Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
Answer:
i think the answer is option c
Answer:
3/24 or 1/8
Step-by-step explanation:
1. convert 1/4 and 2/3 into fractions with common denominators of 24 (since there are 24 pieces.
2. find the multiples of 4 and 3
4, 8, 12, 16, 20, 24 = 5
3, 6, 9, 12, 15, 18, 21, 24 = 8
3. convert the fractions
1/4 * 5/5 = 5/24
2/3*8/8 = 16/24
4. add the fractions.
5/24 + 16/24 = 21/24
5. subtract 21/24 from 24/24 = 3/24
6. reduce by dividing both terms by 3 = 1/8
37/8 or 4 5/8
To make it easier, make both numbers into an improper fraction then subtract normally.