28 a survey of 150 students was taken. it was determined that $\frac{2}{3}$ of the students play video…

28 a survey of 150 students was taken. it was determined that $\frac{2}{3}$ of the students play video games. of the students that play video games, 85 also use social media. of the students that do not play video games, 20% do not use social media. complete the two - way frequency table.

Answer

Explanation:

Step1: Calculate number of students who play video games

The total number of students is 150, and the fraction of students who play video games is $\frac{2}{3}$. So the number of students who play video games is $150\times\frac{2}{3}=100$.

Step2: Calculate number of students who do not play video games

The number of students who do not play video games is $150 - 100=50$.

Step3: Calculate number of video - game - playing students who do not use social media

The number of video - game - playing students who use social media is 85. So the number of video - game - playing students who do not use social media is $100 - 85 = 15$.

Step4: Calculate number of non - video - game - playing students who do not use social media

The percentage of non - video - game - playing students who do not use social media is 20%. So the number of non - video - game - playing students who do not use social media is $50\times0.2 = 10$.

Step5: Calculate number of non - video - game - playing students who use social media

The number of non - video - game - playing students who use social media is $50-10 = 40$.

Step6: Calculate total number of students who use social media

The total number of students who use social media is $85 + 40=125$.

Step7: Calculate total number of students who do not use social media

The total number of students who do not use social media is $15 + 10=25$.

	Play Video Games	Do Not Play Video Games	Total
Social Media	85	40	125
No Social Media	15	10	25
Total	100	50	150

Answer:

	Play Video Games	Do Not Play Video Games	Total
Social Media	85	40	125
No Social Media	15	10	25
Total	100	50	150