Respuesta :
Answer: x=55
Step-by-step explanation:
To find the value of x, we need to analyze the given information step by step. Let's break it down:
1. Total number of people surveyed: 100
2. Number of people who watch nothing: 5
3. Number of people who watch football matches: 28
4. Number of people who watch both Dominic films and football matches: 20
5. Number of people who watch news and football matches: 25
6. Number of people who watch Dominic films and news: 15
To find the value of x, we need to determine the number of people who watch all three programs: news, football matches, and Dominic films.
We can start by adding up the numbers of people who watch football matches and Dominic films (28 + 20 = 48). However, this number includes some people who also watch news and football matches, as well as people who watch Dominic films and news. So, we need to subtract those overlapping numbers.
To calculate the overlapping numbers, we can add the number of people who watch news and football matches (25) and the number of people who watch Dominic films and news (15). This gives us a total of 40.
Subtracting the overlapping numbers from the total number of people who watch football matches and Dominic films (48 - 40 = 8), we find that there are 8 people who watch both football matches and Dominic films only.
Now, we can subtract the number of people who watch nothing (5), the number of people who watch football matches only (28 - 8 = 20), and the number of people who watch Dominic films only (20 - 8 = 12) from the total number of people surveyed (100).
So, the value of x, the number of people who watch all three programs, is:
100 - 5 - 20 - 12 - 8 = 55
Therefore, the value of x is 55.
