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
#SPJ4
Answer:
The slope is
.
Step-by-step explanation:
Math Vocabulary Values
Vertical Change -1
Horizontal Change 3
Slope 
1/2 (Base x height) = area
1/2 (4*x)=10
2x=10
X=5
The height is 5 units
7+3t -t
------- = ----- is the relevant equation here. We don't ask, "What is 7+3t over
4 8 -t over 8," but rather "Solve the following equation for t."
Cross multiplying, 56 + 24t = -4t
-56
Then: 28t = 56, and t = ------ = -2 (answer)
28
The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>