Mathematics, 28.01.2020 14:00 neariah24

Agroup 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.

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

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A. 53.8% of students like both reading and TV. Reason: If 90 people like TV and 20 of those people do not like reading, the other 70 must like reading. Since 40 people don't like TV we must have a total of 130 people (90+40). This means that of those 130 people 53.8% like both.

B. 23.1% of students do not like reading or TV. Reason: There are 130 total answers. We know that 70 of those people like both TV and reading (see answer A). Another 20 of those people like TV, but not reading. This leaves 40 people who either like reading but not tv or like neither. Looking at the chart, you can see that 40 people dislike TV, so this make sense. You can also see that 50 people dislike reading. This includes both the people who like TV and dislike reading and the people who dislike TV and reading. Taking out the 20 people who like TV, 30 people dislike both, meaning that the remaining 10 people like reading but not TV. If 30 out of 130 people like neither, the percentage is 23.1%.

Answer from: nunnielangley0

Part A: About 53.8% of the students like both reading and watching television. I know this because if you add up all the students surveyed then you get 130 (70 + 20 + 10 + 30 = 130). Then if you divide 70 ÷ 130 you get 0.538. The you multiply by 100, and you get 53.8%.

Part B: The probability would be 75%. I know this because if there is a total of 40 people that do not like watching TV and there are 30 that do not like reading and do not like watching TV either, Then you divide 30 ÷ 40 then you would get 0.75 then you multiply that by 100 to get an answer of 75%.

I Hope This Helps!

Answer from: Quest

false

step-by-step explanation:

false. two legs of the trapezoid would be congruent, but the other two would not. were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

Answer from: Quest

A. dividing 99 by 204 will tell you that 99 out of 204 of the people were females at the action movie.

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