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Andrei [34K]
3 years ago
7

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 use all the facilities?
Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer: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

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

cricket20 [7]3 years ago
3 0
The answer is 97/125
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Answer:

C. –x + 8y = 56

Step-by-step explanation:

Write in standard form.

x  −  8 y  =  − 56

This is a linear function in the slope - intercept form:

y = m x + b and we need a standard form:

a x + b y = c

y = 1/8 x + 7   / * 8 ( we will multiply both sides of equation by 8 )

8 y = x + 56

- x + 8 y = 56  / * ( - 1 )

x - 8 y = - 56

The equation is  y = 1/8x + 7

Standard form equation is Ax + By = C,  where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

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3 years ago
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Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

\dfrac{1}{7} es pagado por mamá

\dfrac{2}{5} es pagado por el hermano mayor

La porción pagada por papá es

1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}

Esta cantidad pagada por papá es

350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160

Esta cantidad pagada por papá es $160.

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Answer:

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Step-by-step explanation:

Yes it is.

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