The value of K for which f(x) is a valid probability density function is 1/4.
<h3>How to solve for the value of K</h3>


![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
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Answer:-
I think it’s the last option where x and y both are zero.
2x + 2y = 0
Here x = 0 and y = 0.
Hope it helps if u hv any questions feel free to ask...hv a grt day :)
We have
1/2 liter apple juice ---- 1/3 of her glass
1-liter apple juice --- x
x is the number of glass filled with 1 liter

we can obtain equivalent fractions like

the answers are 2/3 and 4/6
Answer: √
145 or 12.04159457 for the decimal ways try 12
Step-by-step explanation: 12.0415945787923
Midpoint (−2,−9.5)
Slope −0.0833333333333333
x intercept −116.00
y intercept −9.67
See the attachment..........