Answer:
14.63% probability that a student scores between 82 and 90
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 student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90



has a pvalue of 0.9649
X = 82



has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
The answer is I believe b=70
Answer:
Your slope is -1
Step-by-step explanation:
Find the change in x and the change in y and put it in change in y over change in x.
Δx = -1 - -2 = 1
Δy = -1 - 0 = -1
Slope = rise over run = Change in y over change in x = Δy/Δx = -1/1
Therefore the slope is -1/1 which is written as just -1
Answer:
distance is 5 units
Step-by-step explanation:
plug in values