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dimaraw [331]
3 years ago
13

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

le use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?
Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

\frac{11}{87}

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> \frac{11}{87}

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3 years ago
cole spent $55.00 buying songs and movies at an online store that charges $1.25 for each song and $2.75 for each movie. He purch
Sergeu [11.5K]
If you would like to write and solve a system of equations that represent the situation above, you can do this using the following steps:

s ... number of songs
m ... number of movies

$55.00 = $1.25 * s + $2.75 * m
55 = 1.25 * s + 2.75 * m

26 songs and movies = s + m
26 = s + m
s = 26 - m

55 = 1.25 * s + 2.75 * m
55 = 1.25 * (26 - m) + 2.75 * m
55 = 1.25 * 26 - 1.25 * m + 2.75 * m
55 - 32.5 = 1.5 * m
22.5 = 1.5 * m
m = 22.5 / 1.5 = 15 movies

s = 26 - m = 26 - 15 = 11 songs

The correct result would be 15 movies and 11 songs.
6 0
3 years ago
Identify the errors made in the finding the inverse of y= x^2 +12x
alex41 [277]

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

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5 0
3 years ago
How many times smaller is 4 x 10−7 than 3.5 x 10−4?
Tcecarenko [31]

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

<h3>What is the arithmetic operator?</h3>

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

7 0
2 years ago
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Which of the sets of ordered pairs represents a function?
Aloiza [94]
*only p*
because there are no two digits the same in the x and y values
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