What is the diameter?
1 answer:
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Answer:
(10.78483, 12.61517)
Step-by-step explanation:
It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.
Number of hotels = 160
Number of response received = 103
The average number of years these general mangers was in their current hotels, = 11.7 years
Confidence Interval, CI = 0.99
Therefore,
a = 0.01, |Z(0.005)| (from standard normal table)
∴ 99% of CI =
#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
(multiply both sides by 
)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
sin(58°) =
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
[tex] \frac{12}{tan(56)} = x
8.1 = x