21 people travelled to a meeting.
12 used a train.
6 used a car.
7 did not use a train or a car.
Some used a train and a car.


Two people are chosen at random from those who used a train.
Find the probability that both these people also used a car.

Answers

Answer 1

Answer:

answer = 1/11

Step-by-step explanation:

21 People Travelled To A Meeting.12 Used A Train.6 Used A Car.7 Did Not Use A Train Or A Car.Some Used
Answer 2

The addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

The probability that both these people also used a car given that both of them use a train is 1/11.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of people who used the train and the car.

P (T U C) = 21 - 7 = 14

P(T) = Probability of the number of people who used the train = 12

P(C) = Probability of the number of people who used the car = 6

From the addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

14 = 12 + 6 - P(T ∩ C)

P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4

Now,

Two people are chosen.

P(C/T):

= P(T ∩ C) / P(T)

= [tex]^4C_2[/tex] / [tex]^{12}C_2[/tex]

= (4 x 3 / 2) / (12 x 11 / 2)

= 6 / 6 x 11

= 1/11

Thus,

The probability that both these people also used a car given that both of them use a train is 1/11.

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Related Questions

Solve w=x/y-x for x.

Answers

Answer:

Rewrite the equation as x+xyz=wx+xyz=w.

x+xyz=wx+xyz=w

Subtract xx from both sides of the equation.

xyz=w−xxyz=w-x

Divide each term by xzxz and simplif

In an examination of final year students of a school, 60 offered history, 50 offered economics, and 48 literature. 30 offered history and economics 16 offered history and literature, 22 offered economics and literature. If 10 candidates offered all the 3 subjects find the number that offered:

1)

a) History only

b) Economics only

c) Literature only

2) How many candidates sat for the examination assuming that each candidate sat for at least one subject.

REPRESENT IN VENN DIAGRAM

Answers

Answer:

Step-by-step explanation:History(H),Economics(E),Literature(L)

1a).To find History(H) only is

H only =H-HE-HL+HEL

H only =60-30-16+10=24

b).E only=50-30-22+10=8

c). L only=48-22-16+10=20

2).no of candidates who sat for the exam is 24+8+20=52

"In an examination of final year students of a school, 60 offered history, 50 offered economics, and 48 literature." The Vein diagram is attached below.

What is a Vein diagram?

A Venn diagram is a diagram that utilizes circles to demonstrate the similarities and contrasts between two or more items.

Generally, the equation for History students only is mathematically given as

HisO=His-His Eco-His Lie+HisEcoLie

Therefore

HisO=60-30-16+10

HisO=24

EcoO=50-30-22+10

EcoO=8

LieO=48-22-16+10

LieO=20

In conclusion, candidates that sat for at least one subject

At least HEL= 24+8+20

At least HEL=52

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help if your good at maths ​

Answers

Answer:

[tex]\frac{1}{p-s}[/tex]

Step-by-step explanation:

[tex](p+s)(p^2-s^2)^{-1}[/tex]

[tex](p+s)\frac{1}{(p^2-s^2)}[/tex]

[tex]\frac{p+s}{p^2-s^2}[/tex]

[tex]\frac{p+s}{(p+s)(p-s)}[/tex]

[tex]\frac{1}{p-s}[/tex]

Factorise
x2 - 9x - 36

Answers

Answer:

-7x - 36

Step-by-step explanation:

x X 2 - 9 x X - 36

2x - 9x - 36

Answer:

( x + 3 ) ( x - 12 )

Step-by-step explanation:

x^2 - 9x - 36

= x^2 + 3x - 12x - 36

= x ( x + 3 ) - 12 ( x + 3 )

= ( x + 3 ) ( x - 12 )

What is the LCM for 12 and 14 step by step Ladder method or factors method

Answers

12, 24, 36 , 48, 60, 72, 84

14, 28, 42, 56, 70, 84
The LCM is 84
The LCM for 12 and 14 would be 2

1. 12|14
2. 6 | 7
3. 4 | (none)
4. 3 | (none)
5. (none) | (none)
6. 2 | (none)
7. (none) | 2

use the equation below to find y,if m=4,x=5, and b=9. y=mx-b

Answers

Step-by-step explanation:

Y=4(5)-9

=11

you must follow the formula given

Answer:

y=11

Step-by-step explanation:

y=mx-b

mx-b=y

4 * 5 - 9 = y

20 - 9 = y

11 = y

What is the slope of this line? −2/3 2/3 3/2 I don't know. Graph of a line on coordinate plane. Axes are labeled x and y. Three points are shown, labeled with ordered pairs 2 comma 3, 5 comma 5, and 8 comma 7. The line passes through these three points.

Answers

Answer:

2/3 is your answer

Step-by-step explanation:

Hope this helps

P.S.(from k12)

The slope of the line is 2/3.

Here,

Graph of a line on coordinate plane. Axes are labeled x and y.

Three points are with ordered pairs (2, 3), (5, 5), and (8, 7) and the line passes through these three points.

We have to find the slope of the line.

What is the slope of the line?

Let two points (x₁, y₁) and (x₂, y₂) are on the line, then slope of the line is calculated as;

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Now,

Three points are passes through the line are (2, 3), (5, 5), and (8, 7).

To find the slope, Let any two point from three given points.

Let (2, 3) and (5, 5) on the line.

Hence, Slope is calculated as,

⇒ [tex]m = \frac{5-3}{5-2} = \frac{2}{3}[/tex]

Therefore, The slope of the line is 2/3.

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I just need the answers

Answers

Answer:

Sana makatulong

3 In a class of 52 students, 16 are science students. If I of the boys and I of the girls are science students, how many boys are in the class?​

Answers

Answer: So group 3 of 16 contains 2 are boys . Means 16 +16 are tow groups are of boys. Then remaining 16 are girls. It completed the all conditions. 2/3 class retio. Total 48 students and 16 girls.

Step-by-step explanation:

Hope this helps!

Reduce 40/100 please helppp

Answers

Answer:

2/5

Step-by-step explanation:

40 and 100 can both be divided by 20. 40 divided by 20 equals 2 and 100 divided by 20 equals 5

Answer:

2/5 (0.4)

Step-by-step explanation:

We can reduce this by first looking at the fraction. [tex]\frac{40}{100}[/tex]

We can first divide by 10 on both sides to get a better number: [tex]\frac{4}{10}[/tex]

We can simplify both by 2 since thats another common number: [tex]\frac{2}{5}[/tex]

That is the most we can go to!

If this answer helped, consider marking this as brainliest!

Cheers!

[tex]\sqrt{25} =5[/tex]

Answers

This is correct, since 5•5 =25. So the square root of 25 would be 5.
yh that’s correct 5x5=25

HELPPP MY MATH HOMEWORK!!!

Answers

D and then A I would say

I dont know how to answer number 12 but number 13 is the first one 3x + 15 = 17

Ramiro rode his bike for (1 1/2 ) miles in 1/7 hour. The number of miles Ramiro biked in 1 hour is?
1/5 miles
5 miles
10.5 miles
9.5 miles

Answers

The answer is 9.5 miles

Today every thing at a store is on sale. The store offers a 20% discount. Write an equation to represent how much someone would pay

Answers

Answer:

P=0.8x

This is because 1-0.2=0.8

HI PLEASE ANSWER BEFORE 12:00a.m. EST

Answers

Answer:

D

Step-by-step explanation:

Amanda's unit rate would be

s=50m

while Mary's is

s=60m

60-50 is 10, meaning the answer would be D.

Mary saves $10 more than Amanda every month.

Hope this helps! :)

Hi there!

We can find an equation that models Amanda's savings using the equation:

y = km, where:

k = rise / run (Amount/months)

Plug in a set of values from the table:

k = 100/2 = 50

y = 50m

We know that Mary saves y = 60m dollars a month, so we can determine the correct comparison by plugging in a value of 1 month into both equations:

Amanda:

y = 50(1) = $50

Mary:

y = 60(1) = $60

The difference between Mary's and Amanda's savings is $60 - $50 = $10, so each month, Mary saves $10 more than Amanda.

The correct answer is D.

340,250 rounded to the nearest thousand?

Answers

Answer:

340,000

Step-by-step explanation:

Answer:

340,000

Step-by-step explanation:

in 340,250, you would round down because the 2 in ,250 is less than 5, and you can only round up if the number is more than 5.

1. Jasmine has two more than five times the number of books that Steven has. She has at
least 15 books.
x= how many books Steven has
Write out inequality

Answers

j: 5x+2 = 15

BTW: the equal is with the < sign as it is AT LEAST 15, so it can be potentially more

Between which two values is the square root of 75?

Answers

Answer:

Between 8 and 9

Step-by-step explanation:

Square root of 75 is 8.66025403784

Pls help me will pay $

Answers

Answer:

1.2 or 1.22 (Doesn't matter)

Step-by-step explanation:

parallel to y = -2/5 and passes through 2, -8

Answers

Answer:

y = -8

Step-by-step explanation:

When y = -2/5, the slope is 0.

Seeing this, we can make the equation the same as the y-value of the point given.

Hence,

y = -8

Feel free to mark this as brainliest! :D

The answer to this question is =-8

At 12 noon if the temperature is 38°C and if it decreases at the rate of 2°C per hour, then what would be the temperature at 5pm?​

Answers

Answer:

38-2(5) = 28

So the temperature would be 28 degrees celsius

Answer: Teperature at 5PM will be 28°C

Ok so at 12 its 38°C

And it dcreases at 2°C an hour, we need to find the teperature at 5 o clock.

The number of hours between 12 and 5 mutiplied by 2 will give us the trail in temperature and then subtracting the trail i temperature witht the temperature a 12 will give us the teperature at 5 o clock.

SO,

hours between 12 PM and 5 PM is 5 hours

As, the temperature decreases at a uniform rate of 2°c per hour

⇒5×2°C

⇒10°C

Now the temperature at 5 PM will be 38°C-10°C=28°C

Airfare from Atlanta,GA to Nashville,TN was decreased from $250 to $180.By what percentage did the cost of the airfare change?

Answers

Answer:

percentage cost of airfare change= (difference in cost / original cost )×100

% age = (250-180/ 250) ×100

=70/250 ×100

7000/250

= 28%


Error Analysis Jessie incorrectly said the rate
1/6 / 1/24
can be written as the unit rate
gallon
1/144
pound per gallon. What is the correct unit rate? What was Jessie's likely error?

Answers

Answer:

4

Step-by-step explanation:

she multiplied 6x24, got 144 and said 1/144

May I please receive help?

Answers

Answer:

3

Step-by-step explanation:

(-3/4) (-4/7) (-2/3) = ??

(-2/3) (-3/4) (4/5) = ??

(2/3) (-9/10) (5/6) = ??

answer has to be a fraction

Answers

Answer:

Step-by-step explanation:

2/5 và -1/2

Use calculator! And see if the answer is correct
I am finding trouble in it tooo

3.Using the picture at the right, write the theorem that proves lines are parallel.
PI
a. If 21 = 26, then 1||m based on
b. If 23 + 25 = 180, then 1||m based on

Answers

Answer:

2d=180based on the 3d parallel =to 0xyc⁶=12(0)

please answer this question

Answers

Domain in numerical order: {-7, -1, 0, 1}

Range in numerical order: {-1, 0, 1, 2, 7}

Which number is not part of the range of this relation? = -7

Hope this helps!

Find the domain and range of each function

Answers

Answer:

Loading,please wait...

Step-by-step explanation:


Order|2.25|| –1,5), 2, 2, and -2 from least to greatest.
.

Answers

Answer:

-2, -1 ,2 ,2 ,2.22.25 that's the answer

Is (1,-4) a solution to the equation y=-2/?
A yes
В. no

Answers

Answer: B.no

Step-by-step explanation:

To figure this out, plug (1, -4) into the equation y=-2x. 1 is the x value, so we plug it into the x. -4 is the y value, so we plug it into the y spot. In the end we get -4=-2(1). Is this true? No, it isn't. Therefore it is not an answer

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