Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=
Answer:
Step-by-step explanation:
The cotangent of theta is:
For pi/2 < theta< pi
This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.
Secant:
In this question
So
Using cross multiplication
Now we apply the following trigonometric identity:
Since the angle is in the second quadrant, the sine is positive.
Finally, the cotangent: