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.
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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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.
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
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40% of N is 80. Find N
Answer:
i think N=32
Step-by-step explanation:
What is measure 1, 2, 3, 4, 5?
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:
could you explain how to find this?
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
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.
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
HELP MEEEE (and dont steal its just wrong) i really need help tho.
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!
~AH1807Temperature of 7 degrees below 0
Answer:
huh? do you mean -7?
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
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]
Find the value of x.
m2 = x + 67
Answer:
x=m2-67
Step-by-step explanation:
Answer:
x=m2-67
is the actual answer I
How do you solve this??
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'sThis 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.
Please help me and don’t look on the internet
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).
if -
3- 12, what is the value of x?
4
00
O 18
0 24
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.
Which is an equation for the line that passes through the points (-3, 13)
and (2,-2)?
Answer:
y=-3x+4
Step-by-step explanation:
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 ).
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.
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Francis walked 450 feet.Trey walked 6 yards less than Francis.How many yards did Trey walk
Answer:
432
Step-by-step explanation:
1 yard=3 feet
6 x 3=18
450 - 18=432
Please:
Please give me brainliest.
PLZ HELP ME BRAINLIEST IF CORRECT
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
evaluate the expression when n=-4
n^2+5n+7
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
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
Answer:
x = 4 or D
Step-by-step explanation:
3x - 6 = 6
Solve for x
3x = 12
x = 4
HALP PLAS NEED HALP PLESAAA
Answer:
the answer is 32
Step-by-step explanation:
ywwwww
Answer:
the answer is 32..... 32
If the height of a cylinder is 24 mm and the radius is 8 mm what's the volume
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
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
Answer:
Reggie travels a speed of 55 miles an hour
Step-by-step explanation:
What does the transformation f(x)↦f(x)+3 do to the graph of f(x)?
Answer:
It moves the line up 3 units
Step-by-step explanation:
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
Answer:
B. -14
Step-by-step explanation:
sana maka tulong ako sayo
at ano ba ang grade nyo
ab and bc length and midpoint
which ordered pair is the solution of the system of equations shown?
y= -x + 5
y= 5x-6
Answer(1.833,3.167)
Step-by-step explanation:
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
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:
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.
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Can somebody explain this?
Answer:
(xy+5)/(xy+3)
Step-by-step explanation:
Given a ratio of rational expressions, you want the simplified version.
SimplifyingThe 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]
Compare the two numbers - 7.5 and -7
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
If the relationship is proportional, what is the missing value from the table?
х
8
9
16
14?