Answer:
76,800
Step-by-step explanation:
Given the following :
Length = 20 kilometers
Width = 12 kilometers
Population density = 320 people per sq km
Population =?
Recall:
Area of rectangle = Length × width
Therefore,
Area of Rectangleville = 20 km × 12 km = 240km^2
Population is related to population density and Area by the formula ;
Population density = population ÷ Area
Therefore,
Population = population density × Area
Population = 320 × 240 = 76,800
Therefore, the population of Rectangleville is 76,800 people
Answer: The expected waiting time is 
Step-by-step explanation:
Since we have given that
Average waiting time for slow elevator = 3 min
Average waiting time for fast elevator = 1 min
probability that a person choose the fast elevator = 
Probability that a person choose the slow elevator = 
So, the expected waiting time would be
![E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min](https://tex.z-dn.net/?f=E%5Bx%5D%3D%5Csum%20xp%28x%29%3D3%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B1%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D1%2B%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%2B2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B3%7D%5C%5C%5C%5C%3D1%5Cdfrac%7B2%7D%7B3%7D%5C%20min)
Hence, the expected waiting time is 
Answer: Length of shorter tree = 7.2 feet .
Step-by-step explanation:
Given : Height of two trees as 50 feet and 20 feet.
At same time the angle made by sun rays would be same for both trees.
Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.
Corresponding sides of similar triangles are proportional.
So 
So, Length of shorter tree = 7.2 feet .
Answer:
8. m=6
9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.
Step-by-step explanation:
Question 8:
2m-6=m
-2m -2m (subtract 2m from both sides)
<u>-6</u>=<u>-m</u>
- - (divide both sides by the negative)
m=6
Question 9:
<u>8x</u>=<u>16 </u> (divide both sides of the equation by 8)
8 8
x=2