ANSWER:
mean:47.8
mode:57
median:45
37, 38, 43, 45, 57, 57, 58
To find population density, it is population / area.
The population is 6688, divided by the area of 16.
6688/16 = 418
So the population density is 418 people per sq mile.
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height 
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
![A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}](https://tex.z-dn.net/?f=A%20%3Dh%5E%7B2%7D%20%5B5-h%5E%7B2%7D%20%5D%3D5h%5E%7B2%7D%20-h%5E%7B4%7D)
For, A to be greatest ,

⇒ ![h[10-4h^{2} ]=0](https://tex.z-dn.net/?f=h%5B10-4h%5E%7B2%7D%20%5D%3D0)
⇒ 
⇒ 
Therefore, from equation (3), k = 5 - h²
⇒ 
Hence,
Width = 2h =√10 and
Height = 
Answer:
The sample proportion is 0.158.
Step-by-step explanation:
In a confidence interval of proportions, we have the lower bound and the upper bound of the interval. The sample proportion is the halfway points between these bounds, that is, the sum of these bounds divided by 2.
In this problem, we have that:
Lower bound: 0.142
Upper bound: 0.174
Sample proportion: (0.142+0.174)/2 = 0.158
The sample proportion is 0.158.
Step-by-step explanation:
1/2 is equal to R6.
So 2 halves mean R6+R6=R12
Or
R6×2= R12
Answer:R12