Answer: The answer is B: 6
Step-by-step explanation:
3 times the square root of 36 is 18.
18 divided by the square root of 9 is equal to 6.
Using the z-distribution, it is found that a sample size of 3,385 is required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

The margin of error is:

In which:
is the sample proportion.
In this problem, we have a 98% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.327.
We have no prior estimate, hence
is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:





n = 3,385.
A sample size of 3,385 is required.
More can be learned about the z-distribution at brainly.com/question/25890103
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If 1/3x + 3 = x, then x-1/3 = 3
so
2/3 x = 3
x = 3 * 3/2 = 9/2
Answer:
;
,
.
Step-by-step explanation:
The resultant function is obtained by multiplying
by a real number
. That is:

If
and
, then
is:


Given that presence of the expression
, then:
and 
The value of a is obtained by applying the definition of logarithms:


Finally, the value of k is found by direct comparison:
