There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 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?

Answers

Answer 1

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

Answer 2

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

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Related Questions

what is the slope of the line?

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The slope of the line is -(1/2)

what is 18/15 in lowest terms

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Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 18 and 15 is 3.

18 ÷ 315 ÷ 3.

Reduced fraction: 65. Therefore, 18/15 simplified to lowest terms is 6/5.

Another one for you guys

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Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

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The answer is Function A. This is because Function A has a higher y-intercept than Function B. #brainliest

5x+3y=17 x+y=4 substitution

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Group the xs and the ys, 17+5= 22x 3+1=4y so y=4 and x=22.

The ratio of girls to boys who like sports is 5 to 8 at GW Middle School. There are 100 girls at GW Middle School. What is the total number of students who like sports at GW Middle School?

Answers

Answer:

260 students like sports

Step-by-step explanation:

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Which expression can be used to find the product of 57 x 44?

Answers

Answer:2508

Step-by-step explanation:

Please answer number 3???

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when given the scale factor, just multiply!
8cm * 2.5 = 20cm per side
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Answer 1 and 2 seriously please.​

Answers

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two

hundredths; 81.72

thousandths; 81.73

thousandths; 81.72

hundredths; 81.73

Answers

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

Recommendations Skill plans A Math FL Standards Algebra 1 > J.10 Solve one-step and two-step equations: word problems UFG You have prize On a sunny fall day, Raymond and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs 20 pounds. In all, Raymond's family picks 44 pounds of apples. Which equation can you use to find the weight w of the Golden Delicious apples? W + 20 = 44 20w = 44 W - 20 = 44 = 44 20 Solve this equation for w to find the weight of the Golden Delicious apples. pounds Submit​

Answers

(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

Let the weight of the Golden Delicious apples = WWeight of the Honeycrisp apples = 20 lbTotal weight of the apples = 44 lb

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

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The perimeter of a rectangular field is 336 m.
If the width of the field is 74m, what is its length?

Answers

Answer:

94 m

Step-by-step explanation:

Perimeter = 2(l + W)

336=2(74 + L)

336/2=74+L

168-74=L

L=94 m

will give brainliest plz help

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4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?

Answers

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]

please help me with math !!

the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.

a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.​

Answers

Answer:

a) x = 4b) y = 1.25x + 15c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

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c) The x-intercept is determined at y = 0:

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Yuki bought a pound of confetti for \$12$12dollar sign, 12. What is the price, in dollars, per ounce of confetti

Answers

12 dollars he bought pound confetti the answer is 12 dollars

A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?

Answers

Answer:

4

Step-by-step explanation:

Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.

edit : im not american and have little knowledge of how much each are worth

−4x + 3y =7
5x − 2y =35
What is the solution?

Answers

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

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-8x+6y=14

15x-6y=105

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Plug in x into the first equation to solve for y.

-8x+6y=14

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help please

Answers

Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

Find the value of x when 6-2x =5x-9x+16The value of x is

Answers

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5


Ok done. Thank to me :>

What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

You can use slope formula (y - y)/(x - x) and you will get a zero on the bottom (never allowed) OR notice that the x's are the same so sketch a graph, the line is vertical...that means that slope is undefined.

What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4 ​ ?

Answers

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

I need help with solving a system of equations using elimination

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Answer:

do it your self.

Step-by-step explanation:

5 MINUTES to answer pls help.

20 Points

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %

Answers

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

How to work with percentages?

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

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What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?

Answers

The angel formed is 45 degrees

what is x and what is y?

Answers

Step-by-step explanation:

i hope the illustrations are clear

Which graph represents an even function?

Answers

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

What is a even function?

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

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Write an equation in slope intercept form plz help

Answers

The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

[tex]y = - x + 4[/tex]

Answer:

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

Mathematic 20 don’t understand

Answers

Answer:          

8.8 x 10 to the 9th power

Step-by-step explanation:

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