First combine like terms
5+4= 9
1/4s-2/3s= -5/12s
-5/12s= 9
S= -21.6
Answer:
The correct option is;
Simpson Paradox
Step-by-step explanation:
The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.
Whereby the data for calculating the bating averages as found online are given as follows;
Season, Derek Jeter David Justice
1995, 12/48 = 0.250 104/411 ≈ 0.253
1996, 183/582 ≈ 0.314 45/140 ≈ 0.321
The overall hits to the overall bats ratio are;
, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27
Which shows that Derek Jeter's overall average was better than Justice's average
Let the points be (p,q) and (r,s).
The slope is (s-q)/(r-p). The equation is y-s=(s-q)(x-r)/(r-p).
This can be written (y-s)(r-p)=(s-q)(x-r).
y(r-p)-s(r-p)=x(s-q)-r(s-q); y(r-p)=x(s-q)+rs-ps-rs+qr; y=x(s-q)/(r-p)+(qr-ps)/(r-p).
Note that r cannot be equal to p in this standard form. If r=p we have a vertical line x=p.
If q=s we have the horizontal line y=q.
Liquid volumeis the amount of liquid in a container.
![\frac{7}{1}x- \frac{2}{5}+ \frac{4}{5}x= \frac{9}{10} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B1%7Dx-%20%5Cfrac%7B2%7D%7B5%7D%2B%20%5Cfrac%7B4%7D%7B5%7Dx%3D%20%5Cfrac%7B9%7D%7B10%7D%0A%20)
![\frac{5}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B5%7D%20)
*
![\frac{7}{1}= \frac{35}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B1%7D%3D%20%5Cfrac%7B35%7D%7B5%7D%20%20)
![\frac{35}{5}x-\frac{2}{5} + \frac{4}{5} x= \frac{9}{10} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B35%7D%7B5%7Dx-%5Cfrac%7B2%7D%7B5%7D%20%2B%20%5Cfrac%7B4%7D%7B5%7D%20x%3D%20%5Cfrac%7B9%7D%7B10%7D%20%0A)
~Combine like terms
![\frac{39}{5}x- \frac{2}{5} = \frac{9}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B39%7D%7B5%7Dx-%20%5Cfrac%7B2%7D%7B5%7D%20%20%3D%20%5Cfrac%7B9%7D%7B10%7D%20)
~Find common denominator of 2/5 and 9/10 then, add
![\frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20)
to both sides
![\frac{39}{5}x= \frac{9}{10}+ \frac{4}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B39%7D%7B5%7Dx%3D%20%5Cfrac%7B9%7D%7B10%7D%2B%20%5Cfrac%7B4%7D%7B10%7D)
~Combine like terms
![\frac{39}{5}x= \frac{13}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B39%7D%7B5%7Dx%3D%20%5Cfrac%7B13%7D%7B10%7D%20%20)
~Multiply by the reciprocal of
![\frac{39}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B39%7D%7B5%7D%20)
on both sides
![\frac{5}{39}* \frac{39}{5}x= \frac{13}{10}* \frac{5}{39}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B39%7D%2A%20%5Cfrac%7B39%7D%7B5%7Dx%3D%20%5Cfrac%7B13%7D%7B10%7D%2A%20%5Cfrac%7B5%7D%7B39%7D%20%20%20%20)
~The left side cancels
~39 divided by 13 on the right side can be simplified to 3, and 10 divided by 5 can be simplified to 2
![x= \frac{1}{2}* \frac{1}{3}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%20%5Cfrac%7B1%7D%7B3%7D%20%20)