A science teacher wrote the table of values below.
2 answers:
Answer:
C. f(x)= log 1/x , x =/ 0.
Step-by-step explanation:
Given : A science teacher wrote the table of values below.
To find : Which function models the data in the table.
Solution : We have given table with x and f(x ).
We can see from table if x = then f(x) =1
By logarithm rule : log (10) = 1 , log (100) = 2.
Substitute the values of x in f(x)= .
If x = .
f(x)= .
We can write it f(x) = log(10) = 1
If x = .
f(x)= .
We can write it f(x) = log(100) = 2
Therefore, C. f(x)= log 1/x , x =/ 0.
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Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
The margin of error is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate is of , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at brainly.com/question/25890103