<span>16.6666666667
To solve the problem, do 50 divided by 3. This will give you how many inches the model is.
</span>
Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions 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:
![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.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that ![\mu = 60, \sigma = 8](https://tex.z-dn.net/?f=%5Cmu%20%3D%2060%2C%20%5Csigma%20%3D%208)
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.96 = \frac{X - 60}{8}](https://tex.z-dn.net/?f=1.96%20%3D%20%5Cfrac%7BX%20-%2060%7D%7B8%7D)
![X - 60 = 8*1.96](https://tex.z-dn.net/?f=X%20-%2060%20%3D%208%2A1.96)
![X = 75.7](https://tex.z-dn.net/?f=X%20%3D%2075.7)
Test score of 75.7.
Hi,
I believe this is Italian. Translated, the sentence reads:
<span>How is the area of the square?
Faith xoxo</span>