Answer:
17
Step-by-step explanation:
The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:
![10, 12, 14, 16, 18, 20, 22, 24](https://tex.z-dn.net/?f=10%2C%20%20%2012%2C%20%20%2014%2C%20%20%2016%2C%20%20%2018%2C%20%20%2020%2C%20%20%2022%2C%20%20%2024)
Since there is an even number of data values in this data set, there are two middle numbers. With 8 data values, the middle numbers are the data values at positions 4 and 5. These are 16 and 18. The median is the average of these numbers. We have
![{\frac{ 16 + 18 }{2}}](https://tex.z-dn.net/?f=%7B%5Cfrac%7B%2016%20%2B%2018%20%7D%7B2%7D%7D)
Therefore, the median is
![17](https://tex.z-dn.net/?f=17)
Step One
Add the first and third
-2x + 2y + 3z = 0
<u>2x + 3y + 3z = 5</u>
5y + 6z = 5
Step Two
Add the second and third together.
- 2x - y + z = -3
<u>2x + 3y + 3z = 5</u>
2y + 4z = 2 Divide this result by 2
y + 2z = 1 multiply this result by 5
5y + 10z = 5
Step three
Subtract the result of step 2 from the result of step one
5y + 10z = 5
<u>5y + 6z = 5 </u> Subtract
4z = 0
z = 0
Step Four
Solve for y
5y + 6z = 5 But z = 0
5y = 5
y = 1
Step Four
Solve for x . Use equation 3 in the givens.
2x + 3y + 3z = 5
2x + 3*1) + 3*0 = 5
2x = 5 - 3
2x = 2
x = 1
Answer
x = 1
y = 1
z =0 This has been checked and found to be correct.
Problem 2
Substitution is not the best way to do this. Divide the last equation by 2 and add it to the first one.
Step One
divide equation 3 by 2.
x + z = 2
Step Two
Add step one to equation 1
-x - y - z = - 8
<u>x + z = 2</u>
- y = - 6
y = 6
Step Three
Put this result into equation 1.
-x - 6 - z = - 8
-x - z = - 2
x + z = 2 Multiply this equation by 4
4x + 4z = 8
Step four
Put y = 7 into the second equation.
-4x + 4y + 5z = 7
-4x + 4*6 + 5z = 7
-4x + 24 + 5z = 7
-4x +5z = -17
Step 5
Add the results from Step 3 and Step 4 together.
-4x + 5z = - 17
4x + 4z = 8
9z = - 9
z = - 1
Step 6
Find x
-x - y - z = - 8
-x -6 + 1 =- 8
-x - 5 = - 8
-x = - 3
x = 3
Answers
x = 3
y = 6
z = -1 verified to be correct.
Answer:
Inspite of giving special consideration to a particular employee, Jack consults everyone before taking any decision regarding the changes in the company's policy.
Answer:
8
Step-by-step explanation:
That little square means the angle between the L shape is 90 degrees.
This means that the two angles must add up to 90 degrees:
(6x+2)+(4x+8)=90
10x+10=90
10x=80
x=8