A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.

Answers

Answer 1

Answer:

The answer is "0.30%"

Step-by-step explanation:

To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.

There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.

The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.

[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]

[tex]\to 0.00309597523 \approx 0.30 \%[/tex]


Related Questions

The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup

Answers

Answer:

Note: The full question is attached as picture below

a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.

b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6

c. For carbohydrate content of 29 grams,

Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram

d. Residual value= Actual value - Predicted value

8.556 = Actual sugar content - 10.444

Actual sugar content = 8.556 +10.444

Actual sugar content = 19

So, the Raisin Bran actually have 19 grams of sugar per cup.

2/3 times (-4/5) I have no idea lol

Answers

Answer:

-8/15

Step-by-step explanation:

That's your answer

The heights, in inches, for 120 people (male and female) have been measured. The results are presented:Heights sample data: 66.13 65.84 69.19 61.94 68.86 65.66 70.19 59.54 70.29 62.64 67.59 61.29 66.34 65.19 62.7 64.96 70.35 71.36 70.29 62.21 73.46 65.74 66.22 64.28 66.56 66.5 68.55 67.01 61.13 66.93 63.98 65.88 66.02 69.86 65.5 61.14 62.27 64.93 66.04 71.74 68.69 65.27 67.39 66.01 67.51 67.41 67.62 66.2 65.25 64.78 68.87 68.5 67.17 62.62 61.76 63.41 64.73 65.22 62.14 68.19 67.59 68.64 66.3 66.34 65.66 63.14 69.68 68.07 63.1 66.86 62.2 69.44 65.35 61.53 59.7 61.12 69.98 66.52 63.27 65.69 70.76 68.02 69.35 65.45 70.28 62.04 69.28 63.45 67.52 63.37 64.47 68.82 73.15 62.47 65.56 68.28 67.66 63.81 66.39 69.88 67.26 65.5 66.33 65.75 68.83 71.8 64.6 69.95 66.8 70.82 66.71 67.11 69.23 70.71 64.32 67.18 65.1 64.79 62.58 67.2 a)Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean

Answers

Answer:

70.4

Step-by-step explanation:

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Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answers

Answer:

The answer is D slope = -3 y-intercept = -2

Step-by-step explanation:

Answer

D.

Step-by-step explanation:

The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded. Which linear inequality is represented by the graph?

Answers

Answer:

y>3x+2

Step-by-step explanation:

1. use y2-y1/x2-x1 to find the slope (3)

2. since the y-intercept is already give as (0,2) we have the equation y=3x+2

3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2

Answer:

Beans

Step-by-step explanation:

Select two expressions that are equivalent to 8(5t + 7v)

Answers

Answer:

what are the answer choices?

Step-by-step explanation:

no choices, no answer

Answer:

A and D are the correct answers hope this helps :)


lan worked 25 hours at the grocery store last week and 36 hours this week.
What is the percent change?
O 44% Increase
O 44% Decrease
O 31% Increase
O 31% Decrease

Answers

31% Increase

25/36=0.69

100 - 0.69 = 0.31

The hours increased

1.ABCD is a rectangle.its diagonals meet at O.lif AO = 5x-1 and BO =
4x+9.find the length of the diagonals.(lengths in cm)​

Answers

Answer:

[tex]Length = 98[/tex]

Step-by-step explanation:

Given

[tex]AO = 5x - 1[/tex]

[tex]BO = 4x + 9[/tex]

Required:

The length of the diagonal

Since AO and BO are diagonals that meets at O, we have:

[tex]AO=BO[/tex]

This gives

[tex]5x - 1 = 4x + 9[/tex]

Collect Like Terms

[tex]5x - 4x = 1 + 9[/tex]

[tex]x = 10[/tex]

Subsitute 10 for x in [tex]AO = 5x - 1[/tex]

[tex]AO = 5 * 10 - 1[/tex]

[tex]AO = 50 - 1[/tex]

[tex]AO = 49[/tex]

The length of the diameter is:

[tex]Length = AO * 2[/tex]

[tex]Length = 49 * 2[/tex]

[tex]Length = 98[/tex]

Which point on the diagram shows the minimum value of y?

Answers

Answer:

Step-by-step explanation:

ok

You purchase 2.4 meters of nylon cord to make 8 friendship bracelets. How many centimeters are in each bracelet?
A. 0.3 cm
B. 3 cm
C. 7.2 cm
D. 30 cm

Answers

Answer:

A. 0.3 cm

Step-by-step explanation:

2.4m÷8=0.3cm

2.4 meters devide by 8 equals to 0.3 centimeter

Answer:

Step-by-step explanation:

30 cm is the correct answer

1. Which of the following expressions when evaluating yields 5?
a. 10x3 + 6
b. 5 -5 x 6
c. 24 - 6 - 12

Answers

Answer:

b

Step-by-step explanation:

10x3+6= 36

5-5x6= -25

24-6-12=6

Use the commutative property to write an expression equivalent to -5d + 1/2.

Answers

Answer:

1/2 + -5d

Step-by-step explanation:

find the sequence 13, __, 33, __, 53

Answers

Answer:

Each new number adds 10 (you could also write the equation 3 + 10n where n is the position of the number in the sequence)

The blanks are 23 and 43

Step-by-step explanation:

In two numbers it goes up by 20, so in one it will go up by 10.

This means the blanks are 13 + 10 = 23 and 33 + 10 = 43

The it’s 13, 23, 33, 43, 53, 63 it is adding by 10

What is the solution of the equation x2 = 64?

Answers

Answer:

8

Step-by-step explanation:

8 * 8 = 64

Hope this helps!

5x-4y =-10 what is x and y i need the numbers

Answers

Answer:

x=2(2y-5) over 5 , y=-5(-x-2) over 4

Pavan saves $x each month.His two brothers each save $4 more than Pavan each month.
Altogether the three boys save $26 each month.
(a) Write down an equation in x.

Answers

Answer:

a)(4+x) + (4+x) + x= 26

b) x=6

Step-by-step explanation:

pavan=x

brother 1=4+x

brother 2=4+x

brother 1=brother 2

a)

(4+x) + (4+x) + x= 26

b)

(4+x) + (4+x) + x= 26

=> 8+3x=26

=>

take 8 to 26

=>

3x=26-8=18

take 3 to 18 side

x=18/3=6

therefore pavan saves 6$ per month

Solve for x: -8 < x - 1 < 5

Answers

Answer: −7<x<6

Step-by-step explanation:

−8<x−1<5

−8+1<x−1+1<5+1(Add 1 to all parts)

−7<x<6

Fill in the missing numbers to write an equation for each linear table. Helppp please

Answers

16,-2 would be the answer I believe

Find the product: 4 2/5 x 5 1/2 =



Answers

Answer:

4 2/5 x 5 1/2 = 24.2

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!

Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ? Neeed this fast asap




15°


30°


45°


75°

Answers

Answer:

B,30

Step-by-step explanation:

Answer:

B,30°

Step-by-step explanation:

A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.

A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°

D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°

E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°

Answers

Answer:

A:  angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B:  angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

D:  angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°

Step-by-step explanation:

The sum of opposite angles of a cyclic quadrilateral is 180°

It must satisfy the following:

A+C=180° and B+D=180°

Only choice A and B and D satisfy.

The correct options are options A, B, and D.

What is a cyclic quadrilateral?

A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.

A) ∠A =90°

∠B=90°

∠C =90°

∠D =90°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

B) ∠A =80°

∠B=80°

∠C =100°

∠D =10 0°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.

C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.

D) ∠A + ∠C = 180°

∠B + ∠D =180°

So,  this quadrilateral can come from a cyclic quadrilateral.

E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.

Therefore, The correct options are options A, B, and D.

To get more about the cyclic quadrilateral visit:

https://brainly.com/question/24142962

Write the expression
a2b3c2d in expanded
form.

Answers

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a sport now 1/4 of the students play a sport how many students are in your class now

Answers

Answer:

60

Step-by-step explanation:

last year 1/5 of the class played sports, so s = (1/5) c

the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)

To solve this we can substitute s = (1/5)c from the first equation into the second, so

((1/5)c + 5)=(1/4)(c+10), simplify both sides

(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2

(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)

4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides

50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60

2 kilometers to 72 meters write each ratio in simplest form

Answers

Answer: It is 136.

Step-by-step explanation:

2 kilometers to 72 meters simplest form is 1:36.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where x is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

1. To Find common denominator:

2 x 2/ 72 x 2

Commonest denominator: 2

2. Divide the two terms:

2 x 2 = 2/ 72 = 36

3. Convert into rate form:

1:36

Therefore, 2 kilometers to 72 meters simplest form is 1:36.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

3/4 ÷ 1/5 = ??????????​

Answers

Answer:

15/4 or 3 3/4

Step-by-step explanation:

3/4 x 5/1 = 15/4

Answer:

[tex]\frac{15}{4}[/tex]

Step-by-step explanation:

turn [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5}[/tex] into

multiply the denominators and then multiply the numerators

3 x 5 = 15

4 x 1 = 4

the fraction is [tex]\frac{15}{4}[/tex]

hope this helps :)

(40 points) please help the owners of pet store plan to purchase some hamsters and some rabbits. Each hamster costs 15 and each rabbit costs 25 each. the owners have at most 300 to spend

Answers

10 hamsters and 6 rabbits

Answer:

10 hamsters and 6 rabbits

Step-by-step explanation:

if you take 10x15 for the hamsters you get $150 and then if you take 25x6 you get $150 for the rabbits then add those two numbers and you get $300.

What is the y intercept of the graph
A. -2
B. 2
C. -4
D. 4

Answers

Answer:

option C = -4

Step-by-step explanation:

Because the line is in the y-axis of -4

ANSWER:

Option C) -4

REASON:

the line is on the Y axis of -4

what is the answer please really stuck ​

Answers

Answer:

X is 30

Step-by-step explanation:

X is 30

23 plus 8 times 2

X=30 I hope it helps you

A total of 472 tickets were sold. They were either adult tickets or student tickets. The number of student tickets were 3 times tge number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

adult tickets = 118

student tickets = 354

Step-by-step explanation:

a = number of adult tickets

s = number of student tickets

a + s = 472

3a = s

substitute for s

a + 3a = 472

reduce

4a = 472

divide by 4

4a/4 = 472/4

a = 118

s = 354

A park planner is designing a dog park

Answers

Answer:

Un planificador de parques está diseñando un parque para perros

Can you please elaborate? I’ll be glad to help ya!
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