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zaharov [31]
3 years ago
7

There are 135 people in a sport centre.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

Answer:

\dfrac{1}{9}

Step-by-step explanation:

4 people use all three facilities, then

  • 16 - 4 = 12 people use the gym and the track and do not use the pool;
  • 9 - 4 = 5 people use the pool and the track and do not use the gym;
  • 19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

\dfrac{4}{36}=\dfrac{1}{9}

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Simplify the given expression. (16x^2 + 15xy – 19y^2) – (3x^2 – 3xy)
ruslelena [56]

Answer:

-19 y^2 + 18 x y + 13 x^2

Step-by-step explanation:

Simplify the following:

16 x^2 + 15 x y - 19 y^2 - (3 x^2 - 3 x y)

Factor 3 x out of 3 x^2 - 3 x y:

16 x^2 + 15 x y - 19 y^2 - 3 x (x - y)

-3 x (x - y) = 3 x y - 3 x^2:

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Grouping like terms, 16 x^2 + 15 x y - 19 y^2 - 3 x^2 + 3 x y = -19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2):

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16 x^2 - 3 x^2 = 13 x^2:

Answer:  -19 y^2 + 18 x y + 13 x^2

4 0
3 years ago
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Answer:

Step-by-step explanation:

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Add x to both sides, obtaining:

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