False the +2 shifted to equation up 2 spots not left 2 spots
:)))
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."
Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
Answer:
-3/1
Step-by-step explanation:
The slope can be found by putting the rise over the run.
Pick 2 points on the graph that intercept the line.
I'll pick (0,2), and (1,-1)
Look at the rise.(How many places it goes up or down)
The rise vertical distance(rise), between the two points is -3.
Now look at the run(the horizontal distance.) It's 1.
Rise/Run = -3/1 AKA -3
Answer:
Step-by-step explanation:
Given that,
The side length of a square, l = (x+4) inches
We need to find an expression to represent the area of the square.
The area of a square is given by :
So,
So, the area of the square is 
.
