A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
2 answers:
Answer:
Area of cross section is 104
Step-by-step explanation:
Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.
The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.
Length of rectangle = Length of diagonal of base & top = 13 inches
Width of Rectangle = Height of Prism = 8 inches
Area of Cross Sectional Rectangle = Length × Width
= 13 × 8
= 104
Therefore, Area of cross section is 104
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Answer:
5.48% of the people in line waited for more than 28 minutes
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.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes