Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So



has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
Answer:
C. 2
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)
= (1-(-5)) / (4-1)
= (1+5) / 3
= 6/3
= 2
Answer:
10π cm
Step-by-step explanation:
Given
Area of the circle=25π cm^2
Solution
πr^2=25π
r^2=25
r=√25
r=5
So circumference of the circle=2πr
=2π×5
=10π cm
So the answer is 10π cm
The answer is D because it can only have one symmetrical line straight down the middle.