Question

1. the diagram below shows the types of computers students owned. how many students did not own both a desktop and a laptop computer? 2) the diagram below shows the attributes of flowers in a flower shop. how many flowers were red with thorns? 3) the diagram below shows the sports people watched. how many people watched soccer? 4) the diagram below shows the game consoles students owned. how many people owned both a ps4 and a xbox? 5) the diagram below shows the gender of students siblings. how many students did not have both a brother and a sister? 6) the diagram below shows the pets students in a class owned. how many people had a cat?

Explanation:

1)

Step1: Find total number of students

Total number of students is \(4 + 7+9=20\).

Step2: Find number of students who own both

Number of students who own both (intersection) is \(7\).

Step3: Calculate students who do not own both

Students who do not own both \(=4 + 9=13\).

2)

Step1: Identify the intersection

The intersection (red and thorns) is \(6\).

3)

Step1: Find number of people who watched soccer

Number of people who watched soccer is \(14+9 = 23\).

4)

Step1: Identify the intersection

The intersection (own both Ps4 and Xbox) is \(9\).

5)

Step1: Find total number of students

Total number of students is \(12+13 + 11=36\).

Step2: Find number of students who have both

Number of students who have both (intersection) is \(13\).

Step3: Calculate students who do not have both

Students who do not have both \(=12+11 = 23\).

6)

Step1: Find number of people who had a cat

Number of people who had a cat is \(6+19=25\).

Answer:

1. \(13\)
2. \(6\)
3. \(23\)
4. \(9\)
5. \(23\)
6. \(25\)