A survey of 70 students from a high school is conducted. From this sample, it is found that 58 students have sent a text message
on their smartphone at least once today, 21 have uploaded at least one "selfie" on their smartphone today, and 12 have done both. Text Message Have Not Sent a Text Message Total
Have Taken a Selfie 12 21
Have Not Taken a Selfie
Total 58 70
Complete the rest of the two-way frequency table above. Part A: How many students have neither sent a text message nor taken a selfie today? Part B: What percentage of students in the school (rounded to the nearest whole percent) have sent a text message or have taken a selfie at least once today?
Number of students who have sent a text message only is given by the difference between those that have sent a text message and those that have done both. i.e. Number of students who has sent a text message only = 58 - 12 = 46
Number of students who have uploaded a selfie only is given by the
difference between those that have uploaded a selfie and those that
have done both. i.e. Number of students who have uploaded a selfie only = 21 - 12 = 9
The total number of students surveyed is 70. Let the number of students who have neither sent a text message nor taken a selfie today be x, then 46 + 9 + 12 + x = 70 67 + x = 70 x = 70 - 67 = 3
Therefore, 3 students neither sent a text message nor taken a selfie today.
The number of students that have sent a text message or have taken a selfie today is given by the sum of the number of students that have sent a text message and the number of students that have taken a selfie less the number of people that have done both. i.e. number of students that have sent a text message or have taken a selfie today = 58 + 21 - 12 = 67.
Let S=larger square side and s=smaller square side. The area between the larger and smaller is simple the larger area minus the smaller area. The area of any square being s^2. So our remaining area is:
