Answer:
$2,700
Step-by-step explanation:
Let the width of the pasture be x, this means that the length of the pasture will be 2x
The area of a rectangle is L * B
Hence,
x * 2x = 18,000
2x^2 = 180,000
x^2 = 90000
x = 300 meters
This means the length is 600 metres
Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)
= 2 ( 300 + 600)
2 * 900 = 1,800 metres
The cost is thus 1,800 * $1.50 = $2,700
This is an example of empirical probability, although it gives the same ratio as a theoretical probability, because we based the result on our experiment
Answer:
Step-by-step explanation:
Just give me the answer
Answer: 3424.28
Step-by-step explanation:
Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321
Number of data values = 9
Mean :![\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20x_i%7D%7Bn%7D)
![\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56](https://tex.z-dn.net/?f=%5C%5C%5C%5C%3D%5Cdfrac%7B378%2B361%2B350%2B375%2B200%2B391%2B375%2B368%2B321%7D%7B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3119%7D%7B9%7D%5Capprox346.56)
Variance = ![\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%7D%7Bn-1%7D)
![\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224](https://tex.z-dn.net/?f=%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%20%3D%20%2831.44%29%5E2%2B%2814.44%29%5E2%2B%283.44%29%5E2%2B%2828.44%29%5E2%2B%28-146.56%29%5E2%2B%2844.44%29%5E2%2B%2828.44%29%5E2%2B%2821.44%29%5E2%2B%28-25.56%29%5E2%5C%5C%5C%5C%3D27394.2224)
Variance = ![\dfrac{27394.2224}{8}=3424.2775\approx3424.28](https://tex.z-dn.net/?f=%5Cdfrac%7B27394.2224%7D%7B8%7D%3D3424.2775%5Capprox3424.28)