There are 130 people in a sports centre. 65 people use the gym 51 people use the swimming pool, 44 people use the track 15 people use the gym and the pool 14 people use the pool and the track 10 people use the gym and the track 1 person uses all 3 facilities A person is selected at random, what is the probability that this person doesn't use any facilities?

Answers

Answer 1

Answer:

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

G represents the set of people that use the gym.

P represents the set of people that use the swimming pool.

T represents the set of people that use the track.

Since 1 person uses the 3 facilities, it means that

Number of persons that use gym and pool only is 15 - 1 = 14

Number of persons that use pool and track only is 14 - 1 = 13

Number of persons that use gym and track only is 10 - 1 = 9

Number of persons that use gym only is

65 - (14 + 1 + 9) = 41

Number of persons that use pool only is

51 - (14 + 1 + 13) = 23

Number of persons that use track only is

44 - (9 + 1 + 13) = 21

N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that

41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130

122 + N = 130

N = 130 - 122

N = 8

Therefore, the probability that a person doesn't use any facilities is

8/130 = 0.062

There Are 130 People In A Sports Centre. 65 People Use The Gym 51 People Use The Swimming Pool, 44 People
Answer 2

 [tex]\frac{4}{65}[/tex] is the required probability.

What are sets?

A set is an unorganized well-defined collection of similar types of objects.

Eg : {1,2,3,4,5} or {Science, Maths, English}

How to solve?

Given:-

Total people (n) = 130

People using gym (G) = 65

People using swimming pool (P) = 51

People using track (T)  = 44

(Gym U pool) = 15

(pool U track) = 14

(Gym U track) = 10

(Gym U track U pool) = 1

Using venn diagram :

Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122

since total people are 130, non participants are 130 - 122 = 8

Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]

Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]

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There Are 130 People In A Sports Centre. 65 People Use The Gym 51 People Use The Swimming Pool, 44 People

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Answer part B (as part A is 75)

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Answer:

because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.

Work out 8 x
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Answer:

Answer is 80

Step-by-step explanation:

PEMDAS (Parentheses - Exponents - Multiplication - Division - Addition - Subtraction)

Do (3+7) first which equals 10.

Your equation is then simply 8 x 10 which is 80.

Answer:72

Step-by-step explanation:

8 × (3+7) can be written as 8 (3+7)

Now,simplify

8 (3+7)

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8×10

80 is the answer.

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Answer:

[tex] \frac{88}{7} units[/tex]

Step-by-step explanation:

Circumference of semi-circle=

[tex]\pi \: r[/tex]

[tex] \frac{22}{7} \times 4 \\ \frac{88}{7} [/tex]

A cube has a side length of inch. It would take blocks with a side length of inch to fill the cube. It would take blocks with a side length of inch to fill the cube.

Answers

Complete question:

A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.

B)It would take _ blocks with a side length of 1/9 inch to fill the cube.

Answer:

a) 8 blocks

b) 27 blocks

Step-by-step explanation:

Here we need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

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V =  [tex] (\frac{1}{3})^3[/tex]

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Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

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V = [tex] (\frac{1}{6})^3[/tex]

V = [tex] \frac{1}{216} [/tex]

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex]\frac{\frac{1}{27}}{\frac{1}{216}}[/tex]

[tex] = \frac{1}{27} * 216 [/tex]

= 8

It would take 8 blocks with a side length of 1/6 inch to fill the cube.

B) Here we also need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

Therefore,

V =  [tex] (\frac{1}{3})^3[/tex]

V = = [tex] \frac{1}{27}[/tex]

Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

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To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex] \frac{\frac{1}{27}}{\frac{1}{729}}[/tex]

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= 27

It would take 27 blocks with a side length of 1/9 inch to fill the cube.

what quadrilateral have all the attributes of rhombus ​

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Answer:

A rhombus and a square since a square is also a rhombus.

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Answers

Answer:

Mean: 35

Median: 31

Mode: 36.9 (If you round up), 36.8 (If you don't round up)

Step-by-step explanation:

Order the Data: 29, 30, 30, 31, 31, 35, 35, 35, 36

Mean: Average , sum all of your data and divided by how many scores are in your data. (From Math Notes I have)

332/9 = 36.9 (If you round up)

Median: Middle Score (From Math Notes I have)

In this case the Median is 31.

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In this case the Mode is 35.

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Answers

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Step-by-step explanation:

Two cities A and B

Both cities receive 11 inches of rainfall in total

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Therefore given the details above, total rainfall is best expressed using the equation ;

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。☆✼★ ━━━━━━━━━━━━━━  ☾  

Substitute the x and y values in:

p^2 + 3p - 5(2) = 0

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Factorise this:

(p - 2)(p + 5)

p = 2

p = -5

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Stay Brainly! ヅ    

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Answer:

x=6y

Step-by-step explanation:

I think this is right, sorry if it is not

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Answer:

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Answers

Step-by-step explanation:

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1/4 day = 20 emails

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Answers

Answer:

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Step-by-step explanation:

Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.

Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.

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Answers

Answer:

Step-by-step explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

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Step-by-step explanation:

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Answers

M = 3

....................

Answer:

m = 3

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10m = 10-5(m-7)

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Answer:

I believe its 990

Step-by-step explanation:

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Answer:

Step-by-step explanation:

This is a parallelogram

base = 11 in

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Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60 in the second hour, then another $72 in the third hour. If this pattern continues, what is the total amount of money he will raise if he stays for the entire competition?

Answers

Answer:

$786

Step-by-step explanation:

50, 60, 72

find the difference between the first and second hour earnings to get 10.

get the difference of the second and third to get 12.

we realize that they are in increasing with even numbers from 10 going further, ie, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

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A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet an a slant height of 12 feet. The wood used to build the walls of the playhouse costs $3 per square foot. What is the cost of the wood for the walls of the playhouse?

Answers

Answer: We just did these problems in my math class today! Ok, so you need to find the lateral surface area, or the area of the faces/walls. The formula for triangles is

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1/2•72

36

So now we know the area of one of the faces is 36inches^2, we can multiply that by 4, which is 144. 144•3($)= $432. To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face!

Step-by-step explanation:

Which of the following are valid probability distributions for a discrete random variable ?

Answers

It’s D I think. Since A and B are not random, C and E are not discrete

Answer:

A,B,D

Step-by-step explanation:

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1 1/4 +1 1/2 pls answer

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Answer:

the answer is 33/4

Step-by-step explanation:

11/2->22/4

11/4+22/4=33/4

Look at the attached picture

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In a recent election Corrine Brown received 13 comma 482 more votes than Bill Randall. If the total number of votes was 120 comma 306​, find the number of votes for each candidate.
Corrine Brown received
how many votes?

Answers

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

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(Attached is the statement and the choices)

This is the first box only!! Pls help!!! Giving 15-20 points!!!

Answers

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.


There are 1300 students in a school. 48% of them are female. How many are male?

Answers

Answer:

676

Step-by-step explanation:

First find what 48 percent of 1300 is

1300*0.48=624

Then subtract the number of females from the total number of students.

1300 student -624 females=676 males.

Hope that's clear :)

Answer:

[tex]676[/tex]

Step-by-step explanation:

48 % of students are female. so first we have to fine the percentage of male.

[tex]48\% = female \\ 100\% - 48\% = 52\% \\ 52\% = male[/tex]

Now lets fine how many male students are there.

[tex]1300 \times \frac{52}{100} = 676[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day !!

Najmo made $126 dollars 49 hours of work at the same rate how many hours would She have to work to make $168.

Answers

Answer:

126-49

168-

it will take more time so less under

so 168×126=21168

so 21168÷49=432

so 432 hours

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Answers

Step-by-step explanation:

this is the answer bro or sis.

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Answers

Answer:

1/2(15)(50 + 30)

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1/2(1200)

600m²

Step-by-step explanation:

Can you please help me with this question please is so hard and i will give you a Brainiest

Answers

Answer:

I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.

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Answer: about 10 kilograms

The lines below are perpendicular. If the slope of the green line is 3/2
what is
the slope of the red line? will give brainliest for correct answer ​

Answers

The slope of the red line is the "negative reciprocal" of the slope of the green line. So, it is -2/3

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Answers

Answer:

International - 984,200

Step-by-step explanation:

Nine hundred eighty four thousand and two hundred

Answer:

984,200

nine hundred eighty-four thousand two hundred

Step-by-step explanation:

remember that in numbers, you insert commas every three places(Place values)

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