Solution :
From the table,
Number of countries = 
Mean = 
Standard deviation = 
Margin of error of B = 50,000 acres
So we determine the 
and then allocate the four regions of 
and 
.
Under the 
, the 
for the value of 
which yields 
is given by :
Let us complete the numerator
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
= 625,000,000
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
![$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$](https://tex.z-dn.net/?f=%24n_1%3Dn%5Cleft%5B%5Cfrac%7BN_1%7D%7B%5Csum_%7BK%3D1%7D%5E%5Cmu%20N_K%7D%5Cright%5D%24)
![$=221\left[\frac{1052}{3056}\right]$](https://tex.z-dn.net/?f=%24%3D221%5Cleft%5B%5Cfrac%7B1052%7D%7B3056%7D%5Cright%5D%24)
≈ 76
![$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$](https://tex.z-dn.net/?f=%24n_2%3Dn%5Cleft%5B%5Cfrac%7BN_2%7D%7B%5Csum_%7BK%3D1%7D%5E%5Cmu%20N_K%7D%5Cright%5D%24)
![$=221\left[\frac{210}{3056}\right]$](https://tex.z-dn.net/?f=%24%3D221%5Cleft%5B%5Cfrac%7B210%7D%7B3056%7D%5Cright%5D%24)
≈ 15
![$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$](https://tex.z-dn.net/?f=%24n_3%3Dn%5Cleft%5B%5Cfrac%7BN_3%7D%7B%5Csum_%7BK%3D1%7D%5E%5Cmu%20N_K%7D%5Cright%5D%24)
![$=221\left[\frac{1376}{3056}\right]$](https://tex.z-dn.net/?f=%24%3D221%5Cleft%5B%5Cfrac%7B1376%7D%7B3056%7D%5Cright%5D%24)
≈ 100
![$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$](https://tex.z-dn.net/?f=%24n_4%3Dn%5Cleft%5B%5Cfrac%7BN_4%7D%7B%5Csum_%7BK%3D1%7D%5E%5Cmu%20N_K%7D%5Cright%5D%24)
![$=221\left[\frac{418}{3056}\right]$](https://tex.z-dn.net/?f=%24%3D221%5Cleft%5B%5Cfrac%7B418%7D%7B3056%7D%5Cright%5D%24)
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
Answer:
- Burgers - $8.29 and fries - $4.39
Step-by-step explanation:
<u>Let burgers - b, fries - f</u>
- 8b + 3f = 79.49
- 12b + 6f = 125.82
<u>Double the first equation and subtract the second equation:</u>
- 16b + 6f - 12b - 6f = 2(79.49) - 125.82
- 4b = 33.16
- b = 33.16/4
- b = 8.29
<u>Find f:</u>
- 8(8.29) + 3f = 79.49
- 3f = 79.49 - 66.32
- 3f = 13.17
- f = 13.17/3
- f = 4.39
Hello,
Here is your answer:
The proper answer to this question is "32/5".
Here is how:
All you need to do is divide 4/5 by 1/8!
4÷1=
5÷8=
Use kcf
4×8=32
5×1=5
Your answer is 32/5!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
No solutions.
Step-by-step explanation:
5x = 8x^-1/3
Divide 8 into both sides.
5/8x = x^-1/3
Divide both sides by x.
5/8 = x^-4/3
Multiply both sides by the exponent -3/4.
5/8^-3/4 = x
1.422624 = x
Plug in 1.422624 for x to check.
It does not work. There are no real solutions.
Answer:
x = 13
Step-by-step explanation:
For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.
4x - 7 = 45
Now consider the following. First, we must isolate the x term by adding 7 to both sides.
4x - 7 = 45
4x -7 +7 = 45 +7
4x = 52
Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.
4x = 52
(1/4) * 4x = 52 * (1/4)
x = 13
Hence, we have solved the equation 4x-7=45 where x=13.
Cheers.
