Answer: the probability that the critical path for this project will be completed within 210 days is 0.99725
Step-by-step explanation:
Given that;
Work break down is;
Time Estimates (days)
Activity Precedes Optimistic Most Likely Pessimistic
Start A,B - - -
A C,D 44 50 56
B D 45 60 75
C E 42 45 48
D F 31 40 49
E F 27 36 39
F End 58 70 82
we know that;
Expected Time = ( Optimistic Time + ( 4 × most likely time) + pessimistic time) / 6
and
Variance = [( pessimistic time - Optimistic time) / 6 ]²
so
ACTIVITY EXPECTED TIME VARIANCE
A (44 + (4 × 50) + 56) / 6 = 50 ((56 - 44) / 6)² = 4
B (45 + (4 × 60) + 75) / 6 = 60 ((75 - 45) / 6)² = 25
C (42 + (4 × 45) + 48) / 6 = 45 ((48 - 42) / 6)² = 1
D (31 + (4 * 40) + 49) / 6 = 40 ((49 - 31) / 6)² = 9
E (27 + (4 * 36) + 39) / 6 = 35 ((39 - 27) / 6)² = 4
F (58 + (4 * 70) + 82) / 6 = 70 ((82 - 58) / 6)² = 16
ACTIVITY DURATION ES EF LS LF SLACK
A 50 0 50 0 50 0
B 60 0 60 30 90 30
C 45 50 95 50 95 0
D 40 60 100 90 130 30
E 35 95 130 95 130 0
F 70 130 200 130 200 0
FORWARD PASS:
ES = MAXIMUM EF OF ALL PREDECESSOR ACTIVITIES; 0 IF NO PREDECESSORS ARE PRESENT.
EF = ES + DURATION OF THE ACTIVITY.
CRITICAL PATH = PATH WITH THE LONGEST COMBINED DURATION VALUE AND 0 SLACK.
CRITICAL PATH = ACEF
DURATION OF PROJECT = 200
Now the probability
VARIANCE OF CRITICAL PATH = SIGMA(VARIANCE OF THE CRITICAL PATH) = 25
STANDARD DEVIATION OF CRITICAL PATH = SQRT(VARIANCE OF CRITICAL PATH) = 5
EXPECTED TIME = DURATION OF THE PROJECT = CRITICAL PATH = 200
DUE TIME = 210
Z = (DUE TIME - EXPECTED TIME) / STANDARD DEVIATION OF CRITICAL PATH)
Z = (210 - 200) / 5 = 2
Now form the Normal Distribution Table;
Z = 0.99725
Therefore, the probability that the critical path for this project will be completed within 210 days is 0.99725
If the function g(x) = f(x + 2), how can the graph of the function g(x) be obtained from the graph of f(x)?
by translating the graph of f(x) two units to the right
by translating the graph of f(x) two units to the left
by translating the graph of f(x) two units down
by translating the graph of f(x) two units up
Answer:
B). by translating the graph of f(x) two units to the left.
Translating a graph implies that the function of the graph is moved horizontally or vertically.
The true statement is (b) by translating the graph of f(x) two units to the left.
The function is given as:
[tex]\mathbf{g(x) = f(x + 2)}[/tex]
The rule of the above translation from f(x) to g(x) is represented as:
[tex]\mathbf{(x,y) \to (x + 2,y)}[/tex]
This means that:
Function f(x) is translated 2 units to the left to create function g(x).
Hence, the true statement is (b)
Read more about function translation at:
https://brainly.com/question/12100263
If line p has a slope of -1/2, what is the slope of a line ;
perpendicular to p? parallel to p?
Answer:
Parallel: -1/2
Perpendicular: 2
Step-by-step explanation:
The slope of a line parallel to another, always has the same slope as the line that it is parallel to.
The slope of a line perpendicular to another, always has the opposite reciprical to the line that it is perpendicular to.
Show below is a blueprint for a rectangular kennel at a pet hotel.
What is the total length of fencing needed to enclose the kennel?
Answer:
74 feet
Step-by-step explanation:
You're searching for perimeter
P = 2( L + W)
P = 2( 24 + 13)
P = 2( 37)
P = 74
2/3 + 2 and 1/6 i need help pleade
Answer:
-1 1/2
Step-by-step explanation:
So first convert the 2/3 into a LCM of 2 1/6 which will be 4/6
Then convert 2 1/6 into an improper fraction
You’d get
4/6-13/6
Solve normally
-9/6
-1 3/6
-1 1/2
Work out the area of this triangle, stating the units of your answer.
What is the total area of this polgon? PLEASE HELP
Answer choices
A)77
B)86
C)96
D)108
Answer:
96
Step-by-step explanation:
simple subtraction and multiplication
Answer:
my answer is c
Step-by-step explanation:
A tank that is 30% full contains 651 gallons of water. How much water does the tank hold when it is full?
Question 1 options:
1,620 gallons
2,160 gallons
1,627.5 gallons
2,170 gallons
last one 2170
Answer:
651=30 percent
x=100 percent
x=( 100×651)/30=2170 gallons
Answer:
2,170 gallons
Step-by-step explanation:
First you can see that at 30% we have 651 gallons so you want to multiply it by three because we are trying to get to 100% after you multiply it by three we have found out how much it is filled at 90% which is 1953 so then you want to divide 651 by 3 because all we need is 10 more percent to make it to 100% and 1/3 of 30% is 10% and 10% of 651 is 217. Finally all you have to do is add 217 and 1953 and you get 2,170 gallons.
Hope this helps!
simple math! (i'll mark you)
Answer: 20% of 248.00 is the same as 10% + 10% of 248 and the answer is 49.6
Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.
is 15.19 less than 15.162?
Answer:
No it is more
Step-by-step explanation:
Answer:
no 15.19 is greater than 15.162
What is the mean high temperature for this week
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
what is the sum of natural numbers less than 200 neither divisible by 3 nor by 5
Step-by-step explanation:
The required sum
=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)
=2199(1+199)−266(3+198)−239(5+195)+213(15+195)
=199×100−33×201−39×100+13×105=10732
Answer:
10732
So the sum of all natural numbers less than 200 that are divisible by neither by 3 nor by 5 is 10732.
Step-by-step explanation:
Mak brainilist
The radius of a circle is 19cm find its area in terms of π
HELP!!
Given 3 is a leg of a right triangle and 13 is the hypotenuse, what is the length of the other leg of the right triangle? Round
your answer to the nearest hundredth (2 decimal places)
Answer:
12.64 (unrounded)
Step-by-step explanation:
formula; a^2+b^2=c^2
you have your given which is 3 and hypotenuse of 13
plug in 3^2+b^2=13^2
solve 9+b^2=169
subtract 9 to the right side
169-9=160
bring down b^2=160
get rid of the square so [tex]\sqrt{160}[/tex]
which will be 12.64 unrounded
39÷4=? R ? What is the remainder for 39÷4 all i'm asking for is just the remainder.
Answer:
3
Step-by-step explanation:
im pretty sure hope this helps
Answer:
9.75
Step-by-step explanation:
9 R 3
Im here to steal ur points (and answer ur question)
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
small dogs= 5
large dogs= 3
Step-by-step explanation:
Step one:
given data
let the number of small dogs be x
and the number of large dogs be y
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.
He walked 8 dogs and made a total of $49
so
5x+8y=49----------1
x+y=8---------------2
x=8-y
5(8-y)+8y=49
40-5y+8y=49
collect like terms
3y= 49-40
3y=9
divide both sides by 3
y=9/3
y=3
put y= 3 in eqn 2
x+3=8
x=8-3
x=5
50 points but take out the 0
Find the measure of angle x in the figure below:
60°
50°
110°
70°
Answer:
it should be 70
Step-by-step explanation:
Please help me I need this answer
Answer:
Then answer is 10.
Step-by-step explanation:
9 would cover 1,800 square feet so 925 square feet would be left so you should buy 10 cans.
Answer:
10
Step-by-step explanation:
1 Can= 200 sq ft
x cans= 1925 sq.ft
x= 1925/200
= 9.6 ~ 10 sq. ft
Can the sides of a triangle have lengths 8, 13, and 20?
Answer:
yes but not if those numbers are the sides
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The sum of any two sides of triangle should be more than the third side.
8 + 13 = 21 > 20
13+20 = 33 > 8
8 + 20 = 28 > 13
if 3 3/4 pounds of candy cost $11.25 how much would 1 pound of candy cost
Answer:
3
Step-by-step explanation:
11,25:3 3/4 = 11,25:3,75 = 3
i giveeeeeeeeeeeeeeeee brainlilstttttt
Answer:
I think the answer is b or c
Answer:
It's the first one
Step-by-step explanation: give me brainlist LOL
I need help with this
30 points,
please solve for x asap
-2/3(4x-2) = 3x+7
Answer:
7
Step-by-step explanation:
77777777777 and then you multiply
Name a pair of complementary angles.PLSS HELP
A. angles BEA and CEB
B. angles FED and CED
C. angles EDF and BEA
D. angles AEB and BED
It's A I'm 100% suee
Answer:
The pair of complementary angles is A (BEA and CEB)
Step-by-step explanation:
Complementary angles are two angles beside each other that add up to 90 degrees. Basically, a 90 degree angle is split in 2.
Bianca is completing a bike race. The following table represents her biking information Find her slope and y-intercept.
Answer:
Give me the equation, graph, or the table, and I will do it pronto.
Step-by-step explanation:
Please mark as Brainliest!!!what is the distributive form of 5 (a - b)
Answer:
5a-5b
Step-by-step explanation:
hope this helps :))
Kara bought a chain originally marked $39.70. The
salesclerk told her she would get a 22% discount. How much
money did she save?
$8.73
$7.24
$30.97
$28.70
Airlines A and B each operate one flight per day between the cities of Hartford and Chicago; the daily passenger volume between the two cities is 350. Because the quality of service and departure times for both airlines are similar, we assume that passengersselect the flights with equal probability and independently of one another.
Required:
a. Let X denote the number of passengers on the flight operated by airline A. Describe the exact distribution of X; name it and identify the parameters.
b. If the plane for airline A carries 210 seats there is a positive probability that more than 210 passengers will turn up, in which case not all passengers can be accommodated. Estimate the probability of "overbooking"
c. Denote by n the minimum number of seats the aircraft should contain if it is desired that the probability of exceeding the seating capacity be less than 0.01. Find n
Answer:
X ~ (350, 0.5)
0.00009
Step-by-step explanation:
Given that:
Daily passenger volume = 350
Since both airlines A and B have equal probability ;
p = 0.5
n = 350
X ~ (n, p)
X ~ (350, 0.5)
B.)
Mean, m= np = 350 * 0.5 = 175
Standard deviation, s = sqrt(np(1-p)) = sqrt(350*0.5*0.5) = sqrt(87.5)
Obtaining standardized score, Z
Z = (x - m) / s
x = 210
Z = (210 - 175) / sqrt(87.5)
Z = 35 / sqrt(87.5)
Z = 3.74
P(Z > 3.74) = 0.00009 (Z probability calculator)
2 quarts of milk cost $2.52. How much does one quart cost?
Answer:
1.26 is the price of one mile
Answer:
1 quart is $ 1. 26
Step-by-step explanation:
2.52 dived by 2
The bottom of a boat lles 7 feet below the surface of the water the boat stands 18 feet above the surface of the water.
Which expression can be used to find the difference between the two values?
07-18
18-(-7)
18 - 7
07+ (-18)
Answer:
18-(-7)
Step-by-step explanation: