Answer:
D. No, because
and the
are not equal.
Step-by-step explanation:
Given:
Probability of doing yard work is, 
Probability of raining, 
Probability of doing yard work and it raining is, 
Now, two events A and B are independent if,

Conditional probability of event A given that B has occurred is given as:

So, 
Since,
, A and B are not independent events.
Answer:
or 
Step-by-step explanation:
We use casework on when
and when
.
For the first case,
, we add 9 to both sides to get
.
Dividing both sides by 3 gives

For the second case,
, we add 9 to both sides to get
.
Dividing both sides by 3 gives
.
Checking both cases, we plug in
and
.
For the first case, we have
, which satisfies the equation.
For the second case, we have
, which also satisfies the equation.
This gives us two solutions to the equation;
and
.
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
B. You can get this by factoring the bottom of the first expression and then cancelling the terms. Then multiply by the inverse of the second.