All linear functions have in common...
1. Their highest exponent is 1.
2. The graphs of the equations are lines.
When finding things in common between different types of functions, you always have to look at the two sides of math; geometry and algebra. Geometry is all the graphs, and algebra is the equations.
I hope this helps!
Answer:
Step-by-step explanation:
Given ![f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y](https://tex.z-dn.net/?f=f_%7BXY%7D%20%28x%2Cy%29%20%3D%20c%284x%20%2B%202y%20%2B1%29%20%3B%200%20%3C%20x%20%3C%2040%5C%2Cand%5C%2C%200%20%3C%20y%20%3C2%0A)
a)
we know that ![\int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%5Cinfty_%7B-%5Cinfty%7D%5Cint%5Climits%5E%5Cinfty_%7B-%5Cinfty%7D%20%7Bf%28x%2Cy%29%7D%20%5C%2C%20dxdy%3D1)
therefore ![\int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B40%7D_%7B-0%7D%5Cint%5Climits%5E2_%7B0%7D%20%7Bc%284x%2B2y%2B1%29%7D%20%5C%2C%20dxdy%3D1)
on integrating we get
c=(1/6640)
b)
on doing the integration we get
=0.37349
c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent
Answer:
$1.2 is shipping and handling.
Step-by-step explanation:
If shipping is 1/5(20%) of the price 6 divided by 5 = $1.2
The answer would be D. 88:2
hope this hells!!
Answer:
the number is -39
Step-by-step explanation:
2(n-6)=3(n+9)
2n-12=3n+27
-2n -2n
-12=n+27
-27 -27
-39=n