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
5x−y=4
Solve for y
.
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y=−4+5x
Rewrite in slope-intercept form.
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y=5x−4
Use the slope-intercept form to find the slope and y-intercept.
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Slope: 5
y-intercept: (0,−4)
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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xy0−4450
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: (0,−4)
xy0−4450
1/4 is
the answer
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The second one I believe because it’s basiclalu going up one half everytime to get to one