Hello,
I think the answer is D) 102.92
Hope this helps!!!! :)
Answer:
Step-by-step explanation:
Given that a teacher gives a test to a large group of students. The results are closely approximated by a normal curve
mu =74 and sigma =8
A grade starts from 100-8 = 92nd percentile
Z score for 92nd percentile = 1.405
X score = 74+8(1.405) = 85.24
--------------------
B cut off is to next 16%
Hence C would start for scores below 100-(8+16) = 76%
76th percentile = 0.705*8+74 =79.64
Given:

To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,


It can be written as

Add 288 on both sides.

and 
and 
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.