In the attachement, there is what I came up with so far. I think that finding 'a' is non-trivial, if possible at all.
- the area of a circle
- the area of a circular segment
The answer to the question is b
Answer:
x ≈ 7.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos22° =
= 
Multiply both sides by 8
8 × cos22° = x, thus
x ≈ 7.4 ( to the nearest tenth )
Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e. 

We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let
be the sample mean.
Formula : 
Then, the probability that the sample mean is at least $25.00 will be :-

Hence, the likelihood the sample mean is at least $25.00= 0.0170