Answer:
38.3% of the people taking the test score between 400 and 500
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 450, \sigma = 100](https://tex.z-dn.net/?f=%5Cmu%20%3D%20450%2C%20%5Csigma%20%3D%20100)
What percentage of the people taking the test score between 400 and 500
We have to find the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 400. So
X = 500
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{500 - 450}{100}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B500%20-%20450%7D%7B100%7D)
![Z = 0.5](https://tex.z-dn.net/?f=Z%20%3D%200.5)
has a pvalue of 0.6915
X = 400
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{400 - 450}{100}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B400%20-%20450%7D%7B100%7D)
![Z = -0.5](https://tex.z-dn.net/?f=Z%20%3D%20-0.5)
has a pvalue of 0.3085
0.6915 - 0.3085 = 0.383
38.3% of the people taking the test score between 400 and 500
Answer:
1 lap in 8/10 (4/5) of a minute
Answer is B, 8/10 minute! or b=4x+5y=16
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Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
The perimeter is the sum of the side lengths:
perimeter = XZ +WZ +WX
The figure shows us WX = WZ, so we can rewrite the formula as ...
perimeter = XZ +2·WZ
Filling in the given values, this becomes ...
50 = 15 + 2·WZ
35 = 2·WZ
35/2 = WZ = 17.5
The length of WZ is 17.5 units.
Answer:
That is correct
Step-by-step explanation:
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