Answer:
r = 13
Step-by-step explanation:
these angles are vertical and are congruent
8r + 6 = 9r - 7
6 = r - 7
13 = r
Answer:
¹/15
Step-by-step explanation:
Area of the rug = s²
Where s = 2 m
Area of the rug = 2² = 4 m²
Area of the rectangular carpet = length × width
Where,
Length = 12 m
Width = 5 m
Area = 12 × 5 = 60 m²
Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15
Answer:
On the Y axis
Step-by-step explanation:
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
.
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.
is the probability that the person is a male, given that he/she jogs. So 
The Bayes theorem states that:

In which
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

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.