3 years ago

0.252 divided by 4.2

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

0.06

Step-by-step explanation:

I got the answer right on my math test, so I hope this helps!

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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>

$\int\limits^4_0 {fx(x)} \, dx =1$

$\int\limits^2_0 {Kx} \, dx +\int\limits^4_2 {K(4-x)} \, dx =1$

$K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1$

open the equation

$K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\$

$2K+K[\frac{4}{2} ]=1$

2K + 2K = 1

4K = 1

divide through by 4

K = 1/4

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Step-by-step explanation:

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Step-by-step explanation:

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