The ordered pair is a solution of x - y = 2 and 3y - x = 8 is (x, y) = (7, 5)
<h3><u>Solution:</u></h3>
Given two equations are:
x - y = 2 and 3y - x = 8
<em><u>To find: orderes pair i.e (x, y)</u></em>
Let us consider:
x - y = 2 ------- eqn 1
3y - x = 8 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "x" and "y"</u></em>
On rearranging eqn 2, we get
-x + 3y = 8 ------ eqn 3
Add eqn 1 and eqn 3
x - y = 2
-x + 3y = 8
(+) ---------------
0 + 2y = 10
2y = 10
<h3>y = 5</h3>
Therefore from eqn 1,
x - y = 2
x - 5 = 2
x = 5 + 2 = 7
<h3>x = 7</h3>
Thus the ordered pair to the given equations are (x, y) = (7, 5)
Video has a suspected outlier in the 25 hr value
Answer:
0.9 = 90%
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d is given by the following formula.
Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35.
This means that 
The probability that a random vehicle gets between 25 and 34 miles per gallon is:
So the answer is 0.9 = 90%
Answer:
The answer to your question is There were 59/168 muffins left.
Step-by-step explanation:
Data
Initial amount of muffins = 1
Amount of muffins given to his neighbors = 11/21
Amount of muffins eaten = 1/8
Amount of muffins left = ?
Process
1.- Subtract the amount of muffins given to the neighbors and the amount of muffins eaten to the initial amount of muffins.
1 - 11/21 - 1/8 =
-Look for the greatest common factor
21 8 2
21 4 2
21 2 2
21 1 3
7 7
1
GCF = 2 x 2 x 2 x 3 x 7
= 168
-Solve the arithmetical operation
1 - 11/21 - 1/8 = (168 - 88 - 21) / 168
= 59/168
-Conclusion
There were 59/168 muffins left.
