Answer:
The population density is 618.93 per square mile.
Step-by-step explanation:
It is given that,
No. of people, N = 70,000
The radius of a city's town hall, r = 6 miles
We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,
So, the population density is 618.93 per square mile.
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability =
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.