If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y
y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =
We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)
However, if the sample space is continuous, it will be simply p(x<y)=1/2.
3(4x-5)+4(2x+6)
Distribute.
12x-15+8x+24
12x+8x= 20x
24-15= 9
20x+9 <---- simplified expression
I hope this helps!
~kaikers
Hello!
Annually means once a year so if it is compounded annually then it is compounded only once per year, meaning interest is added to principal only 1 time per year.
Hope this helps! Any questions please just ask!! Thank you so much!!
A line that is tangent to each of the two coplanar circles
Answer: Slope=−
2.000
1.600
=−0.800
x−intercept=
4
12
=3
y−intercept=
5
12
=2.40000
Step-by-step explanation: