Answer: The probability is 0.5
Step-by-step explanation:
The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)
The total area of the figure is equal to
Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2
Now, the area of region II is:
Region II = 20'*35' = 700
Then the probability is:
P = 700/1400 = 1/2 = 0.5
We consider the following conversion of units:
10 dm = 1 m
100 cm = 1 m
1000 mm = 1m
For this case the lateral area is given by:
rectangle 1:
A1 = (0.3 * (1/10)) * (6 * (1/100))
A1 = 0.0018 m ^ 2
Rectangle 2:
A2 = (0.3 * (1/10)) * (20 * (1/1000))
A2 = 0.0006 m ^ 2
The lateral area is:
A = 2 * A1 + 2 * A2
A = 2 * (0.0018) + 2 * (0.0006)
A = 0.0048 m ^ 2
Answer:
The lateral area of the right is:
A = 0.0048 m ^ 2
Assuming the tank of water started at 0 gallons the technician needs to empty 15 more gallons from the tank