Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees
Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
Answer:
Step-by-step explanation:
m has a slope of -2 and a y intercept of 4
y = -2x + 4
n has a slope of 1 and a y intercept of -1
y = 1x - 1
y = x - 1
Ah!... the invisible questions in a sideways posted image.
t has a slope of zero and a y intercept of 3
y = 0x + 3
y = 3
p has infinite slope and no y intercept.
x = -5
The monthly growth rate would be 16.5% divided by 12 which is 1.3%
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.