Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3
μ = 31.5 and σ =7.3
Here we have to find score that separates the top 59% from the bottom 41%
So basically we have to find here x value such that area above it is 59% and below it is 49%
This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59
P(Z < z) = 0.49
Using excel function to find the z score for probability 0.49 we get
z = NORM.S.INV(0.49)
z = -0.025
It means for z score -0.025 area below it is 41% and above it is 59%
Now we will convert this z score into x value using given mean and standard deviation
x = (z* standard deviation) + mean
x = (-0.025 * 7.3) + 31.5
x = 31.6825 ~ 31.68
The score that separates the top 59% from the bottom 41% is 31.68
Answer:
The answer is 56
Step-by-step explanation:
I'm smart and you are dumb
Answer:
9
x^
2
Step-by-step explanation:
18x4 – 27x3 – 36x2
<u>GCF :</u>
<em>Find the prime factors of each term in order to find the greatest common factor (GCF)</em>
= 9
x^
2
Answer:
300 in³
Step-by-step explanation:
By definition, volume of a pyramid,
= (Base Area x height ) / 3
= (90 x 10) / 3
= 900/3
= 300 in³
Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
Answer: D) 4.266 is correct
Explanation:
We are given the below frequency table:
Score Frequency
1 | 0
2 | 3
3 | 4
4 | 16
5 | 22
Let's denote the score by 
and frequency by 
.
The average formula is:
Therefore, the average score was 4.267
Hence the option D) 4.266
