There are 100 people in a sport centre. 67 people use the gym. 62 people use the swimming pool. 56 people use the track. 38 people use the gym and the pool. 31 people use the pool and the track. 33 people use the gym and the track. 16 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?

Answers

Answer 1

Answer:

7/10

Step-by-step explanation:

For a person to use at least two of the facilities means they can use the three facilities as well.

Let n(U) be the total people in the sport centre = 100

n(G) be people that uses gym = 67

n(S) be people that uses swimming pool = 62

n(T) be people that uses track = 56

n(GnP) be gym and pool = 38

n(PnT) be people that use the pool and the track = 31

n(GnT) be people that use the gym and the track = 33

n(GnPnT) be people that use all three facilities = 16

People that uses gym and pool only = n(GnP) - n(GnPnT)

= 38-16

= 22

People that uses pool and track only = n(PnT) - n(GnPnT)

= 31-16

= 15

People that uses gym and track only = n(GnT) - n(GnPnT)

= 33-16

= 17

Total people that uses at least 2 facilities = 16+22+15+17 = 70

Probability that this person uses at least 2 facilities = Total people that uses at least 2 facilities/Total people in the sport centre

Probability that this person uses at least 2 facilities = 70/100 = 7/10


Related Questions

how do process you used for parts a and b differ ? how are they the same ?

Answers

Answer:

helppppppppppppppppppp

By his rich hcybhvtftvgnijtchvrxtb text

Write in your notebook each of the following rational numbers in decimal form:

a) -20/50
b) -30/12
c) 1/8
d) -3/2

I help me

Answers

Answer:

a) -0.4

b) 2.5

c) 0.125

d) 1.5

Step-by-step explanation:

Lines r and 8 are parallel lines cut by transversal t. Which of the following can be used to prove that
when a transversal crosses parallel lines, alternate interior angles are congruent?
24 23 and 2326; therefore 2426.
24/2 and 26: therefore 46.
2
4 3
5
241 and 126; therefore 4. 6.
ş
5 6
8 7
245 and/5 6: therefore4 6.
DORE
My Progress

Answers

Answer:

43

Step-by-step explanation:

What's 12+89+75+54+43+23=?
LOL!!!

Answers

Answer:

296

Step-by-step explanation:

the Tampa Bay Buccaneers completed 18 passes out of 40 attempts. the Chicago Bears completed 14 out of 29. Which team had the greatest fractional part of attempted passes completed ​

Answers

Answer:

Bears (sadly go bucks whoo)

Step-by-step explanation

Buck 0.45

Bears 0.487759

One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?

Answers

Answer:

15 hours

Step-by-step explanation:

By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.

$244.50/$16.30 = 15 hours.

Hope this helps!

Answer:

15 hours

Step-by-step explanation:

By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.

$244.50/$16.30 = 15 hours.

Hope this helps!

i'll make the person who solves this the brainlest Evaluate the expression:
-2 1/4 + 8 + (- 1 3/4 ) - 1

Answers

Answer:

3

Step-by-step explanation:

Convert to improper fraction then do the math from there

A model car kit is built to a scale of 1cm : 32cm. The length of the model car is 13 cm. What is the length of the actual car?

Answers

Answer:

I'm late but the answer is 416 cm

Step-by-step explanation:

If every cm of the model car equals 32 centimeters of the actual car, you would just multiply 13 by 32 and get 416

99/225 simplified to the lowst term

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

Answer:

11/25 the lowest this fraction can go.

the bird is 40 ft in the aircan a squirrel buries acorns 3 ft below ground how far are they apart ​

Answers

Answer:

43 ft apart

Step-by-step explanation:

They are forty feet apart, because the bird is 40ft away from the ground, and then there is an extra 3 feet below the ground, so you add them up to get 43 ft

Which statement that follows is true?

Answers

Answer:

=

Step-by-step explanation:

Can someone help me ASAP please 15 and 16

Answers

I don’t know number 15 but number 16 is $1.50
Explanation:
$6.50(2)=$ 13.00
$20.00(2)=$40.00
+$ 53.00
$53.00- $10.00 =$ 43.00
$44.50-$43.00= $1.50

Brainliest to the first CORRECT answer, Thanks

Answers

Answer:

28 inches

Step-by-step explanation:

P = 2 (a + b) = 2 · (6 + 8) = 28

[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}[/tex]

Answers

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1.    (0, -2) and (3, 0)

Step 1:    [tex]m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}[/tex]

Step 2:   [tex]y-0=\dfrac{2}{3}(x-3)[/tex]

                     [tex]y=\dfrac{2}{3}(x-3)[/tex]

                    [tex]\large\boxed{y=\dfrac{2}{3}x-2}[/tex]

2.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}[/tex]

Step 2:   [tex]y-(-3)=\dfrac{1}{2}(x-0)[/tex]

                     [tex]y+3=\dfrac{1}{2}x[/tex]

                            [tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]

3.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1[/tex]

Step 2:   [tex]y-3=1}(x-4)[/tex]

              [tex]y-3=x-4[/tex]

                   [tex]\large\boxed{y=x-1}[/tex]      

What is the slope of the line parallel to the line Y equals - 3X -8

Answers

Answer:

The slope is still -3x. (-3)

Step-by-step explanation:

If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.

What is the value of 5(-3)?

Answers

Answer. -15
Explanation. We know that a positive multiplied by a negative (or vice versa) equals a negative. If it’s confusing, you can even take out the negative and add it at the end. Remember, 1 negative means the answer is negative, 2 negatives means the answer is positive, and two positives are just positive (this is used for multiplication and division ONLY). So, to solve, 5•3 is 15, and just make it negative, -15!
good luck :)

*** hey can someone explain to me how to solve this question, thank youu

Answers

Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Which units are most appropriate for measuring the length of an edge of a postage stamp?
A. Centimeters
B. Feet
C. Kilometers
D. Yards

Answers

Answer:

A. Centimeters

Step-by-step explanation:

Option A) is correct.

Solution:

Centimeter is the most appropriate unit for measuring the length of an edge of a postage stamp because feet, kilometer and yards are use for measuring larger objects and edge of an postage stamp is very small in size.

For more information, refer the link given below

https://brainly.com/question/22059747?referrer=searchResults

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?

s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37

Answers

Answer:

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

       

Answer:

f(s)=0.004s+37

Step-by-step explanation:

Solve the following quadratic equation by factoring.

x^2 - 5x = 14

(Answers are in photo)

10 points!!!
Please explain how you got your answer.

Answers

Answer:

x = 7, -2

Step-by-step explanation:

Factor and set each factor equal to 0
Answer:  x = -2 or x = 7  (choice D)

==========================================

Work Shown:

x^2 - 5x = 14

x^2 - 5x - 14 = 0

(x-7)(x+2) = 0 .... this step is further explained below

x-7 = 0 or x+2 = 0

x = 7 or x = -2

The order of the solutions does not matter.

-------------------------

To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.

After a bit of guess work, you should find that -7 and 2 are the two values we're after

-7 + 2 = -5

-7 * 2 = -14

This is why x^2-5x-14 = (x-7)(x+2)

PLEASE ANSWER PLZZZ HELP
In which one of the following measured numbers are all of the zeros significant?

Group of answer choices

3,700,000

1.023700

0.0307

0.000120

Answers

0.0307 or what are you giving us here?

Ojos del Salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Peru and Chile, is about 8100 meters below sea level (at its lowest point).

a. What is the difference in elevations between Mount Ojos del Salado and the Atacama Trench?

b. Is the elevation halfway between the peak of Mount Ojos del Salado and the Atacama Trench above sea level or below sea level?

Explain without calculating the exact value. c. What elevation is halfway between the peak of Mount Ojos del Salado and the Atacama Trench?

Answers

A) add the two elevations together:

6900 + 8100 = 15,000 meters.

B) Divide the total distance by 2:

15,000 / 2 = 7,500 meters.

Because the distance to the halfway point is larger than the elevation of Ojos del Salado, the elevation would be below seal level.

C Add the halfway point from part B to the lowest elevation:

-8100 + 7500 = -600 meters

PLEASE HELP ME I DON'T UNDERSTAND SOMEONE PLEASE!!! Danielle can spend no more than $75 on clothes. She wants a pair of shoes for $40 and spends the rest on $12 scarves. Indetify the rate of change.

Answers

Answer:

She will have $23 left.

Step-by-step explanation:

F(X) = 2X -7 Find F(-1)

Answers

Answer:

f(-1)=-9

Step-by-step explanation:

f(x)=2x-7

f(-1)=2(-1)-7

f(-1)=-2-7

f(-1)=-9

3 Geometry problems. Please help!

Answers

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

4. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or postulate. Angle 1 is supplementary to angle 4. 9/11 v 1/5 2/6 10/12 b A 3/7 4 8 1 O || m by Converse of the Corresponding Angles postulate Oa || b by Converse of the Corresponding Angles Postulate Ollm by Converse of the Same-Side Exterior Angles Theorem Oa || b by Converse of the Same-Side Exterior Angles Theorem​

Answers

Answer:

Option (4)

Step-by-step explanation:

It has been given in the question that angle 1 is supplementary to angle 4.

m∠1 + m∠4 = 180°

∠2 and ∠3 are the interior consecutive angles.

Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".

Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.

Option (4) will be the answer.

Margaret drank 1/6 of a 36oz. Bottle of soda. She gives the rest of the bottle to her friend Jamie who drinks 2/3 of the soda in the bottle. Jamie then gives the rest of the bottle to her friend Taylor. How much soda is left in the bottle when Taylor gets it? Group of answer choices

Answers

Answer:

The amount of soda that is left in the bottle when Taylor get it is 1/6 = 6 oz of soda.

Step-by-step explanation:

Let the total quantity of soda left in the bottle be represented by 1

Total quantity of the bottle = Fraction of what( Margaret + Jamie + Taylor) drank

Margaret drank = 1/6 of the soda

= 1 - 1/6

= 5/6 of soda is left

Jamie drank = 2/3 of what is left

= 5/6 - 2/3

LCM of denominators = 6

= 5 - 4/6

= 1/6

Hence, what is left is 1/6 of the soda.

The size of the soda = 36 oz

1/6 × 36oz

= 6 oz

This means the amount of soda that is left in the bottle when Taylor get it is 6 oz of soda.

can you please solve this

Answers

Answer:

D

Step-by-step explanation:

9pi is 28.27 which is greater than 27.

Plz help me with this I have no idea what to do

Answers

f(5)=-1 because if you go over 5 on the x- axis and down 1 on the y-axis there is a point

½(10x - 18) - 13x = -2x + 7 - 6x
I linked a photo

Answers

Answer:

no solutions

Step-by-step explanation:

½(10x - 18) - 13x = -2x + 7 - 6x

Distribute

5x -9 -13x = -2x +7 -6x

Combine like terms

-8x -9 = -8x+7

Add 8x to each side

-8x -9 +8x = -8x+7+9x

-9 = 7

This is never true so there are no solutions

There is no solution to the problem.
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