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3 years ago

7

Mateo was training for a triathlon (a multisport race which includes 1.5 km swim, 40 km bike ride and a 10 km run). His speed fo

r
swimming, biking, and running is 2 km/h 25 km/h, and 10 km/h, respectively
How long will it take Mateo to finish the race?
Give your answer in hours as a decimal.

1 answer:

Anna007 [38]3 years ago

5 0

Answer:

swimming: 0,75h

biking: 1,6h

running: 1h

Step-by-step explanation:

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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

3 years ago

Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top

attashe74 [19]

Answer: 5 1/2

Step-by-step explanation:

I took the test ig, but im not 100% sure

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3 years ago

Which graph is a function of X

pochemuha

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

8 0

3 years ago

What is the factored form of the polynomial ? X^2+9x+20

Blababa [14]

The answer is (x+4)(x+5)

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4 years ago

A cube has volume 1331 cm3.<br> Calculate the length of one edge of the cube.

ExtremeBDS [4]

^3/1331 = 11
11 x 11 x 11 = 1331

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4 years ago