Answer:
can we have more info please?
Step-by-step explanation:
Here is my working of the problem.
Answer: 16 hours
Step-by-step explanation: Find the remaining number of pages David must write
24-16=8
Daniel must write 8 more pages
Find how long it takes Daniel to write one page
Since it takes Daniel an hour to write half a page, it takes him two hours to write a full page
Multiply how long one page takes by the remaining number of pages
2 x 8=16
It will take 16 more hours to write the total of 24 pages
Answer:
The value of mean is ![\mu = 15.64](https://tex.z-dn.net/?f=%5Cmu%20%3D%2015.64)
Step-by-step explanation:
The normal distribution of the soft-drink dispensing machine can be stated statistically like
~ ![N (\mu ,0.191^2)](https://tex.z-dn.net/?f=N%20%28%5Cmu%20%2C0.191%5E2%29)
The standard form representation is
![P(X](https://tex.z-dn.net/?f=P%28X%3Cx%29%20%3D%20P%28Z%3Cx-%20%5Cfrac%7B%5Cmu%7D%7B%5Csigma%7D%20%29)
Now we need to obtain
in such a way that
![P(X>16) = 0.01](https://tex.z-dn.net/?f=P%28X%3E16%29%20%3D%200.01)
In standard form
Since
![P(Z>16 -\frac{\mu}{0.191} ) = 0.03](https://tex.z-dn.net/?f=P%28Z%3E16%20-%5Cfrac%7B%5Cmu%7D%7B0.191%7D%20%29%20%3D%200.03)
This means
![P(Z](https://tex.z-dn.net/?f=P%28Z%3C16%20-%20%5Cfrac%7B%5Cmu%7D%7B0.191%7D%20%29%20%3D%200.97)
Now looking at the z-table for probability of 0.99 we obtain 1.88
i.e
Making ![\mu\ the \ subject](https://tex.z-dn.net/?f=%5Cmu%5C%20the%20%5C%20subject)
![16 - \mu = 1.88 *0.191](https://tex.z-dn.net/?f=16%20-%20%5Cmu%20%3D%201.88%20%2A0.191)
![\mu = 16 -(1.88*0.191)](https://tex.z-dn.net/?f=%5Cmu%20%3D%2016%20-%281.88%2A0.191%29)
![=15.64](https://tex.z-dn.net/?f=%3D15.64)
You have to set these up in proportions to solve these problems. Then cross multiply and divide.
1. 3 = 15
12 = x
3x = 15 * 12
3x = 180
x = 180 ÷ 3
x = 60
Answer: 12 miles in 60 minutes (B)
2. 366 = 6
427 = x
366x = 427 * 6
366x = 2562
x = 2562 ÷ 366
x = 7
Answer: 427 miles in 7 hours (C)