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Andrej [43]
3 years ago
8

We have 50 video gamers who share information about their favorite games. 20 people say that Borderlands II is their favorite ga

me. 33 say their favorite game is Fortnite, while 19 declare Minecraft as their favorite game (note that a single person can have several favorite games). 15 people say that Borderlands and Fortnite are both favorites, while 10 say that both Borderlands and Minecraft are their favorites. Finally, 5 people declare all 3 of the games as their favorites. How many people declared Minecraft and Fortnite (exclusively) as their favorites?
Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

2 people

Step-by-step explanation:

Total number of people (n) = 50

Borderlands II (B) = 20

Fortnite (F) = 33

Minecraft (M) = 19

Borderlands and Fortnite (B&F) = 15

Borderlands and Minecraft (B&M)= 10

All games (B&M&F) = 5

The number of people that claimed more than one game as their favorite (X) is given by:

X=M+B+F-n\\X=19+20+33-50\\X=22\ people

Those people can be divided in B&F only, B&M only, M&F only and B&M&F:

X=(B\&M-B\&M\&F)+(B\&F-B\&M\&F)+(M\&F-B\&M\&F)+B\&M\&F\\X=B\&M+B\&F+M\&F-2*B\&M\&F\\22=10+15+M\&F-2*5\\M\&F=7\ people

7 people claimed that Minecraft and Fortnite were their favorites however, 5 of those people claimed all of the games as their favorite. Therefore, only 2 people declared Minecraft and Fortnite (exclusively) as their favorites.

Wittaler [7]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how
Kamila [148]

Answer:

14 students

Step-by-step explanation:

Given

Let:

b \to read a book

t \to watched TV

So, we have:

n = 50 -- total

b = 16

t = 41

none = 7

Required

Students that did both (x)

This is calculated using:

Total = Books\ only + TV\ only + Both + None

So, we have:

n = (b - x) + (t - x) + x + none

This gives:

50 = (16 - x) + (41 - x) + x + 7

Open brackets

50 = 16 - x + 41 - x + x + 7

50 = 16 - x + 41 +7

Collect like terms

x = 16 - 50 + 41 +7

x = 14

<em>Hence, 14 students did both</em>

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3 years ago
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gayaneshka [121]
The first one is wrong

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What percent of the players finished the walk in less than 2 hours? Show your work.
Kipish [7]

Answer:

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Step-by-step explanation:

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3 years ago
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3 years ago
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What is the probability that a student selected at random is a boy?
rjkz [21]

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31

8 0
3 years ago
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