In the diagram below, DE is parallel to XY. What is the value of x?
2 answers:
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Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
Calculate the volume.
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
Answer:
a) Mean = 1030; Standard deviation = 12.38.
b) The county result is unusually high.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.
This first question is a binomial propability distribution.
We have a sample of 1210 Amricans, so .
The mean of the sample is 1030.
The probability of a success is .
The standard deviation of the sample is
(b) Is that county result of 1030 unusually high, or low, or neither?
The first step is find the zscore when .
Then we find the pvalue of this zscore.
If this pvalue is bigger than 0.95, the county result is unusually high.
If this pvalue is smaller than 0.05, the county result is unusually low.
Otherwise, it is neither.
The national mean is 82%. So,
has a pvalue of 0.9989.This means that the county result is unusually high.