Answer:
No it is not
Step-by-step explanation:
The median is 84200
The mean is 85300
Low income is 65100
High income is 103400
From this information, we can see a skewed data. The mean would not be a good estimate value. Rather the center (median) would be more appropriate.
When we calculate the middle value for this data
65100+103400 = 168500/2 = 84250
84250 is closer to the median score of 84200. The median is best in the presence of outliers.
Answer:
x=0
Step-by-step explanation:
2(3x-1)=6x-2
6x-2=6x-2
then plus two on both sides
6x=6x
x=0
Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point
and end point
in the ratio m:n, we use the formula
![Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )](https://tex.z-dn.net/?f=Q%28x%2Cy%29%3D%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%20%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%20%29)
,
, Q(x,y)=(4,1), m:n=1:4
Therefore:
![(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)](https://tex.z-dn.net/?f=%284%2C1%29%3D%28%5Cdfrac%7B1x_2%2B4%2A2%7D%7B1%2B4%7D%20%2C%5Cdfrac%7B1y_2%2B4%2A-1%7D%7B1%2B4%7D%20%29%5C%5C%284%2C1%29%3D%28%5Cdfrac%7Bx_2%2B8%7D%7B5%7D%20%2C%5Cdfrac%7By_2-4%7D%7B5%7D%20%29%5C%5C%24Therefore%3A%5C%5C%5Cdfrac%7Bx_2%2B8%7D%7B5%7D%3D4%5C%5Cx_2%2B8%3D4X5%5C%5Cx_2%3D20-8%3D12%5C%5C%24Similarly%5C%5C%5Cdfrac%7By_2-4%7D%7B5%7D%3D1%5C%5Cy_2-4%3D5%5C%5Cy_2%3D4%2B5%3D9%5C%5C%28x_2%2Cy_2%29%3D%2812%2C9%29)
The correct option is A.
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
===============================================================
How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
-------------------
Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.