Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation =
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:

For z = -1.56, we get:

For z = -0.88, we get:

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
The answer to this is .5 or 1/2.
Answer:1/4 hour remaining
Step-by-step explanation:
Presenter 1 - 1/3 hour
Presenter 2 - 1/6 hour
Presenter 3 - 1/4 hour
Convert to least common denominator of 12
4/12 + 2/12 + 3/12 = 9/12
12/12 - 9/12 = 3/12
Reduce 3/12 to get 1/4 hour remaining
A) 859.32/8= 107.415=108 tickets
B) 980.68/8= 122.585=123 tickets