Question

a survey of 100 college students was taken to determine where they got the news about whats going on in the world. of those surveyed, 41 got the news from news websites, 37 from social media, and 22 from both news websites and social media. construct a venn diagram and determine the cardinality for each region. use the completed venn diagram to answer the following questions.
how many got the news from only news websites?
n(news websites only) = 19
how many got the news from only social media?
n(social media only) = \square

Explanation:

Step1: Recall the formula for only one set

To find the number of students who got news from only social media, we use the formula: \( n(\text{Social media only}) = n(\text{Social media}) - n(\text{both News websites and Social media}) \)
We know \( n(\text{Social media}) = 37 \) and \( n(\text{both News websites and Social media}) = 22 \)

Step2: Calculate the value

Substitute the values into the formula: \( n(\text{Social media only}) = 37 - 22 \)
\( 37 - 22 = 15 \)

Answer:

15