Answer:
Step-by-step explanation:
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The equation of line perpendicular to given line through (-6,7) is:
Further explanation:
Given equation of line is:
The co-efficient of x is the slope of given line.
Let m1 be the slope of given line
and
m2 be the slope of line perpendicular to given line
Then
Product of slopes of perpendicular lines is -1
The equation of new line can be written as:
Putting m2
To find the value of b, we will put (-6,7) in equation
Putting the values of b and m in general equation
Keywords: Slope, Point-slope form, perpendicular lines
Learn more about perpendicular lines at:
#LearnwithBrainly
Answer:
The score of a person who did better than 85% of all the test-takers was of 624.44.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
One year, the average score on the Math SAT was 500 and the standard deviation was 120.
This means that
What was the score of a person who did better than 85% of all the test-takers?
The 85th percentile, which is X when Z has a p-value of 0.85, so X when Z = 1.037.
The score of a person who did better than 85% of all the test-takers was of 624.44.