(a)
To Find: The Venn diagram to show the results of the survey.
(a)
Answer to Problem 40PPS
The required Venn diagram is shown in Figure 2
Explanation of Solution
Given:
The travel agency survey 70 of the clients that visited Europe about the international travel of the 70 clients those who visited Europe, 60 had travelled to the England, France or both. Of those 60 clients, 45 visited England and 50 visited to the France.
Calculation:
Consider the Venn diagram shown in Figure 1
Figure 1
Consider the required system of equations is,
Then, add the first and the second equation and subtract the third equation from it this gives,
Substitute
Substitute
The required Venn diagram is shown in Figure 2
Figure 2
(b)
To Find: Thecompound statement to show the area of the Venn diagram that include the compound statement on the Venn diagram.
(b)
Answer to Problem 40PPS
The compound statement to show the area of the Venn diagram that include the compound statement on the Venn diagram is explained and the required Venn diagram is shown in Figure 3.
Explanation of Solution
Consider that the value of shows the number of client who visited the England and the client who visited France is represented by
The required Venn diagram is shown in Figure 3
Figure 3
(c)
To Find: The probability that a random chosen participant in the survey will have the visited both the England and France.
(c)
Answer to Problem 40PPS
The required probability is
Explanation of Solution
Since 35 of those surveyed have visited the England and France both and there are total of 70 survey participants, thus the probability that the randomly chosen client has visited both England and France is,
Chapter 2 Solutions
Geometry, Student Edition
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