Using sampling concepts, it is found that the correct option regarding if this is a random sample is given by:
Yes, because the slips of paper were all the same shape and size.
<h3>How are samples classified?</h3>
Samples may be classified as:
- Convenient: Drawn from a conveniently available pool.
- Random: All the options into a hat and drawn some of them.
- Systematic: Every kth element is taken.
- Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
- Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.
In this problem, since the slips have the same shape and size, each name has an equal probability of being chosen, hence it is a random sample and the correct option is:
Yes, because the slips of paper were all the same shape and size.
More can be learned about sampling concepts at brainly.com/question/25122507
<h3>
Answer:</h3>

<h3>
Explanation:</h3>
Change
so that is has a common denominator. 
Make an equation. 
Add. 
Add. 
Divide both sides by 2. 
Convert to a mixed number. 
Answer:
0.4
Step-by-step explanation:
100(0.4)=40
Let the numerator = x. Then,
The fraction is x/(3x+4).
If both the numerator and denominator are increased by 4, the fraction will be (x+4)/(3x+8), which, according to the question is equal to 9/25. So,
(x+4)/(3x+8) = 9/25
25(x+4) = 9(3x+8)
25x + 100 = 27x + 72
2x = 28
x = 14
Thus, the numerator is 14 and the denominator is (3*14 + 4), which is equal to 46. So the fraction is 14/46.