Answer:
2 7/8
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/3 times 1/4 is 2/12. 2/12 simplified is 1/6, so 1/6 is your answer.
Answer: LHS = RHS
Step-by-step explanation:
Heya!!
Here, we need to compare the LHS and RHS
So, here is the solution -
(9p-5q)²+ 180 pq = (9p+5q)
LHS
= (9p-5q)²+ 180 pq
= 81 p² + 25 q² + 90 pq + 180 pq
= (9p - 5q) ²
RHS = (9p - 5q) ²
Hence, proved => LHS = RHS
Hope it helps!
Answer:
22.5 cm
Step-by-step explanation:
9 inches=9×2.5 cm =22.5 cm
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)