Answer:
there is no graph representing Bobbys running rate
Step-by-step explanation:
FIRST section: x^2-3x+2 = x^2-x-2x+2=(x^2-x) -2x+2 = (x^2-x) -2(x-a million) = x(x-a million) -2(x-a million) = (x-2)(x-a million) 2nd section: x^-4 = x^2- 2^2 = (x-2)(x+2) So now your equation looks like this: FIRST section / 2nd section or (x-2)(x-a million) / (x-2)(x+2) and this comes out at (x-a million) / (x+2), so the respond is B.
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,
![\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57](https://tex.z-dn.net/?f=%5C%3A1%2B%5C%3A2%2B%5C%3A3%2B%5C%3A3%2B%5C%3A3%2B%5C%3A5%2B%5C%3A8%20%2F%207%20%3D%203.57)
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
![\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571](https://tex.z-dn.net/?f=%5Csum%20_%7Bi%3D1%7D%5En%5Cfrac%7B%5Cleft%28x_i-%5Cbar%7Bx%7D%5Cright%29%5E2%7D%7Bn-1%7D%2C%5C%5C%5C%5C%3D%3E%20SS%2Fn%20-%201%5C%5C%5C%5C%3D%3E%2031.714%2F7%20-%201%5C%5C%3D%3E%205.28571)
5.3
<u>Standard Deviation</u>
We take the square root of the variance,
![\sqrt{5.28571} = 2.29906](https://tex.z-dn.net/?f=%5Csqrt%7B5.28571%7D%20%3D%202.29906)
2.3
If you are not familiar with variance and standard deviation, just leave it.
4 + 2 = 6
30 / 6 = 5
5 * 4 = 20
5 * 2 = 10
20 : 10
Simplified =
2 : 1