Question

1. choosing a day of the week, then choosing a letter from the word math

use for questions 9-12: a group of students were asked if they have at least one sibling and at least one pet. of the students surveyed, 27 said they have a sibling and 24 students said they have a pet. of the students who said they had a sibling, 12 do not have pets.

1. complete the venn diagram to the right to represent the results of this survey.

(there is a venn diagram with two circles labeled sibling and pet.)

Explanation:

Step1: Find students with sibling and pet

Total students with sibling: 27. Students with sibling but no pet: 12. So students with sibling and pet: \( 27 - 12 = 15 \).

Step2: Find students with pet but no sibling

Total students with pet: 24. Students with pet and sibling: 15. So students with pet but no sibling: \( 24 - 15 = 9 \).

Step3: Fill Venn diagram

• Sibling only: 12 (given, no pet)
• Overlap (sibling and pet): 15 (calculated)
• Pet only: 9 (calculated)

Answer:

• Sibling only: 12
• Overlap: 15
• Pet only: 9 (Fill these values in the respective regions of the Venn diagram: 12 in the part of "Sibling" circle not overlapping, 15 in the overlapping region, 9 in the part of "Pet" circle not overlapping)