Answer:
13 unit
Step-by-step explanation:
By the distance formula,
The distance between two points
and
is,
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Thus, the distance between B(8,-7) and C(-4,-2) is,
![BC=\sqrt{(-4-8)^2+(-2+7)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%28-4-8%29%5E2%2B%28-2%2B7%29%5E2%7D)
![=\sqrt{(-12)^2+(5)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28-12%29%5E2%2B%285%29%5E2%7D)
![=\sqrt{144+25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B144%2B25%7D)
![=\sqrt{169}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B169%7D)
![=13\text{ unit}](https://tex.z-dn.net/?f=%3D13%5Ctext%7B%20unit%7D)
Answer:
14
Step-by-step explanation:
Multiply 7 and 6, then 7 and -4: 42-28=?
Subtract: 42-28=14
Answer:
Step-by-step explanation:
Answer:
Mean =![\sum x P(x) = 36.86](https://tex.z-dn.net/?f=%5Csum%20x%20P%28x%29%20%3D%2036.86)
Standard deviation =![\sum x^2P(X)=1360.9](https://tex.z-dn.net/?f=%5Csum%20x%5E2P%28X%29%3D1360.9)
Step-by-step explanation:
x P(x)
![x^2 \times P(x)](https://tex.z-dn.net/?f=x%5E2%20%5Ctimes%20%20P%28x%29)
33 0.02 0.66 21.78
34 0.06 2.04 69.36
35 0.1 3.5 122.5
36 0.2 7.2 259.2
37 0.24 8.88 328.56
38 0.26 9.88 375.44
39 0.1 3.9 152.1
40 0.02 0.8 32
1 36.86 1360.9
We are supposed to find mean and standard deviation
Mean =![\sum x P(x) = 36.86](https://tex.z-dn.net/?f=%5Csum%20x%20P%28x%29%20%3D%2036.86)
Standard deviation =![\sum x^2P(X)=1360.9](https://tex.z-dn.net/?f=%5Csum%20x%5E2P%28X%29%3D1360.9)
Answer:
228 POUNDS
Step-by-step explanation:
Write the question as an equation:
x - (x/2 + 20 - (0.5x + 20 ) / 4)= 57
x - 2x/4 + 80/4 - (x+80) / 4 = 57
(4x - 2x +80 - x -80)/4 = 57
4x - 2x +80 - x -80 = 57 x 4 = 228
The total amount Simon got = x = 228
Hope this helps,