Answer:
L=12cm
Step-by-step explanation:
A=WL
Solving for L
L=A
/W=72
/6=12cm
Answer:
![\bar X = \frac{8+11+17+7+19}{5}= 12.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20%5Cfrac%7B8%2B11%2B17%2B7%2B19%7D%7B5%7D%3D%2012.4)
And the can be founded with this formula:
![s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i-%5Cbar%20X%29%5E2%7D%7Bn-1%7D%7D)
![s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367](https://tex.z-dn.net/?f=%20s%20%3D%20%5Csqrt%7B%5Cfrac%7B%288-12.4%29%5E2%20%2B%2811-12.4%29%5E2%20%2B%2817-12.4%29%5E2%20%2B%287-12.4%29%5E2%20%2B%2819-12.4%29%5E2%7D%7B5-1%7D%7D%20%3D5.367)
And rounded to the nearest tenth we got ![s= 5.4](https://tex.z-dn.net/?f=%20s%3D%205.4)
Step-by-step explanation:
For this case we have the following data given:
8, 11, 17, 7, 19
The first step is calculate the sample mean with this formula:
![\bar X = \frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And replacing we got:
![\bar X = \frac{8+11+17+7+19}{5}= 12.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20%5Cfrac%7B8%2B11%2B17%2B7%2B19%7D%7B5%7D%3D%2012.4)
And the deviation can be founded with this formula:
![s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i-%5Cbar%20X%29%5E2%7D%7Bn-1%7D%7D)
And replacing we got:
![s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367](https://tex.z-dn.net/?f=%20s%20%3D%20%5Csqrt%7B%5Cfrac%7B%288-12.4%29%5E2%20%2B%2811-12.4%29%5E2%20%2B%2817-12.4%29%5E2%20%2B%287-12.4%29%5E2%20%2B%2819-12.4%29%5E2%7D%7B5-1%7D%7D%20%3D5.367)
And rounded to the nearest tenth we got ![s= 5.4](https://tex.z-dn.net/?f=%20s%3D%205.4)
The answer is 8.6. I hope this helped you out!
Answer:
36
Step-by-step explanation:
F1 = 1
F2 = 1 + 2
F3 = 1 + 2 + 3
--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:
F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2
So, 8th figure has:
F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36
The slope of a line is:
m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points on the line:
m=(-3-2)/(6--4)
m=-5/10
m= -1/2