Answer:
9.18% probability that a randomly selected person sleeps 6 hours or less
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 randomly selected person sleeps 6 hours or less?
This is the pvalue of Z when X = 6. So



has a pvalue of 0.0918
9.18% probability that a randomly selected person sleeps 6 hours or less
Answer:
13
Step-by-step explanation:
|3(5)-2|
|15-2|
|13|
13
Answer:
see the attachment
Step-by-step explanation:
If the "transformed" figure looks exactly like the original, but is in a different place, it has been translated (trn).
If the transformed figure has the appearance you would see if you looked at the original in a mirror, it has been reflected (ref). All of these figures have been reflected left-right, so the transformation is not difficult to see.
If the transformed figure is one you would get if you stuck a pin in the original and turned the page 90° to the left (CCW), then it has been rotated (rot). All of these figures have the same 90° ccw rotation, so the transformation is not difficult to see.
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<em>Comment on the question</em>
Matching figures with translated/rotated/reflected versions of themselves is a common problem type on intelligence tests.
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