Answer:
76
Step-by-step explanation:
80 x 0.05 = 4
80 - 4 = 76
Yes, the square root of 19 is equal to 4.358898944
Answer: a) 1024, b) 1, c) 64 and d) 0.125.
Step-by-step explanation:
Since we have given that
(a) 
As we know that

So, it becomes,

(b) 
As we know that


c) 
As we know that

(d) ![[(8^{-1})(8^{\frac{2}{3}})]^3](https://tex.z-dn.net/?f=%5B%288%5E%7B-1%7D%29%288%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%29%5D%5E3)
As we know that
![[(8^{-1})(8^{\frac{2}{3}})]^3\\\\=[8^{-1+\frac{2}{3}}]^3\\\\=[8^{\frac{-1}{3}}]^3\\\\=8^{-1}\\\\=\dfrac{1}{8}=0.125](https://tex.z-dn.net/?f=%5B%288%5E%7B-1%7D%29%288%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%29%5D%5E3%5C%5C%5C%5C%3D%5B8%5E%7B-1%2B%5Cfrac%7B2%7D%7B3%7D%7D%5D%5E3%5C%5C%5C%5C%3D%5B8%5E%7B%5Cfrac%7B-1%7D%7B3%7D%7D%5D%5E3%5C%5C%5C%5C%3D8%5E%7B-1%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B8%7D%3D0.125)
Hence, a) 1024, b) 1, c) 64 and d) 0.125.
Answer:
We need a sample size of at least 271
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 5%
We need a sample size of at least n, in which n is found when 
We do not know the true proportion, so we use
, which is when we are going to need to use the largest sample size.






Rounding up
We need a sample size of at least 271