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Mathematics 12 Online
8bithelix:

1. A survery was taken of 36 people to see if they owned a car or a truck. the results are shown in the venn diagram: Car=15 both=4 truck=9 http://prntscr.com/jhvj93

8bithelix:

@Vocaloid

Hero:

\(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} & & &\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & & & \\ \hline \end{array}\)

Hero:

@8bithelix, so how many people participated in the survey?

8bithelix:

36

Hero:

Very Good, so we can put that amount here: \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} & & &\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & & & 36\\ \hline \end{array}\) So next, how many people own a car?

8bithelix:

15

Hero:

Excellent! \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} & & &\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & 15 & & 36\\ \hline \end{array}\) Next, how many people own a Truck?

8bithelix:

9

Hero:

Nice! \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} & & &9\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & 15 & & 36\\ \hline \end{array}\) How many people own both?

8bithelix:

4

Hero:

You got it! \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & &9\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & 15 & & 36\\ \hline \end{array}\) So the next step after that is to subtract the overall total from the known totals. To find how many people in total don't own a car, we subtract the number of people who do own a car from the number of people who participated in the survey. In other words, 36 - 15 = ?

Hero:

@8bithelix are you still here?

8bithelix:

yeah im sorry, 21 tho

Hero:

Correct \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & &9\\ \hline \text{Don't Own a Truck} & & & \\ \hline \text{Totals} & 15 &21 & 36\\ \hline \end{array}\) To find the total number of people who don't own a truck we subtract the total amount of people who own a truck, 9, from the total amount of people who participated in the survey, 36. In other words, 36 - 9 = ?

8bithelix:

27

Hero:

Yes, now we have: \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & &9\\ \hline \text{Don't Own a Truck} & & &27 \\ \hline \text{Totals} & 15 &21 & 36\\ \hline \end{array}\) To figure out how many people don't own a car, subtract the total amount of people that own a truck from the total amount of people who own both a truck and a car. In other words 9 - 4 = ?

8bithelix:

5

Hero:

Precisely: \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & 5 &9\\ \hline \text{Don't Own a Truck} & & &27 \\ \hline \text{Totals} & 15 &21 & 36\\ \hline \end{array}\) To find how many people don't own a truck, subtract the number of people who own both a truck and a car from the total amount of people who own a car. In other words 15 - 4 = ?

8bithelix:

11

Hero:

Yup! \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & 5 &9\\ \hline \text{Don't Own a Truck} & 11& &27 \\ \hline \text{Totals} & 15 &21 & 36\\ \hline \end{array}\) Finally, to find how many people don't own a truck or a car, we can either subtract the total amount of people who own a car but not a truck from the total amount of people who don't own a truck.(27 - 11 = ?) Or we can subtract the total amount of people own a truck but not a car from the total amount of people who Don't own a car. (21 - 5 = ?) Either way you get the same number.

8bithelix:

16

Hero:

Perfect! \(\begin{array}{ |c|c|c| } \hline & \text{Own a car} & \text{Don't Own a car} & \text{Totals}\\ \hline \text{Own a Truck} &4 & 5 &9\\ \hline \text{Don't Own a Truck} & 11&16 &27 \\ \hline \text{Totals} & 15 &21 & 36\\ \hline \end{array}\) Any questions?

8bithelix:

i have one question, the number selections. like 8 23 19 17 and 13 dont match up on the grid

Hero:

There should be a button to the left of those numbers that you can click to find the other numbers.

8bithelix:

i know but this is what i got so far, the rest of the ones i didnt complete contain the numbers that isn on the graph you did http://prntscr.com/jhwilu

8bithelix:

ill work on another subject until you get back at this

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