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

ab and bc length and midpoint

Answers

Is there a picture of the figure?

The sum of two linear functions yields a new linear function. Find the sum of f(x) and g(x) given that f(x) = 3x-7 and g(x) =-10x + 1. Call this new function h(x). Write the equation for h(x) below.

Answers

Answer:

Step-by-step explanation:

in simple language h(x) = f(x)+ g(x)

=f(x) +g(x)

h(x)=(3x-7)+(-10x+1)

h(x)= 3x-10x-7+1

h(x)=-7x-6 is yournew derived function

HALP PLAS NEED HALP PLESAAA

Answers

Answer:

the answer is 32

Step-by-step explanation:

ywwwww

Answer:

the answer is 32..... 32

Please help me and don’t look on the internet

Answers

Question 1

[tex]\left(\frac{-5+2}{2}, \frac{5-5}{2} \right)=\boxed{\left(-\frac{3}{2}, 0 \right)}[/tex]

Question 2

Let the coordinates of the other endpoint be (x,y).

[tex]\left(\frac{x + 4}{2}, \frac{y+8}{2} \right)=( - 6,4) \\ \\ \implies \frac{x + 4}{2}=6 \implies x= - 16\\ \\ \frac{y+8}{2}=4 \implies y=0[/tex]

So, the coordinates of the other endpoint are (-16,0).

Which is an equation for the line that passes through the points (-3, 13)
and (2,-2)?

Answers

Answer:

y=-3x+4

Step-by-step explanation:

The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answers

I set up a proportion, the answer should be x=21

HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!

Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45

Answers

Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo

Find the value of x.
m2 = x + 67

Answers

Answer:

x=m2-67

Step-by-step explanation:

Answer:

x=m2-67

is the actual answer I


You have a plate of 40 cookies. Ten have chocolate chips and 15 have pecans. Of the cookies mentioned in the preceding
sentence, four have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has
chocolate chips or pecans?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
probability your cookie has chocolate chips or pecans:

Answers

Using Venn probabilities, there is a 0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For this problem, the events are given as follows:

Event A: Chocolate chips.Event B: Pecans.

From the text, the probabilities are given as follows:

[tex]P(A) = \frac{10}{40}[/tex].[tex]P(B) = \frac{15}{40}[/tex][tex]P(A \cap B) = \frac{4}{40}[/tex]

Hence the "or probability" is given by:

[tex]P(A \cup B) = \frac{10}{40} + \frac{15}{40} - \frac{4}{40} = \frac{21}{40} = 0.525[/tex]

0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

More can be learned about Venn probabilities at https://brainly.com/question/25698611

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Francis walked 450 feet.Trey walked 6 yards less than Francis.How many yards did Trey walk

Answers

Answer:

432

Step-by-step explanation:

1 yard=3 feet

6 x 3=18

450 - 18=432

Please:

Please give me brainliest.

could you explain how to find this?​

Answers

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h. i hoped this helped sorry if it didnt

which ordered pair is the solution of the system of equations shown?
y= -x + 5
y= 5x-6

Answers

Answer(1.833,3.167)

Step-by-step explanation:

HELP MEEEE (and dont steal its just wrong) i really need help tho.

Answers

Answer: 3) two angles are opposite angles

Step-by-step explanation:

Answer:

Angles opposite to congruent sides are congruent.

Step-by-step explanation:

According to a particular theorem:

1) Sides opposite to equal angles are congruent.

2) Angles opposite to equal sides are congruent.

Here, We have been given that LO ≅ PO

So, The angles opposite to these sides will also be equal.

Such that:

∠MOL ≅ ∠NOP

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

PLZ HELP ME BRAINLIEST IF CORRECT

Answers

Answer:

Izi. (1,2)

Step-by-step explanation:

Just look at the graph and see where the x and y meets together when the line is being crossed

Can somebody explain this?

Answers

Answer:

  (xy+5)/(xy+3)

Step-by-step explanation:

Given a ratio of rational expressions, you want the simplified version.

Simplifying

The colon separating the two expressions is one of the ways a ratio is written. In this context, it can be replaced by "divided by" (÷). Of course, the division is carried out in the usual way: multiplying by the inverse of the denominator.

The product is simplified by cancelling common factors. This requires each of the polynomials be factored.

  [tex]\dfrac{x^2y^2-4}{x^2y^2+xy-2}\div\dfrac{x^2y^2+xy-6}{x^2y^2+4xy-5}=\dfrac{x^2y^2-4}{x^2y^2+xy-2}\times\dfrac{x^2y^2+4xy-5}{x^2y^2+xy-6}\\\\=\dfrac{(x^2y^2-4)(x^2y^2+4xy-5)}{(x^2y^2+xy-2)(x^2y^2+xy-6)}=\dfrac{(xy-2)(xy+2)(xy-1)(xy+5)}{(xy-1)(xy+2)(xy-2)(xy+3)}\\\\=\boxed{\dfrac{xy+5}{xy+3}}[/tex]

if -
3- 12, what is the value of x?
4
00
O 18
0 24

Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{12}[/tex]

We make the denominator the same by multiplying [tex]\frac{2}{3}[/tex] by 4.

[tex]\frac{8}{12}[/tex] = [tex]\frac{x}{12}[/tex]

Thus, x = 8.

40% of N is 80. Find N

Answers

Answer:

i think N=32

Step-by-step explanation:

A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.4. The smallest sample size n that provides the desired accuracy is

Answers

Answer:

The sample size will be "[tex]102.5494 \sim 102[/tex]". A further explanation is given below.

Step-by-step explanation:

Let the sample size will be:

= n

The given values are:

Standard deviation,

= 1.4

ME,

= 0.3

As we know,

⇒ [tex]n=(Z \frac{a}{2}\times \frac{SD}{E})^2[/tex]

On putting the estimated values, we get

⇒    [tex]=(2.17\times \frac{1.4}{0 .3})^2[/tex]

⇒    [tex]=(\frac{3.038}{0.3})^2[/tex]

⇒    [tex]=102.5494 \sim 102[/tex]

How do you solve this??

Answers

Answer:

0.51

Step-by-step explanation:

Considering the residents aged 50 or over, there are:

507 high school only2652 some college1958 bachelor's1392 master's

This means that there are a total of 3350 people out of the 6509 that meet the required conditions, and thus the answer is 3350/6509, which is about 0.51.

If the relationship is proportional, what is the missing value from the table?
х
8
9
16
14?

Answers

Answer: I think it is 12

What does the transformation f(x)↦f(x)+3 do to the graph of f(x)?

Answers

Answer:

It moves the line up 3 units

Step-by-step explanation:

Maggie and her friends played an online trivia game. Their scores at the end of the game were −1, 3, 0, −2, 1, −3, and 4 points. a. List the scores in order from greatest to least. b. Write an inequality to show the relationship between the largest and the smallest value. c. Write a statement that interprets the inequality you wrote as a statement about the relative position of those numbers on a number line.

Answers

The scores in order from the greatest to the least is 4, 3, 1, 0, -1, -2, -3.

The inequality that shows the relationship between the greatest and least number is 4 > -3.

On the number line, four is greater than -3.

What is the number listed from greatest to least?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. Examples from integers are 0, -1 and 1.

The farther a positive number is from zero on the number line, the greater the positive number. The closer a negative number is to zero on the number line, the greater the negative number.

For example, 10 is greater than 4 because 4 is closer to 0 when compared to 10. -4 is greater than -10 because -4 is closer to 0 than -10 on the number line.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used to show the relationship between the greatest and the least number is the greater than sign (>)

4 > -3

To learn more about integers, please check: https://brainly.com/question/21493341

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What is the solution to this equation?
3x - 6 = 6
O A. x = 3
O B. x = 11
O C. x = 2
O D. x = 4
please someone help

Answers

Answer:

x = 4 or D

Step-by-step explanation:

3x - 6 = 6

Solve for x

3x = 12

x = 4

Compare the two numbers - 7.5 and -7 ​

Answers

Answer:

Well -7>-7.5

Step-by-step explanation:

Negative numbers are that the Humber that is closest to 0 is the greatest. Like in -7 and -7.5, the -7 is closer to 0 so its greater.

Answer:

the answer to your question is -7.5<-7

you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).​

Answers

Answer:

$4,750.

Step-by-step explanation:

To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:

X = 1,600 x (1 + 0.115) ^ 10

X = 4,751.91

Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.

The rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Rent of the apartment:

Let x represent the rent  of the apartment

Hence:

x= 1,600(1 + 0.115)^10

x=1,600(1.115)^10

x=4,751.9

Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Learn more about rent here:https://brainly.com/question/2281972

Amber is saving money to buy a bicycle She saves $60 her
grandfather gave her, and plans to save an additional $5 each
week. How much will Amber save after w weeks?
Total savings
Use a bar diagram to represent the amount
Amber will save after w weeks.
$60
Amber will save 60 + 5w dollars
after w weeks
Money from grandfather
Weekly
savings
Reggie drives 10 miles from the airport to the highway. Once on the highway, he drives at
a speed of 55 miles per hour. What is Reggie's total distance from the airport h hours after
reaching the highway?
1. Complete the bar diagram.
Total distance
55 miles per hour
Distance
traveled to
highway
Hourly distance on highway

Answers

Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

evaluate the expression when n=-4

n^2+5n+7

Answers

Answer:

3

Step-by-step explanation:

When n= -4 we replace in the given formula and evaluate the answer as shown below:

(-4)^2 + 5 (-4) + 7 = 16 - 20 + 7 = 3

Temperature of 7 degrees below 0​

Answers

Answer:

huh? do you mean -7?

Step-by-step explanation:

What is measure 1, 2, 3, 4, 5?

Answers

1 = 27
2 = 27
3 = 27
4 = 27
5 = 126

Answer:

The triangles formed are iscocleles triangles making their bases the same angle measures. Additionally, RST anf RGT are congruent since they are each equal to 1/2 of RQTS

We also know that the interior angles of any triangle add up to 180°

Therefore,

m<R + m<T + 126 = 180

m<R + m<T = 54

Since m<R and m<T are equal, R and T must be equal to 27

m<R=27

m<t=27

Therefore,

m<1=27

m<2=27

m<3=27

m<4=27

m<5=126

Step-by-step explanation:

If the height of a cylinder is 24 mm and the radius is 8 mm what's the volume

Answers

Answer:

V ≈ 4825.49 cubic mm

Step-by-step explanation:

equation to find volume of cylinder: V = pi * r^2 * h

r = radius

h = height

plug given numbers into equation

r = 8

h = 24

V = pi * r^2 * h

V = pi * (8)^2 * 24

V = pi * 64 * 24

plug into calculator

V≈ 4825.49 cubic mm

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