P=1/8 Subtract
1
8
1
8
81
from both sides of the equation
−
3
+
1
8
=
−
1
4
−
3
p
+
1
8
=
−
1
4
−3p+81=−41
−
3
+
1
8
−
1
8
=
−
1
4
−
1
8
−
3
p
+
1
8
−
1
8
=
−
1
4
−
1
8
−3p+81−81=−41−81
The fill in the blanks is missing a ^2 because it is a completing of squares so it's missing something but the answer is:
y = (x+4)^2 +9
It's not hard to find one of those, since there are
an infinite number of them. Here are a few:
18.55000001
18.56
18.57
18.58
18.59
18.591
18.59100001
18.59100002
18.59100003
18.59100004
18.59100005
18.5910006
18.591007
18.59108
18.5919
18.59191
18.59192
18.59193
.
.
etc.
Answer:
Step-by-step explanation:
Let 
be the shaded area and 
be the unshaded area, then we know that
(1). 
and
(2). 
We solve for in the first equation and get:
and put this into the second equation and get:
The example that I can think of is a deck of playing cards. The two events that don't have a common set would be the black card and the red card. They are mutually exclusive because there can only be two possible colors. If the card is not red, then it is black (and vice versa). There is no card that consists of both colors.
