Answer:
Option B.
Step-by-step explanation:
The given table is:
Number of Lease Offices : 0 1 2 3 4 5
Probability : 5/18 1/4 1/9 1/18 2/9 1/12
The expected probability is
Expected probability = ![\sum_{i=0}^5 x_{i}p(x_i)](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D0%7D%5E5%20x_%7Bi%7Dp%28x_i%29)
Expected probability = ![0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)](https://tex.z-dn.net/?f=0p%280%29%2B1P%281%29%2B2P%282%29%2B3P%283%29%2B4P%284%29%2B5P%285%29)
Expected probability = ![0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}](https://tex.z-dn.net/?f=0%5Ccdot%20%28%5Cfrac%7B5%7D%7B18%7D%29%2B1%5Ccdot%20%28%5Cfrac%7B1%7D%7B4%7D%29%2B2%5Ccdot%20%28%5Cfrac%7B1%7D%7B9%7D%29%2B3%5Ccdot%20%28%5Cfrac%7B1%7D%7B18%7D%29%2B4%5Ccdot%20%28%5Cfrac%7B2%7D%7B9%7D%29%2B5%5Ccdot%20%28%5Cfrac%7B1%7D%7B12%7D%29%3D%5Cfrac%7B35%7D%7B18%7D)
It is given that the yearly lease = $12,000.
The yearly leases for the whole building in a given year is
Yearly leases = ![\frac{35}{18}\times 12000=23333.3333333\approx 23333.33](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B18%7D%5Ctimes%2012000%3D23333.3333333%5Capprox%2023333.33)
Therefore, the correct option is B.
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The 8 full boxes have 80 apples (8x10) and the 6 half boxes have 30 apples (6x5).
So: 80+30=110
Answer:
y = 2x + 7
Step-by-step explanation:
For a straight line to be parallel to another it needs to have the same gradient. Therefore 2x stays the same and we just change out our y-intercept.
The remote angles of the figure shown above of angle 5 are angle 3, angle 2, and angle 1. Remote angles are just angles inside the triangle. In this case, The angles that are inside the triangle are 3, 2 and 1.