Answer:
a
$10,151
$11448.12
b

Step-by-step explanation:
From the question we are told that
The sample size is n = 19
The sample mean is
$10,800
The standard deviation is
$1095
The population mean is
$225
Given that the confidence level is 99% the level of significance is mathematically represented as
%
=> 
Now the critical values of
is obtained from the normal distribution table as

The reason we are obtaining values for
is because
is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while
is the area under the normal distribution curve for just one tail and we need the value for one tail in order to calculate the confidence interval
Now the margin of error is obtained as

substituting values


The 99% confidence interval for the population mean yearly premium is mathematically represented as

substituting values


$10,151
$11448.12
The largest sample needed is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{\mu} ]](https://tex.z-dn.net/?f=n%20%3D%20%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%20%20%20%7D%20%2A%20%20%5Csigma%20%7D%7B%5Cmu%7D%20%5D)
substituting values
![n = [ \frac{ 2.58 * 1095}{225} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%20%5B%20%20%20%20%5Cfrac%7B%202.58%20%20%2A%20%201095%7D%7B225%7D%20%5D%5E2)

Answer:
It would be 31 1/4
Step-by-step explanation:
Since the area is already determined, 6 1/4, you just need to multiply it to the height (5) which is 31 1/4
Half an hour means 30 minutes.
We can add 30 minutes to the time in 10 minute increments.
2:40
2:50
3:00
3:10
Therefore, the time in half an hour is 3:10pm.
Best of Luck!
1. Triangle Sum Theorem
2. Exterior Angle Theorem
3. Transversal
4. SAS Similarity Theorem
hope these help!