Answer:
Step-by-step explanation:
The length of any arc is calculated using the following equation:
s = r*θ
Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.
So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:
Where r is the radius of the circle O.
Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>
Second step. <u>Calculate the standard deviation</u>
As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval
where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
