Answer:
Step-by-step explanation:
Given
Required
The area of the shaded sector
This is calculated as:
This gives
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
2 answers:
The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
Step-by-step explanation:
If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.
In this case,
x1 = 5
x2 = 7
y1 = 80
y2 = 65
By putting the values in formula, we get
or
m = -7.5
Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
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Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where = sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have
n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :
Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)