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zhuklara [117]
3 years ago
12

Describe the difference between vertical angles and linear pairs of angles

Mathematics
2 answers:
Irina-Kira [14]3 years ago
4 0
Vertical angles :each of the pairs opposite made by 2 intersecting lines
Linear pairs of angles :are adjacent angles formed when 2 lines intersect
Anvisha [2.4K]3 years ago
3 0

The difference between vertical angles and linear pairs of angles is that linear pairs of angles has two adjacent angles whose noncommon sides form opposite sides and vertical angles have two adjacent angles that have common sides that and they have a common vertex.

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Suppose there is a 13.9 % probability that a randomly selected person aged 40 years or older is a jogger. In​ addition, there is
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Answer:

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so P(A) = 0.13.

In​ addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. P(B/A) is the probability that the person is a male, given that he/she jogs. So P(B/A) = 0.156

The Bayes theorem states that:

P(B/A) = \frac{P(A \cap B)}{P(A)}

In which P(A \cap B) is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

So

P(A \cap B) = P(A).P(B/A) = 0.156*0.139 = 0.217

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.

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