Standard deviations of the four activities of the critical path are 1,2,4,2.
Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path
Standard deviation of critical path 
Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.
That is, we need to find P(X<38) :
Probability 
Thus the probability that the project will be completed in 38 weeks is 0.34.
Answer: -1.55
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Sample mean : 
The test statistic for the population mean is given by :-
Hence, the value of z statistic = -1.55
Answer:
12 minutes
Step-by-step explanation:
Candles can be manually packed at the rate of ...
... (400 candles)/(36 minutes) = 11 1/9 candles/minute
The two systems together pack candles at the rate of ...
... (400 candles)/(9 minutes) = 44 4/9 candles/minute
Then the machine's packing rate is the difference between the total and the manual rates:
... machine rate = (44 4/9 candles/minute) - (11 1/9 candles/minute)
... = 33 1/3 candles/minute.
At this rate, the machine working alone can pack 400 candles in ...
... (400 candles)/(33 1/3 candles/minute) = (400/(100/3)) minutes
... = 400 × 3/100 minutes = 12 minutes
-- Reflecting across the x-axis makes all the x-coordinates the negative of
what they were before the reflection. The y-coordinates don't change.
-- Translating 2 units up makes all the y-coordinates 2 greater than
they were before the translation. The x-coordinates don't change.
You didn't give us a list of new coordinates, so there's nothing
to match with.
Answer:
Average speed is (total distance)/(total time).
To find the total time we need to do some division.
Time for 200 miles=200/50=4 hours.
Time for 100=100/40=5/2 hours.
Total time=13/2 hours. Total distance=200+100=300 miles.
Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.
