Question content area top
Part 1
In a survey of students about favorite sports, the results include
24 who like tennis,
21 who like football,
10 who like tennis and football,
14 who like tennis and baseball,
15 who like football and baseball,
5 who like all three sports, and
4 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
Question content area bottom
Part 1
How many students like only tennis and football?
To determine the number of students who like only tennis and football, we need to subtract the number of students who like all three sports (5), the number of students who like tennis and baseball (14), and the number of students who like none of the sports (4) from the total number of students who like tennis and football (10).
So, the number of students who like only tennis and football is 10 - 5 - 14 - 4 = 10 - 23 = -13.
However, we cannot have a negative number of students, so it seems that there is an error in the given data or calculations.
A college survey was taken to determine where students study. Of
130 students surveyed,
85 studied in the
cafeteria,
66 studied in the
student union,
29 studied in both the
cafeteria and the
student union.
Of those interviewed how many did not study in either the
cafeteria or the
student union?
enter your response here
To find out how many students did not study in either the cafeteria or the student union, we first need to find the total number of students who studied in either the cafeteria or the student union.
From the given data, 85 students studied in the cafeteria, 66 students studied in the student union, and 29 students studied in both the cafeteria and the student union.
To find the total number of students who studied in either the cafeteria or the student union, we can add the number of students who studied in the cafeteria and the number of students who studied in the student union, and then subtract the number of students who studied in both.
So, the total number of students who studied in either the cafeteria or the student union is 85 + 66 - 29 = 122.
Now, to find the number of students who did not study in either the cafeteria or the student union, we can subtract this total from the total number of surveyed students.
So, 130 - 122 = 8.
Therefore, 8 students did not study in either the cafeteria or the student union.
Let D
={4,7,9}, E={4,6,7,8} and F={3,5,6,7,9}.List the elements in the set D∪ E.
D∪ E=
enter your response here
Use commas to separate answers.
To find the union of sets D and E, we take all the elements from both sets, without any repetitions.
D = {4, 7, 9}
E = {4, 6, 7, 8}
Taking the elements from both sets, the union of D and E is D∪E = {4, 7, 9, 6, 8}.
Therefore, D∪E = {4, 7, 9, 6, 8}.
Let D
={2,5,7}, E={2,4,5,6} and F={1,3,4,5,7}.List the elements in the set D ∪ E.
D ∪ E=
enter your response here
(Use commas to separate answers.)
To find the union of sets D and E, we take all the elements from both sets, without any repetitions.
D = {2, 5, 7}
E = {2, 4, 5, 6}
Taking the elements from both sets, the union of D and E is D ∪ E = {2, 4, 5, 6, 7}.
Therefore, D ∪ E = {2, 4, 5, 6, 7}.