An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
2 answers:
Answer: 2.7 radians.
Step-by-step explanation:
The formula we use to find the length of the arc :-
, where
is the measure of the central angle (in radians )and r is the radius .
Given : An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in.
i.e. l= 8 in. and r = 3 in.
From the above formula , we have
[Rounded to the nearest tenth.]
Hence, the measure of the angle = 2.7 radians.
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p : proportion of successes
The hypothesis test result by using the statistical software is :
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Sample proportion = 0.37
Standard error = 0.0157
Z-stat = 1.697
P- value = 0.0448
Therefore, the hypothesis is correct.
And conclusion : Fail to reject . As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.