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
To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value:
-6/8 = -3/4

So the minimum value of g(x) is -81/4
This shows that g(x) has a lesser minimum value than f(x)
Answer: y<-3x+4
Step-by-step explanation:
Option 4 (D)
Answer:
x = 32
Step-by-step explanation:
this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y
since we are solving for 'x' we can set up this equation:
3(2x-4) = 180
6x - 12 = 180
6x = 192
x = 32
13. Supplementary angles are two angles that add up to 180 degrees.
3x + x = 180
Combine like terms:
4x = 180
4x divided by 4 = x
180 divided by 4 = 45
x = 45
Equation:
3(45) + 45 = 180
135 + 45 = 180 (TRUE STATEMENT)
Angle A = 135 degrees
Angle B = 45 degrees
This is correct as 135 + 45 adds up to 180 (making it a supplementary angle) AND 135 is 3 times bigger than 45 so it fits the answer’s standard.
Ima do number 14 in the comments as I don’t want to take too long to show number 13.