A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project

Answers

Answer 1

Answer:

The expected completion time of the project is:

10 days.

Step-by-step explanation:

Duration of Task A = 5 days

Task B and C depend on Task A

This implies that Task A must be completed before Task B and C can be started.

To complete Task B will take 5 days

To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)

Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.

Answer 2

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B &C are mutually dependent

What is the expected completion time of a task?

Expected completion time of a task= p1x1 + p2x2

Where

p1 & p2 are probabilities.

x1 and x2 are samples.

p1=p2=0.5

x1=7

x2=3

Expected completion time of task C= 0.5*7+0.5*3 = 5 days

Task B and C will be due till task A is not accomplished.

Total time to accomplish task A = 5 days

Total time  to accomplish task B= 5 days

Expected time to accomplish task C = 5 days

If tasks B and C are mutually independent

expected time to complete the project = 5+5=10days

If task C depends on task B

Expected time to complete the project = 5+5+5 = 15 days.

Therefore

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B and C are mutually dependent

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Related Questions

Put -4.8, -4/1 10, and -17/4 in order from LEAST TO GREATEST

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I think it’s -4/1 10, -4.8, -17/4 , 10 if ten wasn’t apart of -4/1 10 sorry if it’s not :/

3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)

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Answer:

*correct me if I'm wrong with the equation setup but I believe this is your answer.*

( 6 × n ) - 5 = 13

( 6 x n ) = 18

n = 3

1 inch equals 2.54 cm how many inches long is 45.72 centimeters​

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Answer:

18 inches equals 45.72 centimeters

Step-by-step explanation:

[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]

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Answer:

okKkAyYy

Step-by-step explanation:

Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many pieces of paper will he have?

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Answer:

The answer is 9.

Explanation: 21÷ 2 1/3= 9

Answer:

9

Step-by-step explanation:

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algebra 2
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Answers

Condense the logarithm on the right side:

[tex]3\log_b(p)-\left(2\log_b(t)+\dfrac12\log_b(r)\right)[/tex]

[tex]n\log_b(m)=\log_b(m^n) \implies \log_b(p^3)-\left(\log_b(t^2)+\log_b\left(r^{\frac12}\right)\right)[/tex]

[tex]\log_b(m)+\log(n)=\log_b(mn) \implies \log_b(p^3)-\log_b\left(t^2r^{\frac12}\right)[/tex]

[tex]\log_b(m)-\log(n)=\log_b\left(\dfrac mn\right) \implies \log_b\left(\dfrac{p^3}{t^2r^{\frac12}}\right)[/tex]

So,

[tex]x=\dfrac{p^3}{t^2r^{\frac12}}[/tex]

and [tex]r^{\frac12}=\sqrt{r}[/tex], which makes (4) the correct choice.

A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
(a) what would the variable (x) represent in this problem?

(1) the cost of the uniforms
(2) the number of basketballs purchased
(3) The number of uniforms purchased


(b) what is the total cost of the equipment and uniforms? |____________| (no symbols)

(c) write an equation to represent this problem. use x as your variable. |___________|

Answers

Answer:

Step-by-step explanation:

If a spider can move 1/2 of a mile every hour, then how many hours would it take for a
spider to go 4 miles?

Answers

Answer:

2

Step-by-step explanation:

   1/2x4=2

PLZ SOMEONE, ANYONE HELP ME WITH THIS, IT IS TIMED AND MY MATH TECHER IS STRICT!!!

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Answer:

a:

10

b:

-10 and 10

c:

8

Step-by-step explanation:

i could be wrong on c tho

May someone please show full work. How do I do this?
(Look at the image & zoom in)

! : any unnecessary comments will be reported

Answers

Answer:

9) x = 62 10) x = 61 11) x = 7

Step-by-step explanation:

9) x + 118 = 180

- 118. - 118

x = 62

10) 2x + 3 + x - 6 = 18

Add like terms

x = 61

11) x + 16 = 4x - 5

x = 7

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Answers

Answer:

Ok..

Step-by-step explanation:

Answer:

It’s fake

Step-by-step explanation:

1 2/3 X 2 5/8

Please helo

Answers

Answer:

The answer in whole number form is  4 5/8

Step-by-step explanation:


Which shows two products that both result in positive values?
(0.5)(-0.4) and (1,2)(-0,8)
(-0,5)(-0.4) and (1,2)(-0,8)
(0,5)(0.4) and (-1,2)(-0,8)
(0,5)(-0,4) and (1,2)(0,8)

Answers

Answer: A is the answer

Step-by-step explanation:

1/2x + 4=9
What does x equal?

Answers

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

Answer:

1/2x+4=9 is x=1/10

Step-by-step explanation:

theres no explanation

What is the sum of three hundredths plus two?

Answers

.3 tenths .03 hundredths...

Add two-2

.03 + 2

2.03

I feel like this isn’t the answer your looking for, perhaps you worded the question wrong?

Answer:

2.03

Step-by-step explanation:

how many solutions does the system have 6x+3y=-12 y=-2x+4

Answers

Answer: No solutions

Step-by-step explanation: These equations, when done by substitution, end up not equaling each other.

I’m stuck but the next drop down is above or below

Answers

Answer:

less; below

Step-by-step explanation:

We can change both fractions to improper fractions first for easier comparison.

-[tex]\frac{7}{5}[/tex] = -

-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{5}{5}[/tex] -

-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{6}{5}[/tex]

As you can see, -[tex]\frac{7}{5}[/tex] has a higher absolute value but both fractions are negative so it has a lesser value than -[tex]\frac{6}{5}[/tex] and thus would also be below -[tex]\frac{6}{5}[/tex].

PLEASE HELPPPPPP. I NEED IT DONEEEEE. ​

Answers

Answer:

1. Couples tickets: $8

   Individual tickets: $4

2. Song download cost: $2

    Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

[tex]2k = -5c + 48 \\k = -\frac{5}{2}c + 24[/tex]

Now that we isolated a variable we can plug that back in to the second equation:

[tex]3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8[/tex]

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

How do I substract 7/10 minus 3/15

Answers

Answer: 0.5

Step-by-step explanation:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 7/10 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

7 is a prime number;

10 = 2 × 5;

gcf (7; 2 × 5) = 1;

Answer:

First you have to find the common denominator

Next you take what you did to the bottom you gotta do to the top like if you 30 does into both them you multiple 3 times 2 cause you did that to 15 and multiply 7 times 3

Then you subtract

Step-by-step explanation:

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C) C

D) D

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Answer: I think the answer is D

Step-by-step explanation:

How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?

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Answer:

10

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yes

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What is the mole fraction of KCl in an
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Answers

Answer:

0.0794%

Subtract the 26.3 from 100 and get the amount for water giving you 73.7

Divide both from their molar masses

26.3/74.55=0.3528

73.7/18.016=4.0908

Add both answers, 0.3528+4.0908=4.4436

Divde the KCl total from the the total moles which gives you your final amswer

0.3528/4.4436=0.0794

Answer: 0.0794

Step-by-step explanation:

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Answers

I believe the answer is a = b+c^2/c(x-b)

Sorry if incorrect but hope this helps!
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A package of 8 notebooks cost $5. How much will 24 notebooks cost?
О.

Ос
12
15
10

Answers

Answer: B: 15

Step-by-step explanation:

Which of the following angles would not be congruent to the measure of ∠7? HELPPP!!!

Answers

Answer:

6, 2, & 3

Step-by-step explanation:

I hope that this answer helps, feel free to ask questions

Rank the following tools for measuring length from those that give the least precise results to the most precise results.

Highway mile marker

A yardstick

A length of a person's foot

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Answers

Answer:

option 3,4,2,1

Step-by-step explanation:


Highway mile marker

A five - foot long branch from a tree

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HIT THE QUANNN AY HIT THE QUANN I SAY GET DOWN LOW AND SPREAD YA ARMS

Answers

Answer:

ok

Step-by-step explanation:

2/3(1 + n) = -1/2 What is the value of n

will mark brainliest

Answers

Answer:

n = -1.75

As a fraction = -7/4

Step-by-step explanation:

1. A random sample of 200 items yields 35 that are non-conforming. Find the 90% confidence interval for the true population proportion non-conforming.

Answers

Answer:

(0.131) , (0.044)

Step-by-step explanation:

Given:

Total sample n = 200

Yield x = 35

Confidence level = 90%

Find:

Proportion non-conforming

Computation:

Proportion p = x / n

Proportion p = 35 / 200 = 0.175

Non Proportion q = 1 - p

Non Proportion q = 0.825

So,

z value of 90% is 1.64

So,

Proportion non-conforming

p ± [z√pq/n]

0.175 ± [1.64√(0.175)(0.825)/200

(0.131) , (0.044)

Step-by-step explanation:

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