Answer:


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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when
. So




Also, when X = 14, Z has a pvalue of 0.925, so when 




Replacing in the first equation





Standard deviation:




Y>0 because raising a number to a negative power doesn't make it negative
Answer:
10.7 cm^2
Step-by-step explanation:
First find the area of the base
A = 1/2 *2*1.7
A =1.7
Then find the area of one of the sides
A = 1/2 (2*3)
A = 3
There are 3 sides and they are identical
Multiply one of the sides by 3
3*3=9
Add the sides and the base together
9+1.7
10.7 cm^2
Answer:
20 30
Step-by-step explanation:
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Answer:
100kg
Step-by-step explanation:
On the graph 100kg is where the line starts so that his weight when he started. Hope this made sense!