Answer:
We need a sample size of at least 369.
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:

For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample size is required?
We need a sample size of at least n.
n is found when
. So






Rounding up
We need a sample size of at least 369.
Perhaps it suffices to say that

converges to
as
, while
. Then

so
diverges.
Answer:
(1; 4/3)
Step-by-step explanation:
for coordinate 'x':
(-2+4+1)/3=1
for coordinate 'y':
(2+4-2)/3=4/3