Answer:
answer = 1/11
Step-by-step explanation:
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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Solve w=x/y-x for x.
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
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
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
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
use the equation below to find y,if m=4,x=5, and b=9. y=mx-b
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.
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
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?
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
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]
HELPPP MY MATH HOMEWORK!!!
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
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
HI PLEASE ANSWER BEFORE 12:00a.m. EST
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?
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
Between which two values is the square root of 75?
Answer:
Between 8 and 9
Step-by-step explanation:
Square root of 75 is 8.66025403784
Pls help me will pay $
Answer:
1.2 or 1.22 (Doesn't matter)
Step-by-step explanation:
parallel to y = -2/5 and passes through 2, -8
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
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?
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?
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?
Answer:
4
Step-by-step explanation:
she multiplied 6x24, got 144 and said 1/144
May I please receive help?
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
Answer:
Step-by-step explanation:
2/5 và -1/2
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
Answer:
2d=180based on the 3d parallel =to 0xyc⁶=12(0)
please answer this question
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
Answer:
Loading,please wait...
Step-by-step explanation:
Order|2.25|| –1,5), 2, 2, and -2 from least to greatest.
.
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
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