This is for math to get my grade up. PLEASE HELP ASAP

A group of college students were asked about their TV watching habits. Of those surveyed, 28 students watch The Walking Dead, 19

rusak2 [61]

Answer:

39 of the students surveyed watched at least one of the shows.

Step-by-step explanation:

We can solve this question building the Venn's Diagram of these sets.

I am going to say that:

A are those who watch The Walking Dead.

B are those who watch The Blacklist.

C are those who watch Game of Thrones.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those who only watch The Walking Dead, $A \cap B$ are those who watch The Walking Dead and The Blacklist, but not Game of Thrones, $A \cap C$ are those who watch The Walking Dead and Game of Thrones, but not The Blacklist, and $A \cap B \cap C$ are those who watch all three of these shows.

By the same logic, we also have that:

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

How many students surveyed watched at least one of the shows?

This is

$T = a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

We have to find these values, starting from the intersection of A, B and C.

8 students who watch all three shows.

This means that

$A \cap B \cap C = 8$

10 watch The Blacklist and Game of Thrones.

This also includes those who watch all three shows. So

$(B \cap C) + (A \cap B \cap C) = 10$

$(B \cap C) = 2$

14 watch The Walking Dead and Game of Thrones

This also includes those who watch all three shows. So

$(A \cap C) + (A \cap B \cap C) = 14$

$(A \cap C) = 6$

16 watch The Walking Dead and The Blacklist

This also includes those who watch all three shows. So

$(A \cap B) + (A \cap B \cap C) = 16$

$(A \cap B) = 8$

24 watch Game of Thrones.

This means that $C = 24$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$24 = c + 6 + 2 + 8$

$c = 8$

19 watch The Blacklist

This means that $B = 19$

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$19 = b + 8 + 2 + 8$

$b = 1$

28 students watch The Walking Dead

This means that $A = 28$

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$28 = a + 8 + 6 + 8$

$a = 6$

Finally

$T = a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$T = 6 + 1 + 8 + 8 + 6 + 2 + 8$

$T = 39$

39 of the students surveyed watched at least one of the shows.

5 0

4 years ago

Find the value of the following expression:

AleksandrR [38]

Answer:

why such complicated questions.....?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Do (12 + 6) ÷ 2 and 12 + 6 ÷ 2 have the same answer? explain why.

Oxana [17]

I believe so because if you were to work them out it would give you the same answer. the parentheses don't make the probably different since it doesn't have an exponent. so they are not needed

3 0

4 years ago

Read 2 more answers

Describe this translation.

Jet001 [13]

Answer:

D(4 units right, 2 up)

Step-by-step explanation:

You must pick a point which does not have an apostrophe. Then you see how which direction is goes (e.g left or right) and then you see the height (up and down) and combining all this the answer would be 4 units right, 2 up

3 0

3 years ago

What is the probability of randomly selecting an odd number from the numbers 1 -15?

Scilla [17]

Answer:

7/15

Step-by-step explanation:

So basically, you need to count the numbers (3,5,7,9,11,13,15) those are 7 numbers in total, so that's 7/15, if you want a percentage its 47% (rounded)

7 0

4 years ago