I have a feeling its the second one
Answer:
a) A sample size of 5615 is needed.
b) 0.012
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:

99.5% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that 






A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now
.
We have to find M.



Answer:
Which of the following best states why the Battle of Antietam was considered a turning point in the war?
Step-by-step explanation:
im smart∈∉∧¬∠⇅khvycgufykxd
It is called the hardy Ramanujan's number, named after the Indian mathematician, Srinivasa Ramanujan, and British Mathematician G. H Hardy.
Hardy went to visit Ramanujan while he was ill. He noticed that the number of the taxi he went in was 1729, which he thought was a dull number.
1729 = 12³ + 1³
1729 = 10³ + 9³
Fujiwara claimed that he proved there are only four numbers that have the property. Even though it seems to be true, he never has shown his proof. No other natural number, other than 1729, can be expressed as a sum of the cubes of two natural numbers in two different ways.