Answer: 40000
Step-by-step explanation:
The formula to find the sample size is given by :-
, where p is the prior estimate of the population proportion.
Here we can see that the sample size is inversely proportion withe square of margin of error.
i.e. ![n\ \alpha\ \dfrac{1}{E^2}](https://tex.z-dn.net/?f=n%5C%20%5Calpha%5C%20%5Cdfrac%7B1%7D%7BE%5E2%7D)
By the equation inverse variation, we have
![n_1E_1^2=n_2E_2^2](https://tex.z-dn.net/?f=n_1E_1%5E2%3Dn_2E_2%5E2)
Given :
![n_1=1000](https://tex.z-dn.net/?f=n_1%3D1000)
![E_2=0.025](https://tex.z-dn.net/?f=E_2%3D0.025)
Then, we have
![(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000](https://tex.z-dn.net/?f=%281000%29%280.05%29%5E2%3Dn_2%280.025%29%5E2%5C%5C%5C%5C%5CRightarrow%5C%202.5%3D0.000625n_2%5C%5C%5C%5C%5CRightarrow%5C%20n_2%3D%5Cdfrac%7B2.5%7D%7B0.000625%7D%3D4000)
Hence, the sample size will now have to be 4000.
15/24
4 2/3=(4*3)+2/3=14/3
simply 15/24
15/3/24/3=5/8
refine
5/8*14/3
8 and 14 share a factor of 2
8/2=4
14/2=7
refine
5/4*7/3
5*7/4*3
35/12
convert to mixed number
35/12=2.11
2 11/12
the answer is 2 11/12
By cutting each corner we have that the resulting dimensions are:
27 - 2x
18 - 2x
Height = x
Therefore, the volume of the box in terms of the variable x, is given by:
V (x) = (x) * (27-2x) * (18-2x)
Answer:
The volume of the box in terms of x is:
(27-x) (18-x) x
Answer:
h = 2A/b
Step-by-step explanation:
multiply both sides by 2
2A = bh
divide both sides by b
2A/b = h