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koban [17]
3 years ago
12

al's auto shop charges $80 for parts and $20 per hour of labor for repair job. Ednas engine repair charges $95 for parts and $15

per hour of labor for the same job. Write a system of equations to represent the situation.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
Y= 20x + 80
y= 15x + 95
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BabaBlast [244]

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 P(A \cap B) = 0.12

0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

This means that P(B) = 0.27

0.39 probability that a randomly selected person will feel guilty about wasting food

This means that P(A) = 0.39

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)?

P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.39 + 0.27 - 0.12 = 0.54

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)?

p = 1 - P(A \cup B) = 1 - 0.54 = 0.46

0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

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8multiple by 8 is 64. to find an answer we will do the 8×8=64

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