A 300-page book is 10 inches long, 8 inches wide, and 3 4 inches tall. What is the volume of 100 pages of the book?
2 answers:
Answer:
20 inches cubed
Step-by-step explanation:
The only thing that will change if we want to find the volume of 100 pages of the book will be the height. Previously for the 300 pages, the height was 3/4 inches. Now, however, it will be a third of that because 100 = 300/3. So, the new height will be: (3/4) / 3 = 1/4 inches.
The length of 10 inches and width of 8 inches will still be the same. The volume of a rectangular prism (the shape of the book) is: , where
is the length, w is the width, and h is the height.
h = 1/4
w = 8
= 10
V = 10 * 8 * (1/4) = 80/4 = 20 inches cubed
The volume is thus 20 inches cubed.
Hope this helps!
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Answer:
6.68% of students from this school earn scores that satisfy the admission requirement
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:
The local college includes a minimum score of 1954 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement
This is 1 subtracted by the pvalue of Z when X = 1954. So
has a pvalue of 0.9332
1 - 0.9332 = 0.0668
6.68% of students from this school earn scores that satisfy the admission requirement