a group of students were surveyed to find out if they like watching television or reading during their free time. the results of the survey are shown below:

90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television

make a two-way table to represent the data and use the table to answer the following questions.

part a: what percentage of the total students surveyed like both watching television and reading? show your work. (5 points)

part b: what is the probability that a student who does not like watching television also does not like reading? explain your answer. (5 points)

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

the answer would be c:   ax + b = ax + c

step-by-step explanation: