Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.

2 answers:

6 0

$A \cup B$ indicates you want the UNION of sets A and B. So just make a list of elements that are in either set ("put all the elements into one 'box'"). Elements are listed only once; example: a is in both sets, so put it in the union only once.

Answer: the 3rd choice, {a, b, e, g, i, l, o, r, u}

mezya [45]3 years ago

3 0

A={a,e,i,o,u} B={a,l,g,e,b.r}

A ∪ B = {a,e,i,o,u,l,g,b,r}

For any element ∈ A and B, you choose it once

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What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that

AlladinOne [14]

This question is incomplete.

The complete question says;

The two-way table shows the number of hours students studied and whether they studied independently or with a study group.

What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?

a) 0.4 c) 0.25

b) 0.33 d) 0.11

Table is attached as image

Answer: C (0.25)

The number of students that studied for more than 2 hours as given in the table are 4.

The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.

Those that studied less than 2 hours independently are 12.

Those that studied more than 2 hours independently are 4.

Hence the total number of people that studied independently is 16.

Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.