If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side
congruent to side KL in the image parallelogram?
Select one:
a. K'(-4, -6); L'(3, -3)
b. K'(6, 4); L'(3, 3)
c. K'(-6, -4); L'(-3, -3)
d. K'(-4, 6); L'(-3, -3)
Select one:
a. K'(-4, -6); L'(3, -3)
b. K'(6, 4); L'(3, 3)
c. K'(-6, -4); L'(-3, -3)
d. K'(-4, 6); L'(-3, -3)
1 answer:
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Answer:
0.6826 = 68.26% probability that you have values in this interval.
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.
X~N(8, 1.5)
This means that
What is the probability that you have values between (6.5, 9.5)?
This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So
X = 9.5
has a p-value of 0.8413.
X = 6.5
has a p-value of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that you have values in this interval.