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
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Answer:
Hi There the correct answer is {x,y} = {-1,-10}
System of Linear Equations entered :
[1] 3x - y = 7
[2] 4x - 2y = 16
Graphic Representation of the Equations :
y + 3x = 7 -2y + 4x = 16
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x - 7
// Plug this in for variable y in equation [2]
[2] 4x - 2•(3x-7) = 16
[2] -2x = 2
// Solve equation [2] for the variable x
[2] 2x = - 2
[2] x = - 1
// By now we know this much :
x = -1
y = 3x-7
// Use the x value to solve for y
y = 3(-1)-7 = -10
Solution :
{x,y} = {-1,-10}
Hope it helps!
2 it will either land on heads or tails if you flip it once, hence 2 possible outcomes.
Answer:
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Step-by-step explanation:
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