Answer:
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
Where x' is the sample mean, s is the population standard deviation, n is the sample size and is the z-score that let a proportion of
on the right tail.
is calculated as: 100%-99%=1%
So,
Finally, replacing the values of x' by 308, s by 17, n by 15 and by 2.576, we get that the confidence interval is:
Answer:
The network model is attached.
Step-by-step explanation:
Total Demand from each Gas Company are:
Southern Gas, 500 units;
Northwest Gas, 400 units.
Total Supplies to each County are:
Hamilton County, 400 units;
Butler County, 200 units;
Clermont County, 300 units.
The distribution costs per unit (in thousands of dollars) are as follows
-----------Hamilton-- Butler-- Clermont
Southern Gas--- 10 ---20--- 15
Northwest Gas ----12 ----15---- 18
The network representation of these information is given in the attachment.
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.