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.
Answer:
B
Step-by-step explanation:
The equation 
represents the total number of kittens, where 
represents <u>the number of weeks that have passed since Samantha started counting.</u>
This means options C and D are false, because they say <u>the total number of kittens that have come into the shelter</u>.
represents the number of weeks, weeks can be counted 0 weeks, first week, second week and so on, so option B is true (the domain is all whole numbers) because 0, 1, 2, 3, ... are whole numbers.
Number of weeks can't be a negative number. Since "real numbers" include negatives, therefore, we exclude option A.
5.25 / .85 you would get 6.17~ but you cant sell 1/4th a cup, so you have to round up, making it 7 cups.
Answer:
a = jd
Step-by-step explanation:
We want to solve for a given that a/d = j
To do so we want to isolate a (get a by itself )
We can do this by using inverse operations.
We would want to get rid of the d
A is being divided by d.
The inverse of division is multiplication so to get rid of the d we multiply a/d by d but whatever we do to one side we must do to the other so we multiply both sides by d
a/d * d = a
j * d = jd
we are then left with a = jd
And we are done!
