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

work out angel x

Please could u help me with this
ASAP thanks you ​

Answers

Angle ————————————————

soooooooooooooooooooooooo who wants to help with mah math

Answers

Answer:

t = c · (3.5)  

Step-by-step explanation:

The rate of change is 3.5.

So it takes three and a half mins to make one plane

So 3.5 times the number of planes equals the total time it takes to make them.

I really hope this helps!

Find Surface Area Of This Triangular Prism

Answers

Answer:

325 cm²

Step-by-step explanation:

find area of each side even those that are not shown. then add the areas

The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 20 lb on Earth, how much did
the moon rock weigh on the moon?

Answers

Answer:

10 lb on planet earth which turns very slowly

Answer:

10 pounds on planet earth which turns very slowly

Step-by-step explanation:

what is the surface area of the regular pyramid below?

A. 1512 units^2
B. 952 units^2
C. 1316 units^2
D. 756 units^2

Answers

D. 756 units^2

Step-by-step explanation:

there ya go :)

The surface area of the regular pyramid is 960 square units, the correct answer is B.

How to find the volume and base's area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

Base of square pyramid is 20, the height is 14

Now,

Perimeter = 4 x 20 = 80 units

Base area = 20 x 20 = 400 square units

Surface area = (1/2) x 80 x 14 + 400

Surface area = 560 + 400

Surface area = 960 square units

Therefore, the surface area pyramid will be 960 square units.

Learn more about right rectangular pyramid here:

https://brainly.com/question/27234847

#SPJ7

Based on the diagram, which is a true statement?
o If a student plays in the band, then he/she is an
honor student.
Olfa student is an honor student, then he/she plays in
the band.
O If a student is not an honor student, then he/she
cannot play in the band.
O If a student is an honor student, then he/she may
also be a band member.

Answers

Answer:

top god's menu back door distract 9 call scars double knot thunderous gone away gone day SKZ ALL AROUND THE WORLD

Answer:

Step-by-step explanation:

if a student is an honor student, he/she may also be a band member

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

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

Answers

Answer:

yes, the triangle are congruent by SAS

Multiply. Write your answer as a fraction in simplest form.
2x7/16

Answers

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

$250, 3.4%, 3 years what would my interest be?

Answers

Ur interest should be 3.4 divided by 250 times 3

WILL GIVE 100PTS

Find the slope of a line that passes through (-2, -3) and (1, 1).

A. 1 /3
B. 1
C. 2
D. 4/3​

Answers

Answer:

D

Step-by-step explanation:

Y2-Y1/x2-x-1

Answer:

D

Step-by-step explanation:

Formula for slope is (y2-y1)/(x2-x1).

(1-(-3))/(1-(-2)) = 4/3

x/33=-2/3i don't know how to solve this some one help me please

Answers

Answer:

x/i=22

Step-by-step explanation:

x/33=2/3*i

*33       *33

x=2/3*33*i

/i              /i

x/i=2/3*33

x/i=22

Find the difference of 651

Answers

What difference? You just said "Find the difference of 651", but what am I subtracting by? What equation?

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 125 and a standard deviation of 5. What percentage of males in the town that
have a systolic blood pressure higher than 131, to the nearest tenth?

Answers

Answer:

11.5 %

Step-by-step explanation:

mean- 125 | sd: 5

z-score: 131-125/5= 6/5= 1.2

for z= 1.2, percent: 88.49 %

100-88.49= 11.51 -> 11.5

a) 15 - 4 X 6 + 30 - 5​

Answers

Answer:

16

Step-by-step explanation:

15 – 24 +30 – 5

–9+25

= 16

Answer:

16

Step-by-step explanation:

(Remember to always use order of operations or "PEMDAS")

First do 4 × 6 = 24, then subtract 24 from the 15 to get -9. Now add -9 to 30 to get 21. Finally, subtract 5 from 21 to get 16.

Hope this helps you :)

Can somebody give me an answer? ill give brainiest.

Answers

Answer:

The mystery divisor is 18

Step-by-step explanation:

In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.

Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.

[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?​

Answers

Answer:

[(3*8)+2]+6-2

PEMDAS

There are parentheses so solve what is in them

3*8=24

[24+2]

26+6-2

Do the addition

32-2

30 is your answer

30 steps

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

y - 2x=4
3x -5y =15 ddddddddddd

Answers

Answer:

Hope this is right and helps :)

Step-by-step explanation:

What is a way that a lender could collect on a debt when the borrower defaults??

Answers

Answer:

If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.

Step-by-step explanation:

Answer:Wuts the answer

Step-by-step explanation:

I Need help with 4-7

Answers

Answer:

Step-by-step explanation:

4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°

5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.

6) NOT parallel. see pic.

If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel

7)

b = 78°  as it corresponds with a labeled angle above it

a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180

f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180

e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180

c = 58° as it corresponds with f

d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180

 

Write a ratio for 2 batches of this recipe.

Answers

1/2 1/2 of what recipe tho??

If sin A =P then the value of tan thita + sec thita is

Answers

i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...

secθ+tanθ=P

⇒(secθ+tanθ)² = P²

⇒sec² θ+tan² θ+2tanθsecθ=P²

⇒2tan²θ + 1 + 2 sinθ/cos θ = P²

⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²

Applying componendo and dividendo

=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1

⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1

=> sinθ = p²-1/ p²+1

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year

Answers

The business owners that would provide a holiday gift to their employees this year is 21.

Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.

In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.

35% x 60

0.35 x 60 = 21 people

To learn more about percentages, please check: https://brainly.com/question/92258

At the math store each circle costs one amount and square cost anthor. 5 circles +1 square =20 cents, two circles +3 square=21 cents . At these prices how many cents does 12 circles + 5 squares cost?

Answers

Answer:

61 cents

Step-by-step explanation:

We can create 2 equations.

5C + (1)S = 20

2C+ 3S = 21

We can alter the first equation below

S = 20 - 5C

Now we replace S with 20 - 5C into the second equation as shown

2C + 3(20 - 5C) = 21

Simplify:

2C + 60 - 15C = 21

Combine Like Terms:

-13C = -39

C = 3

Now we can calculate S

S = 20 - 5(3)

S = 5

12(3) + 5(5) = 36+25 = 61

A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls. If there are 103 balls altogether, then how many green balls and how many orange balls are there in the box?

Answers

Answer:

Step-by-step explanation:

x = orange ball count

y = green ball count

y = 3x + 7

x + (3x + 7) = 103

4x = 96

x = 24 orange balls

y = 103 - 24 = 79 green balls

or

y = 3(24) + 7 = 79

Answer:

52 green, 15 orange!

Step-by-step explanation:

take reference from the following image:

Selina has a balance of $1,200 in his First State Bank checking account. He deposits a $387.89 paycheck, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he have in his account after the transaction?

Answers

Answer:

$1,875.01

Step-by-step explanation:

Cash in Bank :

DEBIT(+) :

+ $1,200.00

+ $387.89

+ $250.00

+ $437.12

CREDIT (-) :

- $400.00

Capital:

DEBIT (-) :

- $400.00

CREDIT (+) :

+ $1,200.00

+ $387.89

+ $250

Accounts Payable :

DEBIT (-):

0

CREDIT (+):

+ $437.12

Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.

When y=45 , x=40 .

Answers

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x

solve pls brainliest

Answers

5.15, 5.2222, 5.19, 5.169



1: 103/20 2: 5.169 3: 5.19 4: 5 2/9

We have: 103/20= 5,15   ;   5 2/9= 5,(2)

So the answer is:

103/20 < 5.169 < 5.19 < 5 1/2

ok done. Thank to me :>

Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =

Answers

Answer:

C (Hypotenuse) = 9.9

Step-by-step explanation:

Given the two sides of a triangle, where a = 7, and b = 7:

We can use the Pythagorean Theorem where it states: c² = a² + b².

Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.

c² = a² + b²

c² = 7² + 7²

c² = 49 + 49

c² = 98

[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]

c = 9.89 or 9.9

Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.

Other Questions
if x+y=5,and xy=10, find the value of x2+y2 Evaluate the expression when m=8 and n=9.4n+m Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how manycans should Grayson leave for the time he is away? paragraph is collection sentence that talk about one simple adia with one topic sentence and two or more suporting sentences How many milliliters of a stock solution of 12.1 M HNO3 would be needed to prepare 0.500 L of 0.500 M HNO3 how many repeat units are required to make a nylon polymer with a formula weight of 15,000 amu? find four rational numbers between -5 and 8 during medieval times, books were either written on __________ or __________. Will mark brainliestWhich type of conflict does Theseus face with Procrustes in "The Adventures of Theseus"?1.man vs. society2.man vs. man3.man vs. himself4.man vs. nature What can you learn from seeing the world through an animals eyes in the equation f(x) = 5x + 6,6 is called? Potential energy is described asQuestion 1 options:Stored energyDecreasing energyMovementFriction Christianity is rooted from what religion? Describe the impact of your pumpkin once it was exchanged in the first 50 years or so. 7.Rewrite the expression (4x + 5x) -5(4x + 5x) 6 as a product of four linear factors. can some one help me with this please Read the following sentence. Then tell which statement is true. "Dont go to the park," said Jenny.A) The sentence contains an indirect quote.B) The sentence contains a double negative.C) The sentence contains a contraction.D) The sentence contains a metaphor. PLZZZZZZZZZZZ HELP 1000 POINTS AND BRAINLIEST Classify: 4m+21(m1)15m+2(m1). Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred