Question

a survey of 112 high school students determined whether they used instagram, twitter, or facebook. the provided information was determined
64 used instagram
60 used twitter
73 used facebook
31 used instagram and twitter
40 used instagram and facebook
39 used twitter and facebook
20 had all three features
complete parts a) through e)

a) how many of the students surveyed used only instagram?
13 (type a whole number )

b) how many of the students surveyed used instagram and twitter, but not facebook?
11 (type a whole number )

c) how many of the students surveyed used instagram or twitter?
93 (type a whole number.)

d) how many of the students students used instagram or twitter, but not facebook?
34 (type a whole number.)

e) how many of the students surveyed used exactly two of the social medias?
(type a whole number )

Explanation:

Step1: Find students using exactly two medias

To find the number of students using exactly two social medias, we calculate the number of students in each pair of medias minus those who use all three.

• For Instagram and Twitter only: \( 31 - 20 = 11 \)
• For Instagram and Facebook only: \( 40 - 20 = 20 \)
• For Twitter and Facebook only: \( 39 - 20 = 19 \)

Step2: Sum the above values

Now, sum these three values: \( 11 + 20 + 19 \)
\( 11 + 20 = 31 \), then \( 31 + 19 = 50 \)

Answer:

50