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.\n| |play video games|do not play video games|total|\n|--|--|--|--|\n|social media| | | |\n|no social media| | | |\n|total| | | |

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.\n| |play video games|do not play video games|total|\n|--|--|--|--|\n|social media| | | |\n|no social media| | | |\n|total| | | |

Answer

Explanation:

Step1: Calculate number of students who play video games

The total number of students is 150, and the number of students who play video games is $\frac{2}{3}\times150 = 100$.

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 non - video - game - playing students who do not use social media

Since 20% of the students who do not play video games do not use social media, the number is $0.2\times50 = 10$.

Step4: 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 $50-10 = 40$.

Step5: 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 $100 - 85=15$.

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