Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,
We know that, area of a sector is
Where, 
is central angle, r is radius.
Multiply both sides by 360 degrees.
The value of x is 60 degrees.
Therefore, the correct option is A.
The interest paid for the loan will be:
I=(PRT)/100
P=$749.25
R=12%
T=120 days=120/30=4 months=1/3 years
Hence:
I=(749.25×1/3×12)/100
I=$29.97
The proceeds will be:
Net proceeds=(gross proceeds)-(expenses)
=749.25-29.97
=$719.28
Answer:
Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Step-by-step explanation:
The null hypothesis is basically the problem statement i.e
Pulse rates of men have a standard deviation equal to 10 beats per minute
Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
The alternate hypothesis will contradict or negate the null hypothesis i.e
H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
8 is a cube: 2³
27 is a cube: 3³
The expression can be identified as "the sum of two cubes": (2z)³ + 3³.
Answer:
A is the correct answer to the question
