49% of all violent felons in the prison system are repeat offenders. If 45 violent felons are randomly selected, find the probability that a. Exactly 24 of them are repeat offenders. b. At most 23 of them are repeat offenders. c. At least 23 of them are repeat offenders. d. Between 15 and 20 (including 15 and 20) of them are repeat offenders.

Answers

Answer 1

Answer:

0.100 ;

0.6673 ;

0.446 ;

0.311

Explanation:

Given that :

p = 49% = 0.49

Sample size, n = 45

From binomial probability formula:

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Exactly 24 of them are repeat offenders.

P(x = 24) = 45C24 * 0.49^24 * 0.51^21 = 0.100

b. At most 23 of them are repeat offenders.

P(x ≤ 23) = p(x = 0) + p(x = 1)... + p(x =23)

P(x ≤ 23) = 0.6673 (using online binomial probability calculator)

c. At least 23 of them are repeat offenders.

P(x ≥ 23) = p(x = 23) + p(x = 24)... + p(x =45)

P(x ≥ 23) = 0.445 (using online binomial probability calculator)

d. Between 15 and 20 (including 15 and 20) of them are repeat offenders.

P(x = 15) + p(x = 16) + p(x = 17) p(x = 18) p(x = 19) +

p(x = 20)

0.0131 + 0.0236 + 0.0387 + 0.0579 + 0.0790 + 0.0987

= 0.311


Related Questions

Need help again. what is (4!) factorial

Answers

Answer:

24

Explanation:

1x2x3x4

24 because it is just 24

The goal for the size of the Santa on a Christmas Santa CUP IS 3.5 cm(T)with an acceptable tolerance of +/-0.9cm.The grand mean of the size of the Santa from the samples that were taken is 3.4 cm(m) and the standard deviation is 1.28 cm. What is the CPK?

Answers

Solving the problem systematically, the CPK for the size of the Santa on the Christmas Santa cup is approximately 0.2083.

How to Solve the Problem?

The following formula must be used to determine the CpK (Process Capability Index) for the size of the Santa on a Christmas Santa cup:

CpK is equal to min[(USL - x) / 3 and (x - LSL) / 3].

Where: Target size + Acceptable Tolerance = 3.5 cm + 0.9 cm = 4.4 cm (USL = Upper Specification Limit)

Target size - Acceptable Tolerance = 3.5 cm - 0.9 cm = 2.6 cm x = Grand Mean = 3.4 cm LSL = Lower Specification Limit

1.28 cm is the Standard Deviation.

Let's figure out the CpK:

CpK is equal to min[(4.4-3.4)/(3*1.28), (3.4-2.6)/(3*1.28)]

adjusted to four decimal places, min[1 / 3.84, 0.8 / 3.84] = min[0.2604, 0.2083] = 0.2083

In light of this, the CPK for the Santa's size on the Christmas Santa cup is roughly 0.2083.

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How much work is done when 2 N of force is exerted over 2 m?
1 Nm
4 N
4 Nm

Answers

Answer:

4 Nm

Explanation:

W=Fd

F: force

d :displacement

W=2N*2m=4Nm

A sample of adults were asked how much they spent monthly on Valentine's Day roses approximate the mean for the cost of Valentine's Day roses

Answers

Answer:

i dont know haha

Explanation:

3) Explain the difference between the term's "variable" and "data." Include an

illustration that demonstrates this difference.


Statistics 2

Answers

Variable is a letter next to a number whether it’s x or y it can be any letter really but main ones is x and y and data is something written down from an oberservartion whether it’s an experiment or table etc.

please help me!!!! i will give 20 points

please help me!!!! i will give 20 points

Answers

Answer:

A

Explanation:

Importing Crops- this will help trade for water.

what dose every mar not want but dare пот not want to lose​

Answers

Something that no one wants but does not dare to lose is a lawsuit as this can be a difficult process.

What is a lawsuit?

A lawsuit is a legal process in which two parties dispute before a court of law usually because one of the parties has broken the law. Lawsuits can raise from many different situations including civil disputes but also criminal offenses.

In general, people do not want to be involved in a lawsuit as it is a long and difficult process but if involve they do not want to be the ones losing.

Note: Here is the complete question:

What is it that no man wants, but no man dares to lose? Riddle

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How does the asthenosphere cause seafloor spreading?

plssss answerrrrr im on my exams

Answers

Answer:

Seafloor spreading occurs at divergent plate boundaries. As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense. The less-dense material rises, often forming a mountain or elevated area of the seafloor.

Explanation:

tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense. The less-dense material rises, often forming a mountain or elevated area of the seafloor.

The newly elected president need to decide the remaining eight spots available for cabinet here she is appointing there are 12 eligible candidate for this position where rink matters how many different ways can the member of the cabinet be appointed

Answers

Answer: There are 495 different ways the members of the cabinet can be appointed.

Explanation:

nCr+n! / (r! * (n-r)!)

Where n is the total number of items, and r is the number of items to choose.

In this case, there are 12 eligible candidates for 8 spots. So, we need to find the humber of ways to choose 8 candidates from 12, which is:

12C8 = 12!/ (8! * (12-8)!)+495

I am doing a debate on “Are college loans exploitative” i need help ASAP! i need 2 statements to help support what’s i’m debating about

Answers

Answer:

I love debating but i dont know much because i am  in  6th grade but i can help

Explanation:

umm its  fair  because

some people deserve to be loan a college loan for their knowledge and some

also some people study hard to get student loans and they get good scores on their high school sat

According to a NASA study of satellite data, the mass
of the Antarctic ice sheet increased by 112 billion
tons of ice each year from 1992 to 2001. For these
years, which of the following types of functions best
models the mass, in tons, of the Antarctic ice sheet as
a function of time, in years?
A) Increasing linear
B) Decreasing linear
C) Increasing exponential
D) Decreasing exponential

Answers

With regard to the study on NASA, the correct answer is Option A.

What is the explanation for the above response?

Since the mass of the Antarctic ice sheet increased each year during the given period, the function that best models this trend is an increasing function. Therefore, we can eliminate options B and D, which both suggest a decreasing trend.

Between options A and C, we can consider the rate of increase in the mass of the Antarctic ice sheet. The passage states that the mass increased by 112 billion tons of ice each year, which suggests a constant rate of increase. This is better modeled by a linear function rather than an exponential function. Therefore, the answer is option A) Increasing linear.

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An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect’s constraints, which of the following must be the tread depth, in inches, of the stairway? (1 foot = 12 inches)

A) 7.2
B) 9.5
C) 10.6
D) 15

An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a

Answers

Answer:

Option C

The answer is 10.6

Explanation:

Here,

Total rise = 9 feet

Now, 1 foot = 12 inch

So, 9 x 12 inches = 108 inches

A riser height between 7 and 8 inches,

i.e., 8 ≤ h ≤ 7

Total riser = xh ...(1)

where x is the number of steps and h is the riser's height.

From equation (1),

x = Total riser ÷ h

Total riser = 108

h = 8 ≤ h ≤ 7

Thus,

x = 108/8 ≤ h ≤ 108/7

x = 14 ≤ h ≤ 15 ....(2)

Since the number of steps (x) is an odd number,

So, x = 15 [from equation (2)] (.°. 14 is not an odd number)

Also, from equation (1),

h = total riser/x

h = 108/x = 108/15 = 7.2 [it's between 7 and 8]

from riser-tread formula,

2h + d = 25

d = 25 - 2h

d = 25 - 2(7.2)

d = 25 - 14.4

d = 10.6

Thus, The answer is 10.6

-TheUnknownScientist

Answer:

Explanation:

The riser-tread formula states riser (R)+ tread (T) = 17 inches minimum, or 18 inches maximum.

Given R is between 7 - 8 inches, T must be between 9 - 11 inches.  So the only choices within this range are B) 9.5 and C) 10.6.

As the number of steps must be odd:

for R between 7 - 8 inches, the total rise of 9 feet i.e. 108 inches requires -

108/7 = 15.4 ~ 16 steps to

108/8 = 13.5 ~ 14 steps

15 steps is an odd number between 14 and 16.

With 15 steps, R = 108/15 = 7.2"

For choice B, R + T = 7.2 + 9.5 = 16.7" which is short of the riser-thread formula.

For choice C, R + T = 7.2 + 10.6 = 17.8" which satisfies the riser-thread formula and is the correct answer.

Edit: I missed the riser-thread formula in this question has been defined as  2h + d = 25. So the above calculation was done with a different definition of the formula but arrived at the same answer.

A group of experimenters has 30 hummingbirds in a large container and needs to assign 10 to each of the three groups labeled A, B, and C for an experiment. They can capture the hummingbirds one at a time when the hummingbirds enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in three comparable groups of 10 hummingbirds each?

Answers

Answer:

answer should be D

Explanation:

Place each hummingbird in its own numbered container in order that it was caught. write the numbers 1 to 30 on the slips of paper, put the slips in a jar and mix them well.

Answer:

E.) Place each hummingbird in its own numbered container (numbered from 1–30) in the order that it was caught. Write the numbers from 1 to 30 on slips of paper, put the slips in a jar, and mix them well. Pick 10 numbers out of the jar. Assign the hummingbirds in the containers with those numbers to group A. Pick 10 more numbers for group B. Assign the remaining hummingbirds to group C.

Explanation:

This is the only method that provides truely random results. Using Simple Random Sampling.

A.) This is wrong because it uses a convenience sample

B.) Wrong because it involves you picking out which birds to assign to each group (Leading to bias)

C.) Rolling an even number isn't a good way to get random results.

D.) Again, rolling a dice isnt the best way to get random results.

E. Correct since it is the only answer that uses a proven method to get random results (Simple Random Sampling)

Someone help me please

Someone help me please

Answers

y=x+4 and f1(x)=17 if not then ask instructor

Joe is playing a game in which he has to roll two six-sided dice. In his past ten rolls, he has rolled a sum of one 2, two 5s, three 7s, two 8s, one 10, and one 12. The weighted mean of all of Joe’s dice rolls is __________.

Answers

Answer:

The weighted mean of all of Joe’s dice rolls is 7.1.

Explanation:

Since Joe is playing a game in which he has to roll two six-sided dice, and in his past ten rolls, he has rolled a sum of one 2, two 5s, three 7s, two 8s, one 10, and one 12 To determine the weighted mean of all of Joe's dice rolls, the following calculation must be performed:

(2 + (2 x 5) + (3 x 7) + (2 x 8) + 10 + 12) / 10 = X

(2 + 10 + 21 + 16 + 10 + 12) / 10 = X

71/10 = X

7.1 = X

Thus, the weighted mean of all of Joe’s dice rolls is 7.1.

What is the FSA ID? Group of answer choices The FSA ID is your college ID number. The FSA ID is the same as your social security number and is used in filling out the FAFSA. The FSA ID allows colleges to access tax documents to aid in making financial aid decisions. The FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites.

Answers

FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites. The correct option is D.

What is FSA ID?

FSA ID is a password and name that is given to the students and parents for login into the U.S. Department of Education (ED) online systems. This login password is used electronically to access Federal Student Aid websites. There is another form which is FAFSA.

Therefore, the correct option is D, The FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites.

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As technology becomes more complex and widespread it becomes more difficult to report and spread news.

-true
-false

Answers

The answer would be false because we can post it and the whole world can see it in the blink of an eye!

One of the functions of sociology of education is the development of new social patterns (see p5 in SoE). Briefly discuss how this aim could be taught in the classroom. (3)​

Answers

Teaching the aim of developing new social patterns within the context of the sociology of education requires a comprehensive and interactive approach in the classroom.

Some strategies that could be used to effectively teach this aim:

1)Introduce case studies: Presenting real-life case studies that demonstrate social patterns and their consequences can help students understand the importance of developing new social patterns.

By analyzing these cases, students can identify existing social patterns, evaluate their impacts, and brainstorm potential alternatives.

2)Encourage critical thinking: Foster critical thinking skills by engaging students in discussions and debates about current social patterns and their implications.

Encourage them to question the status quo, challenge existing norms, and explore alternative social arrangements.

This can be done through open-ended questions, group activities, and analyzing conflicting viewpoints.

3)Collaborative projects: Assigning collaborative projects that require students to propose and develop new social patterns can be an effective way to engage them in active learning.

Students can work in groups to identify social issues, research potential solutions, and create action plans for implementing new social patterns.

This hands-on approach encourages creativity, teamwork, and problem-solving skills.

4)Guest speakers and field trips: Inviting guest speakers from various fields, such as sociology, education, and community organizations, can provide students with real-world insights into the development of new social patterns.

Organizing field trips to relevant community organizations or institutions can also give students the opportunity to observe and learn from initiatives that aim to create positive social change.

5)Reflective activities: Incorporate reflective activities, such as journaling, class discussions, or personal presentations, where students can express their thoughts, insights, and personal experiences related to social patterns.

Encourage them to critically reflect on their own behaviors, attitudes, and the potential impact they can have on social patterns.

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You are not sure what you need to do to complete an assignment in your course. Who should you contact?
a. Your program advisor.
b. A career counselor.
c. The faculty member for that course.
d. Your enrollment counselor.
e. Your academic coach.

Answers

Answer: C. The faculty member for that course

Answer:

(C) The faculty member for that course.

Explanation:

Other staff members may not know the exact requirements for that specific course. You're best bet would be to contact the teacher/professor directly in order to gather all the information needed.

12 month old Dennis accidentally knocked his bowl of the table the both days on the floor before coming to a stop in a small pics of the boat and place it back on the table so he knocks it down again to see if it will fit Dennis knock the ball down each time his mother pick it up what’s up stage of sensorimotor development does this behavior reflects

Answers

The substage of sensorimotor development which this behavior reflect is an active experimentation.

What is an active experimentation?

An active experimentation can be defined as a substage of sensorimotor development which is typically characterized by the use of theories in order to proffer solutions to problems or make decisions.

In this context, we can infer and logically deduce that the substage of sensorimotor development which Dennis' behavior reflect is known as an active experimentation.

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Complete Question:

12 month old Dennis accidentally knocks his bowl off the table. The bowl spins on the floor before coming to a stop. Dennis's mom picks up the bowl and places it back on the table, so he knocks it down again to see if it will spin. Dennis knocks the bowl down each time his mother picks it up. What substage of sensorimotor development does this behavior reflect?

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

Find the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs.

a. Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.

Answers

The probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs is 0.7499.

What is the probability?

We first get the z score for the two values. As z = (x - u) sqrt(n) / s, then as

x1 = lower bound = 3.5

x2 = upper bound = 4.25

u = mean = 4

n = sample size = 16

s = standard deviation = 1.2

Thus, the two z scores are

z1 = lower z score = (x1 - u) * sqrt(n) / s = -1.666666667

z2 = upper z score = (x2 - u) * sqrt(n) / s = 0.833333333

Using table/technology, the left-tailed areas between these z scores is

P(z < z1) = 0.047790352

P(z < z2) = 0.797671619

Thus, the area between them, by subtracting these areas, is

P(3.5<xbar<4.2) = 0.749881267

The probability is 0.7499.

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Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees.

hello friends please tell me in Punjabi meaning​

hello friends please tell me in Punjabi meaning

Answers

Answer:

Explanation:

1.  ਕੋਈ ਵਿਅਕਤੀ ਜੋ ਕਿਸੇ ਧਾਰਮਿਕ ਜਾਂ ਰਾਜਨੀਤਕ ਵਿਸ਼ਵਾਸ ਜਾਂ ਸਿਧਾਂਤ ਨੂੰ ਤਿਆਗਦਾ ਹੈ

2. ਇੱਕ ਨੂੰ ਦਿੱਤਾ ਗਿਆ

3. ਨਾਲ ਦੇ ਜਾਂ ਨਜ਼ਦੀਕੀ ਸ਼ਬਦਾਂ ਦੇ ਸ਼ੁਰੂ ਵਿੱਚ ਇੱਕੋ ਅੱਖਰ ਜਾਂ ਧੁਨੀ ਦੀ ਘਟਨਾ।

4. ਕੋਈ ਵਿਅਕਤੀ ਜੋ ਪਰਮੇਸ਼ੁਰ ਜਾਂ ਦੇਵਤਿਆਂ ਦੀ ਹੋਂਦ ਵਿੱਚ ਵਿਸ਼ਵਾਸ ਼ ਨਹੀਂ ਕਰਦਾ ਜਾਂ ਉਸਵਿੱਚ ਵਿਸ਼ਵਾਸ ਨਹੀਂ ਰੱਖਦਾ

5. ਇੱਕ ਰਵਾਇਤੀ ਕਹਾਣੀ ਜਿਸਨੂੰ ਕਈ ਵਾਰ ਇਤਿਹਾਸਕ ਪਰ ਪ੍ਰਮਾਣਿਤ ਨਹੀਂ ਮੰਨਿਆ ਜਾਂਦਾ

hope it helps

How much a person can carry in train?

Answers

Answer:

two personal items, 25 lbs. (12 kg) and 14 x 11 x 7 inches each, and two carry-on items, 50 lbs. (23 kg) and 28 x 22 x 14 inches each

Explanation: I've been on a train before

Passengers that are known to be travelling over all Indian Railways are said to be permitted to carry luggage free of charge with them in the compartment up to about 70 Kgs.

How much a person can carry in train?

It does depends on the company that runs the train, what type of ticket you buy, and any rules about how much baggage you can bring.

Most train companies have rules about how much luggage passengers are allowed to bring with them. These rules tell you how heavy and big your bags are allowed to be when you bring them on a plane or check them in.

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Applying the formula for the sum of the first n integers? a-Evaluate 2+4+6+......+500​

Answers

Answer:

\(S_{250} = 62750\)

Explanation:

Given

\(Sequence: 2 + 4 + 6 + ..... + 500\)

Required

Evaluate the sequence

The sequence shows an arithmetic progression and will be solved using the sum of n terms of an Arithmetic Sequence as follows:

\(S_n = \frac{n}{2}(a + L)\)

But first, we need to determine the value of n as follows:

\(L = a + (n - 1)d\)

Where

\(L = Last\ Term = 500\)

\(a = First\ Term = 2\)

\(d = Common\ Difference = 4 - 2 = 2\)

So:

\(L = a + (n - 1)d\)

\(500 = 2 + (n - 1) * 2\)

Open bracket

\(500 = 2 + 2n - 2\)

Collect Like Terms

\(2n = 500 + 2 - 2\)

\(2n = 500\)

Divide through by 2

\(n = 250\)

So:

\(S_n = \frac{n}{2}(a + L)\) becomes

\(S_{250} = \frac{250}{2}(2 + 500)\)

\(S_{250} = 125(2 + 500)\)

\(S_{250} = 125(502)\)

\(S_{250} = 125 * 502\)

\(S_{250} = 62750\)

Hence, the sum of the sequence is 62750

Find the area of the shaded region under the standard normal curve. If​ convenient, use technology to find the area.
z
-2.48
0

Answers

Answer:

0.4934

Explanation:

To obtain the area of the shaded region under then curve :

P(-2.48 < Z < 0) = P(Z < 0) - P(Z < - 2.48)

To obtain P( Z < x) = (x - μ) / s

Therefore :

P(Z < 0) - P(Z < - 2.48)

Using a Z probability calculator :

P(Z < 0) = 0.5

P(Z < - 2.48) = 0.0065691

Hence,

P(Z < 0) - P(Z < - 2.48) = 0.5 - 0.0065691

Therefore the shaded area under the normal probability curve is = 0.5 - 0.0065691 = 0.4934309

P(Z < 0) - P(Z < - 2.48) = 0.4934

You have 4 numbered tags in a bag { 1,3,5,7}. You will draw out two without replacement.
a) find the mean of the population
b) List all possible samples of two and calculate the mean of each sample
c) Calculate the sample mean of all your sampling distribution. Compare to your answer with the population mean.

Answers

Answer:

Explanation:

a) The mean of the population is given by:

Mean = (1 + 3 + 5 + 7) / 4 = 4

Therefore, the mean of the population is **4**.

b) There are six possible samples of two that can be drawn from the population:

{1,3}, {1,5}, {1,7}, {3,5}, {3,7}, {5,7}

The mean of each sample is:

{1,3}: (1+3)/2 = 2

{1,5}: (1+5)/2 = 3

{1,7}: (1+7)/2 = 4

{3,5}: (3+5)/2 = 4

{3,7}: (3+7)/2 = 5

{5,7}: (5+7)/2 = 6

Therefore, the means of all possible samples are:

2, 3, 4, 4, 5, 6

c) The sample mean of all possible samples can be calculated as follows:

Sample mean = (2 + 3 + 4 + 4 + 5 + 6) / 6 = 24 / 6 = 4

The sample mean is equal to the population mean. This is because the sample size is small and all possible samples have been considered. In general, as the sample size increases and more samples are considered, the sample mean will approach the population mean .

I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.

use the sample information X =36, 0=7,n=20 to calculate the following confidence interval for u assuming the sample is from a normal population

Answers

The 90 percent confidence interval for the population mean (μ) is (33.423, 38.577).

How to calculate the value

Confidence Interval = X ± Z * (s/√n)

Where:

s is the sample standard deviation.

Given:

X = 36

s = 7

n = 20

For a 90 percent confidence level, the Z-score is 1.645 (corresponding to the 0.05/2 critical values from the standard normal distribution table).

Plugging in the values:

Confidence Interval = 36 ± 1.645 * (7/√20)

Confidence Interval = 36 ± 1.645 * (7/√20)

= 36 ± 1.645 * (7/4.472)

= 36 ± 1.645 * 1.567

= 36 ± 2.577

Therefore, the 90 percent confidence interval for the population mean (μ) is (33.423, 38.577).

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use the sample information X =36, 0=7,n=20 to calculate the following confidence interval for u assuming the sample is from a normal population (a) 90 percent confidence

Carlos has a sales slip that show purchases of a briefcase for $59.99, 2 notepads at $0.59 each, and sales tax of 6 percent. What is the sales tax? What is the total purchase price?

Answers

Answer:Sales tax should be about $3.67 and total price of $64.84

Explanation:59.99+.59+.59=61.17 and then you have 6% sales tax which is 3.67 so add that all up and your total is $64.84 hope this helps.

Why was Aristarchus’s model not accepted? Select two options.

Answers

Answer:

This

Explanation:

It was not accepted because at the time it was believed that the earth was at the center of the universe.

Answer:

answer in picture

Explanation:

Why was Aristarchuss model not accepted? Select two options.

A room has to be painted and worker A does 1/3 of the work then leaves. Next worker B does 1/4 of the remaining work and then leaves and finally worker C does 1/5 of the remaining work and then leaves.
What fraction of the room still needs to be painted?
a)3/5
b)2/5
c)13/60
d)7/15

Answers

Answer:

2/5, or B.

Explanation:

Let's make the total work needed x. Then Worker A does 1/3x and 2/3x work is left for the other workers to do (we know this because 1-1/3 = 2/3). Thus, worker B comes and does 1/4 of the remaining work, which is 2/3x. So, worker B does 1/4*(2/3x), which gives you 1/6x. Then, to find the work left over for worker C, we subtract 1/6x from 2/3x, which gives us 3/6x, or 1/2x. Then. worker C does 1/5 of 1/2x, giving us 1/5*(1/2x), which is 1/10x. To find the remaining work, we do 1/2x - 1/10x to get 4/10x, which simplifies to 2/5x. Therefore, the answer is 2/5, or B.

Using the appropriate arithmetic operation, the fraction of the room which still needs to be painted is :2/5

Initial fraction = 1

Worker A : = 1/3

Fraction left = 1 - 1/3 = 2/3

Worker B : = 1/4

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

Fraction left = 2/3 - 1/6 = (4 - 1)/6 = 1/2

Worker C : = 1/5

Fraction left = 1/2 - 1/5(1/2)

Fraction left = 1/2 - 1/10 = (5 - 1)/10 = 4/10 = 2/5

Hence, the fraction of the room left to be painted is 2/5

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