Answer: 24.9793
Step-by-step explanation:
Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.
For this sample, he calculated a mean
and a standard deviation of 100.
The 95% confidence interval results in an interval of 
We know that the confidence interval for population mean is given by :_
, where E is the margin of error.
By comparing this to the given interval , we find that the margin of error = 24.9793
21.6 meters per hour
Solve by dividing 54 by 2.5
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
= 
Step-by-step explanation:

Answer:
-37.5 m
Step-by-step explanation:
If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:
... (15/24)×(-60 m) = -37.5 m