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
3t shirts cost $18
1 shirt will cost 18/3t = 6/t
7t shirts will then cost = (6/t)*7t = 42
7t shirts will cost $42.00
Answer:
$204.98
Step-by-step explanation:
Step 1: Add both item cost

Step 2: Find the sales tax of the result

- Step 1: Convert 8% to fraction

- Simplify

- Step 2: Convert 189.80 to a fraction

- Step 3: Set it up

- Step 4: Cross divide

- Step 5: Multiply the result

Step 3: Add the result from the total cost of both items

The total cost of the hats and boots including sales tax is 204.98 dollars
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is
.



The angle
of the other triangle plus the angle
of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,



To find ?, we have



16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have




Answer:
Option C
Step-by-step explanation:
we know that
The measurement of the <u>exterior angle</u> is the semi-difference of the arcs it comprises
so

we have


substitute
Rewrite