Answer:
<h3>
R = 20</h3>
Step-by-step explanation:
The sum of measures of angles in triangle is always 180°:
P + Q + R = 180
Q - R = 50 ⇒ Q = 50 + R
P - Q = 20 ⇒ P = 20 + Q = 20 + 50 + R = 70 + R
so:
P + Q + R = 180
70 + R + 50 + R + R = 180
120 + 3R = 180
3R = 180 - 120
3R = 60
R = 60:3
R = 20
Answer:
It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.
Step-by-step explanation:
The answer is The percent, as a decimal, of the original price that Ray pays
We know that
<span>Joey and Rita paint a room in 8 hours
so
100%----------> 8 hours
X%----------> 1 hour
x=100/8-----> 12.5%
that means
</span>Joey and Rita paint 12.5% of a room in 1 hour
Billy paint a room in 12 hours
so
100%----------> 12 hours
X %------------> 1 hour
x=100/12----> x=8.33 %
that means
Billy paint 8.33% of a room in 1 hour
i<span>f all three work together
then
All three paint (12.5%+8.33%) in 1 hour
20.83%------------> 1 hour
100%------------> x
x=100/20.83-----> x=4.8 hours
the answer is
4.8 hours</span>
Answer:
Step-by-step explanation:
Given
close
fail to close
First, calculate the value of q
Using complement rule
So, we have:
and
Solving (a): Fails to close on the 4th attempt
This means that he closes the first three attempts. The event is represented as: p p p q
So, we have:
Solving (b): He closes for the first time on the 3rd attempt
This means that he fails to close the first two attempts. The event is represented as: q q p
So, we have:
Solving (c): First he closes is his 2nd attempt
This means that he fails to close the first. The event is represented as: q p
So, we have:
Solving (d): The first he close is one of his 3 attempts
To do this, we make use of complement rule
The event that he does not close any of his first three attempts is: q q q
The probability is:
The opposite is that the first he closes is one of the first three
So, we have:
--- complement rule
