Answer:
2.3
Step-by-step explanation:
n = Number of data points = ![9](https://tex.z-dn.net/?f=9)
The data set is
![4, 7, 5, 8, 12, 2, 3, 5, 7](https://tex.z-dn.net/?f=4%2C%207%2C%205%2C%208%2C%2012%2C%202%2C%203%2C%205%2C%207)
Mean
![\bar{x}=\dfrac{4+7+5+8+12+2+3+5+7}{9}=5.89](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cdfrac%7B4%2B7%2B5%2B8%2B12%2B2%2B3%2B5%2B7%7D%7B9%7D%3D5.89)
Absolute mean deviation
![\dfrac{|4-5.89|+|7-5.89|+|5-5.89|+|8-5.89|+|12-5.89|}{9}\\+\dfrac{|2-5.89|+|3-5.89|+|5-5.89|+|7-5.89|}{9}=2.3](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C4-5.89%7C%2B%7C7-5.89%7C%2B%7C5-5.89%7C%2B%7C8-5.89%7C%2B%7C12-5.89%7C%7D%7B9%7D%5C%5C%2B%5Cdfrac%7B%7C2-5.89%7C%2B%7C3-5.89%7C%2B%7C5-5.89%7C%2B%7C7-5.89%7C%7D%7B9%7D%3D2.3)
The mean absolute deviation of the data set is
.
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x - 1 ( divide all terms by 3 )
y = 2x -
← in slope- intercept form
with slope m = 2
Answer:
See below in bold.
Step-by-step explanation:
y = 3(x + 2) (x + 6)
3(x + 2) (x + 6) = 0
x = -2, -6.
The x -intercepts are (-2,0) and (-6, 0).
Convert to vertex form:
y=3(x + 2) (x + 6)
y = 3(x^2 + 8x + 12)
y = 3(x^2 + 8x) + 36
y = 3[(x + 4)^2 - 16] + 36
y = 3(x + 4)^2 - 12.
So the vertex is at (-4, -12) and
the axis of symmetry x = -4.
Answer: 6 trips
Step-by-step explanation: