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SCORPION-xisa [38]
3 years ago
5

There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop

le use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

\frac{97}{125}

Step-by-step explanation:

As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

As shown in the diagram, 7 people do not use any of the facilities

Also, number of people who use gym and track=11+23+19+6+14+24=97

Hence P(a randomly selected person uses the gym and the track,but does not use the swimming pool)

=  \frac{97}{125}

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Step-by-step explanation:

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2 years ago
The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

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4 0
3 years ago
I Need Help Answer Plz I Need It Badly!!!
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3 0
3 years ago
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2 years ago
Simplify
ivolga24 [154]
The correct answer is:  [A]:  " \frac{8}{729} " .
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:

                  →    (\frac{2}{9})^3   

_________________________________________________________
Note the following property of exponents:
_________________________________________________________

( \frac{a}{b})^n  =  \frac{(a^n)}{(b^n)} ;  { b \neq0 } . 

_________________________________________________________
As such:

→  ( \frac{2}{9})^3  ;

                 
 =
\frac{2^3}{9^3} = \frac{(2*2*2)}{(9*9*9)} =  \frac{8}{729} .

_____________________________________________________________


The answer is:  
" \frac{8}{729} "  ; 

→  which is:  "Answer choice:  [A]:  " \frac{8}{729} " . 
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
  Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
     Best wishes!
5 0
3 years ago
Read 2 more answers
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