In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?

I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer

In The Final Exams, 40% Of The Students Failed Chemistry, 25% Failed Physics, And 19% Failed Both Chemistry

Answers

Answer 1

Answer:

  10%

Step-by-step explanation:

If 40% failed chemistry then 60% passed chemistry.

If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.

If we let p' represent failing physics and c represent passing chemistry, then ...

  P(p'|c) = P(p'c)/P(c)

  P(p'|c) = 6%/60% = 0.10 = 10%

If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.

__

Your answer is correct.

Answer 2

To solve this problem, we can use conditional probability.

Let's assume that there were 100 students in the final exam.

According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.

We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.

To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]

We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).

Therefore,

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]

So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.


Related Questions

how is 7 square root 2 is equal to 49?

Answers

Answer:

Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha. Which expressions both calculate the number of hours Demetrius works in a 5-day work week? 5 x + 1 and 5 ( x + 1 ) 5 x plus 1 and 5 times open paren x plus 1 close paren ( x + 1 ) × 5 and 5 × x + 1 open paren x plus 1 close paren times 5 and 5 × x + 1 5 ( x + 1 ) and 5 x + 5 5 times open paren x plus 1 close paren and 5 x plus 5 ( x + 1 ) × 5 and 5 + ( x × 1 )

Answers

The number of hours worked by both Latisha and Demetrius is; 5x + 5(x+1)

According to the question:

We are required to generate an expression that can be used to calculate the number of hours used to work by Latisha and Demetrius.

Since Latisha works x hours per day; In 5 days she works 5x hours.

Demetrius works 1 more hour each day than Latisha; In 5 days; she must have worked; 5(x +1) hours.

The sum of both of them gives; 5x + 5(x +1).

Read more:

https://brainly.com/question/16989990

25Y^2/5y-4 + 16/4-5y​

Answers

Answer:

5Y2y-5y

Step-by-step explanation:

5

Y

2

y

5

y

Which value of x is a solution of the inequality?
​3x−3≥9

Answers

Answer:

It's probably X since X doesn't have a written number for it it equals 1.

Step-by-step explanation:

help pls :))))))))))))

Answers

Answer:

yes, the triangle are congruent by SAS

Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)

Answers

Answer:

x – 4y = 20

Step-by-step explanation:

Put the line above in Slope Intercept Form

You can do that by solving for y

y = (1/4)x - 5

The slope, m above is 1/4

The perpendicular will a negative inverse slope m = -4

In Slope Intercept Form your perpendicular line starts below

y = -4x + b

Use the coordinates of the given point on the line (2, -5) to insert and solve for b

-5 = -4(2) + b

-5 = - 8 + b

Add 8 to both sides of the equation

-5 + 8 = b

3 = b

Finally your perpendicular line

y = -4x + 3

I hope this helps

Check my arithmetic

Answer:

×4y=20

Step-by-step explanation:

mark me as brainlist please

What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3

The slope of the line is 2/3.

_____

The attached graph shows the equation of the line in point-slope form.

what is the change from 3 to -8?

Answers

Answer:

-11

Step-by-step explanation:

3 - 11 = -8

help me will mark as brainlist

Answers

Answer:

11/9 OR 1 and 2/9

Step-by-step explanation:

5/9 + 4/6

get like deonimators by mutiplying top and bottom by same thing --- afterall mutiplying by 2/2, 3/3, 4/4.. etc is mutiplying by 1... not changing anything!

So:

(2/2)*(5/9) + (3/3)(4/6) =  10/18 + 12/18 = 22/18

Which can be simplified :)

11/9 ORRR 1 and 2/9

Step-by-step explanation:

rules? I like get brainlist pleaseee :00 it's totally A


What is the position of B on the number line below?
Write your answer as a fraction or mixed number

Answers

Step-by-step explanation:

B = 1 4/5

because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.

and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.

and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.

therefore, we have 9×1/5 = 9/5.

Hey help please math I need help good luck I’ll I’ve point

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

Jasmine wants to make more cleaning solution

Answers

Answer:

here

Step-by-step explanation:

Method 1 Method 1 of 3: Making Liquid Cleaners

Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.

Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.

Add dish soap for persistent stains on carpet. ...

Tackle tough stains and grime with undiluted vinegar. ...

geomtry plz help 10 points

Answers

Answer:

22.3<x<27.6

Step-by-step explanation:

X=greater than a number but less than another

22.3<27.6

Knowing that we can place 27.6 to the right of x and 22.3 to the left.

Hope this helps :)

Answer:

[tex]4.3<x<50.9[/tex]

Step-by-step explanation:

To find our Inequality sentence we have to add the largest number with the smaller much

[tex]27.6+23.3=50.9[/tex]

To find the second part of our inequality sentence we have to subtract the larger number from the smaller number

[tex]27.6-23.3=4.3[/tex]

Our inequality sentence is               [tex]4.3<x<50.9[/tex]

Brainliest please

f x and r are inversely proportional and x = 9 when r = 72, then what is x when r = 40?

Answers

Answer:

16.2

Step-by-step explanation:

r = k/x

when x = 9 and r = 72 ,

72 = k/9

k = 72*9

When r = 40 ,

x = k/r

x = 72*9/40 = 16.2

The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=

Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=

Answers

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

The value of each expression is given below,

B(6)=85

B(2.75)=52.5

B(1.482)=39.82

Value of x for each expression,

B(x)=93; x=6.8

B(x)=42.1; x=1.7

B(x)=116.25; x=9.125

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is B(x)=10x+25.

The value of each expression will b calculated as,

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

To know more about an expression follow

https://brainly.com/question/14161914

#SPJ2

The graph of the linear function is shown on the coordinate grid. What is the equation of this line?​

Answers

y=-1/3-2

Hope this helps!! :)

A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation

Answers

Answer:

you can buy 6 pounds of apples

Step-by-step explanation:

the sum of x and 4y is 9

Answers

Answer:

y= -1/4x +9/4

Step-by-step explanation:

I don't know which form you wanted, so heres the slope form

evaluate 6^2 - (9 divided by x) when x = 3

Answers

Answer:

33

Step-by-step explanation:

30 liters in 2 minutes = liters per minute

Answers

Answer:

0.06 would be the answer.

Step-by-step explanation:

Answer:

15 liters per minute

Step-by-step explanation:

30/2=15

a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox

Answers

If you are asking how many more are in the box it would be 8 because you added 8 more but in total there are 14 wrenches

Can someone please answer this question? Someone answered and they deleted their answer, so I need someone else to help me!
Please do not delete your answer, steal the points, or send links, I really need some help!

Answers

Check the picture below.

now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.

looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.

Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.

so 1 ≅ 2 and 1 ≅ 4.

Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m

Hope that helps

Answers

Answer:

ok thank u ig

Step-by-step explanation:

y-3=1/2(x-7)

PLS HELP ME OUT GUYS

Answers

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.

is this linear or not and why

Answers

Answer:

Yes

Step-by-step explanation:

Both equations of this system are of degree one.

They are both linear as the graph of both is a line.

Answer:

yes

Step-by-step explanation:

The highest power of variable is 1 . So it is a linear equation of two variables .

determine the slope and y intercept and write the equation in slope intercept form

Answers

Answer: slope is 2 and the y-intercept is 1  intercept form is y=2x+1

Step-by-step explanation:

Let C1 and C2 be two smooth parameterized curves that start at P0 and end at Q0 ≠ P0, but do not otherwise intersect. If the line integral of the function f(x, y, z) along C1 is equal to 43.1 and the line integral of f(x, y, z) along C2 is −15.9, what is the line integral around the closed loop formed by first following C1 from P0 to Q0, followed by the curve from Q0 to P0 along C2, but moving in the opposite direction? Incorrect: Your answer is incorrect.

Answers

We're given that

[tex]\displaystyle \int_{C_1} f(x,y,z) \,ds = 43.1[/tex]

and

[tex]\displaystyle \int_{C_2} f(x,y,z) \,ds = -15.9[/tex]

The closed loop formed by joining C₁ and C₂ is then C₁ U (-C₂), which is to say we follow C₁ normally, then traverse C₂ in the opposite direction. Then

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds + \int_{-C_2} f(x,y,z) \,ds[/tex]

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds - \int_{C_2} f(x,y,z) \,ds[/tex]

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = 43.1 - (-15.9) = \boxed{59}[/tex]

help me please guys! for the most brain lol

Answers

Answer:

-3<-1

-3[tex]\leq[/tex]-1

Step-by-step explanation:

[tex]\leq[/tex] Means less than or equal to

< Means less than

Write two numbers that multiply to −33 and add to 8

Answers

Answer:

-3 and 11

Step-by-step explanation:

which expression represents the product of 3 and 1 1/4 n 1.8

Answers

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

3•1 1/4•1.8= 6 3/4

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Let’s start of with 3•1 1/4~

3 times 1 and 1/4 is 3 3/4

Now let’s multiply 3 3/4 • 1.8

1.8 is also 1 8/10, simplified: 1 4/5.

3 3/4 • 1 4/5 = 6 3/4

THERE IS YOUR ANSWER! >o<

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

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