Answer:
e
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Step-by-step explanation: f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
)
=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
2
x
−
3
)
=
(
2
x
−
3
)
2
−
2
(
2
x
−
3
)
=
(
2
x
−
3
)
(
2
x
−
3
−
2
)
=
(
2
x
−
3
)
(
2
x
−
5
)
f
∘
g
(
x
)
≠
g
∘
f
(
x
)
Hey there
The slopes of perpendicular lines are negative reciprocals. <span>Perpendicular lines have slopes that are </span>negative reciprocals<span> of each other.</span><span>
= (C) </span>
Answer:
A. no, not independent
Step-by-step explanation:
Let A = "father born in Michigan" and B = "mother born in Michigan".
If A and B are independent, then ...
P(A|B) = P(A)
The table tells us ...
P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397
and
P(A) = 0.48
Since 0.48 ≠ 0.397, we must conclude that the events are not independent.
Use this formula (x1+x2 over 2, y1+y2 over 2)
I believe it is A. Hope this helps.
