Answer: First option is correct.
Step-by-step explanation:
Since we have given that
PA = 22
PB = 22+40=62
PC = 26
PD = 26+d
As we know the rule of tangents :
PA.PB=PC.PD

Hence, First option is correct.
Answer:
The confidence interval for the true mean calorie content is

Step-by-step explanation:
In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:

We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.
Then we can calculate the limits of the CI:

By using Pythagoreans Theorem: a^2 + b^2 = c^2