Question
A survey asks: Which online services have you used in the last month:
- Twitter
- Facebook
- Have used both
The results show
have used both.
What percent of the people surveyed used neither Twitter nor Facebook?
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The results show
have used both.
What percent of the people surveyed used neither Twitter nor Facebook?
Question Help: Message instructor
: Calculator
Ask by Bolton Bowers. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
11% of the people surveyed used neither Twitter nor Facebook.
Solution
Let
Using the principle of inclusion and exclusion, the percentage of people who used at least one of the services is:
Finally, the percent of people who used neither service is:
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Simplify this solution Mind Expander
To find the percentage of people who used neither Twitter nor Facebook, we can apply the principle of inclusion-exclusion. First, let’s sum the individual percentages of Twitter and Facebook users and then subtract the percentage that have used both:
Used Twitter or Facebook = Percentage using Twitter + Percentage using Facebook - Percentage using both =
Now, to find the percentage of people who used neither service, we simply subtract the percentage of people who used at least one of the services from 100%:
Used neither =
Therefore, 11% of the people surveyed used neither Twitter nor Facebook.
