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Pepsi [2]
3 years ago
9

How would i solve this

Mathematics
2 answers:
velikii [3]3 years ago
7 0
We have supplementary angles.

I) 2(x+25) +2x-30=180 ⇒ 2x+50+2x-30=180 ⇒ 4x = 160 ⇒ x = 40°

II) 13w+4w+10=180 ⇒ 13w + 4w = 180 - 10⇒ 17w = 170  ⇒ w = 10°


denpristay [2]3 years ago
4 0
The adjacent angles should add up to 180°
Attached is a picture of my work and steps

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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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