PLEASE HELP 10 POINTS

Mathematics

1 answer:

Westkost [7]3 years ago

8 0

1/28. The probability that both songs are rock songs is 1/28.

The easiest way to solve this problem is using probability.

This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).

The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.

The probability that both songs are rock song is:

P(A∩B) = P(A)*P(B)

P(A∩B) = (2/8)(1/7) = 2/56

P(A∩B) = 1/28

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I have added a screenshot with the complete question along with a diagram representing the scenario.

Answer:
s = 22°

Explanation:
1- getting the top right angle of line B:
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
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2- getting the value of s:
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
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s = 22°

Hope this helps :)