Answer:
375 sheep.
Step-by-step explanation:
To find 1/4 of 1500, you must divide the number by the denominator of the fraction.
1500 ÷ 4 = 375
Answer:
R = 6
Step-by-step explanation:
Given the equation of the line is 2x - Ry = 30
We know that the equation of a line with a as x-intercept and b as y-intercept is ![\frac{x}{a} +\frac{y}{b} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Ba%7D%20%2B%5Cfrac%7By%7D%7Bb%7D%20%3D1)
Now convert the above given line to the standard form
Divide the line by 30 we get
![\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B30%7D-%5Cfrac%7BRy%7D%7B30%7D%20%3D%5Cfrac%7B30%7D%7B30%7D)
![\frac{x}{15} -\frac{y}{\frac{30}{R} } =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B15%7D%20-%5Cfrac%7By%7D%7B%5Cfrac%7B30%7D%7BR%7D%20%7D%20%3D1)
Here the y-intercept is 30/R
Given y-intercept = 5
![\frac{30}{R} =5](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7BR%7D%20%3D5)
R = 6
Answer:
a) E(y) = 0.8
b) The average subcharge is $165
Step-by-step explanation:
We are given the following distribution in the question:
y: 0 1 2 3
P(y): 0.50 0.25 0.20 0.05
a) E(y)
![E(y) = \displaystyle\sum y_iP(y_i)\\\\E(y) = 0(0.50)+1(0.25)+2(0.20)+3(0.05)\\E(y) = 0.8](https://tex.z-dn.net/?f=E%28y%29%20%3D%20%5Cdisplaystyle%5Csum%20y_iP%28y_i%29%5C%5C%5C%5CE%28y%29%20%3D%200%280.50%29%2B1%280.25%29%2B2%280.20%29%2B3%280.05%29%5C%5CE%28y%29%20%3D%200.8)
b) Expected value of subcharge
Subcharge =
![\$110y^2](https://tex.z-dn.net/?f=%5C%24110y%5E2)
Expected value of subcharge =
![=110E(y^2)\\\\=110\displaystyle\sum y_i^2P(y_i)\\\\=110(0^2(0.50)+1^2(0.25)+2^2(0.20)+3^2(0.05))\\=110(1.5)=165](https://tex.z-dn.net/?f=%3D110E%28y%5E2%29%5C%5C%5C%5C%3D110%5Cdisplaystyle%5Csum%20y_i%5E2P%28y_i%29%5C%5C%5C%5C%3D110%280%5E2%280.50%29%2B1%5E2%280.25%29%2B2%5E2%280.20%29%2B3%5E2%280.05%29%29%5C%5C%3D110%281.5%29%3D165)
Thus, the average subcharge is $165
L = 12 ft
W = 8 ft
One room has area:
A1 = L · W = 12 · 8 = 96 ft²
The total area of rooms:
A = 2 · 96 = 192 ft²
Answer:
59.4
Step-by-step explanation: