Answer:
0.1069 = 10.69%
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 question:
Between 57 and 69
This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So
X = 69
has a pvalue of 0.9918
X = 57
has a pvalue of 0.8849
0.9918 - 0.8849 = 0.1069 = 10.69%
Answer:
Positive
Step-by-step explanation:
5a < 2a
Divide 2 on both sides
5/2a < a
7.75+1.25x= 32.75
32.75-7.75=25
1.25x= 25
25 divided by 1.25
X= 20
The sequence is + 1/4 on each number. So, 1/4, 1/2, 3/4, 1 1/4, etc.