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)
Answer:
40.5°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this triangle, that means ...
tan(x°) = 4.7/5.5
The angle is found using the inverse function:
x° = arctan(4.7/5.5) ≈ 40.5°
Answer:
adding and subtracting decimals is similar to adding and subtracting decimals because for both you add and sub both #s
Step-by-step explanation:
3/1 is the answer follow the line