Answer:
6 times whatever x is would be greater that -54
Answer:
x =
, 
Step-by-step explanation:
First, isolate the absolute value:
5|2x - 7| = 20
divide both sides by 5:
|2x - 7| = 4
break into 2 equations:
2x - 7 = 4, 2x - 7 = -4
solve both equations and collect solutions:
2x = 11, 2x = 3
x =
, 
Answer:
x=
−4y+32
9
Step-by-step explanation:
Let's solve for x.
y=
−9
4
x+8
Step 1: Flip the equation.
−9
4
x+8=y
Step 2: Add -8 to both sides.
−9
4
x+8+−8=y+−8
−9
4
x=y−8
Step 3: Divide both sides by (-9)/4.
−9
4
x
−9
4
=
y−8
−9
4
x=
−4y+32
9
I think this is the right answer.
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.