Answer:
Arc BC = 117°
Step-by-step explanation:
Angle D is an inscribed angle that intercepts arc ABC. According to the Inscribed angle theorem of a circle, m<D = ½ of arc ABC.
Thus,
104° = ½(AB + BC)
104° = ½(91° + BC)
Multiply both sides by 2
104*2 = 91 + BC
208 = 91 + BC
Subtract both sides by 91
208 - 91 = BC
117 = BC
Arc BC = 117°
360° = 2π
2 = 360° / π
1 rad = 360° / 2π
Answer:

Step-by-step explanation:
If we assume that the number of arrivals is normally distributed and we don't know the population standard deviation, we can calculated a 95% confidence interval to estimate the mean value as:

where x' is the population mean value, x is the sample mean value, s is the sample standard deviation, n is the size of the sample,
is equal to 0.05 (it is calculated as: 1 - 0.95) and
is the t value with n-1 degrees of freedom that let a probability of
on the right tail.
So, replacing the mean of the sample by 49, the standard deviation of the sample by 17.38, n by 10 and
by 2.2621 we get:

Finally, the interval values that she get is:
