To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.
The Minimum sample size table is attached below
Answer:

Step-by-step explanation:
From the question we are told that:
Confidence Interval 
Variance 
Generally going through the table the
Minimum sample size is

Thank you for posting your question here at brainly. To answer the above question,
First calculate the Joules (work done by Alexander), divide by 4.184 to get calories and then divide by 1000 to get kilocalories or Calories.
<span>201 lbs will be 90 kgs approx. And work done will be mgh = 90 x 10 x 5220 kg.m Double that for coming down.</span>
Lets Anna's age = A
Mr. Goldstein age = G
Mr. Goldstein is 4 times as old as his daughter Anna.
So G= 4A
In 4 years, he will be 3 times as old as Anna
we add 4 with Both their ages
G + 4 = three times of A + 4
G + 4= 3(A + 4)
We know G= 4A, replace it in above equation
4A + 4= 3(A + 4)
4A + 4= 3A + 12
Subtract 3A from both sides
A + 4 = 12
Subtract 4 from both sides
A = 8
So Anna's age = 8 years