Answer:
Upper P95 = 16.21in
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

Upper P 95
This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
Then




Upper P95 = 16.21in
Answer:
4 crayons
Step-by-step explanation:
The box has 8 crayons, 8 times 1/2 is 4. The other way is dividing. 8/2 is also 4.
She will use 4 crayons.
The triangle inequality tells you the third side will be between the difference and sum of the other two sides.
5 < third side < 21