / 2 = (x = 5)] therefor, [(y = 3) / 2 = (y = 1.5)]. Making your answer 1.5.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Part A: $125 is constant.
PART B: Earning depends on hour