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:
<h2>Multiplication.</h2>
Step-by-step explanation:
The given expression is

For
, we have

Notice that the first operation we need to do is multiplication, because that's the right order of operations when we solve these kind of expressions.

Then, we subtract

Now, we divide

Finally, we sum

Therefore, the right answer is multiplication.
The formula to solve the area of a circle is 3.14 (pi) times the radius (1/2 of the circumference) so 3.14 x 8 = 25.12 so your answer is 25.1
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Step-by-step explanation:
When dividing or multiplying by a negative number, remember to flip the inequality sign.
-3x < 15
x > -5 (divide -3 on both sides, flip the inequality sign)
The correct options are 2 and 9. (D and E)