1/2y+y²
2(1/2y)+y²*2
y+2y²
y+4y
5y
Answer:
The standard deviation is 0.4984 
Step-by-step explanation:
In order to find standard deviation, The equation is given as
Here μ is the mean which is calculated as follows
Now the standard deviation is given as
![\sigma=\sqrt{\frac{1}{100} \sum_{i=1}^{100} (-0.04 \hbar-x_i)^2}\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.04 \hbar-0.5 \hbar)^2]+[54 \times(-0.04 \hbar+0.5 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.54 \hbar)^2]+[54 \times(0.46 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(0.2916 \hbar)]+[54 \times(0.2116 \hbar)]}]\\\sigma=\sqrt{\frac{1}{100} [13.4136 \hbar+11.4264 \hbar}]\\\sigma=\sqrt{\frac{24.84 \hbar}{100}}\\\sigma =0.4984 \hbar](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5Csum_%7Bi%3D1%7D%5E%7B100%7D%20%28-0.04%20%5Chbar-x_i%29%5E2%7D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%28-0.04%20%5Chbar-0.5%20%5Chbar%29%5E2%5D%2B%5B54%20%5Ctimes%28-0.04%20%5Chbar%2B0.5%20%5Chbar%29%5E2%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%28-0.54%20%5Chbar%29%5E2%5D%2B%5B54%20%5Ctimes%280.46%20%5Chbar%29%5E2%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%280.2916%20%5Chbar%29%5D%2B%5B54%20%5Ctimes%280.2116%20%5Chbar%29%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B13.4136%20%5Chbar%2B11.4264%20%5Chbar%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B24.84%20%5Chbar%7D%7B100%7D%7D%5C%5C%5Csigma%20%3D0.4984%20%5Chbar)
So the standard deviation is 0.4984
Notice the table of values
when x = 2, y = -5
then "x" goes 2 units over to 4, and "y" moves over to 5, now from -5 to 5 is 10 units, so when "x" moved just 2 units, "y" went 10.
then "x" goes further down to 7, moving 3 units over,
and "y" goes further from 5 to 20? what the? it went 15 units.
so.... hmmm notice, is we do some quick splitting and instead check how much "y" is moving for every unit on "x".
notice, on 2 units of "x", "y" moved 10 units
and on 3 units of "x", "y" moved 15 units, like from 5 to 20.
so, "y" is really moving 5 units on every unit moved by "x", so the "rate of change" or slope is indeed constant, is 3 to 1 all the way.
(8-4x+2y)-(20+4x-4y)
-12-8x+6y or -8x+6y-12
Answer:
m^2-m-12
Step-by-step explanation:
