Answer:
a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons
Step-by-step explanation:
We use Venn's Equations for probabilities.
I am going to say that:
P(A) is the probability that a randomly selected person will feel guilty about wasting food.
P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
0.12 probability that a randomly selected person will feel guilty for both of these reasons.
This means that 
0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
This means that 
0.39 probability that a randomly selected person will feel guilty about wasting food
This means that 
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons
Answer:
35.2%
Step-by-step explanation:
You have
3/12 = x/16
Multiply by 16
16*(3/12) = x = 4
x = 4
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
Answer:
Step-by-step explanation:
<u>Ball dropped and we start count from that moment:</u>
- 160 ft down
- 80 ft up and down
- 40 ft up and down
- 20 ft up and down, end
<u>Total distance:</u>
- 160 + 80*2 + 40*2 + 20*2 = 440 ft