Using the normal distribution, it is found that:
a) The rating would have to be of at least 9.78.
b) The z-score for a rating of 5 is of -1.53.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
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 above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given by:
![\mu = 7.6, \sigma = 1.7](https://tex.z-dn.net/?f=%5Cmu%20%3D%207.6%2C%20%5Csigma%20%3D%201.7)
For item a, we have to find the 90th percentile, which is <u>X when Z = 1.28</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
1.28 = (X - 7.6)/1.7
X - 7.6 = 1.28 x 1.7
X = 9.78.
The rating would have to be of at least 9.78.
For item b, we have to find <u>Z when X = 5</u>, hence:
![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 = (5 - 7.6)/1.7
Z = -1.53.
The z-score for a rating of 5 is of -1.53.
More can be learned about the normal distribution at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
Inequality and equality is that inequality is an unfair, not equal state while equality is (uncountable) the fact of being equal.
Answer:
-9
Alternative form:
-![3^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D)
----------------------------------------------------
Steps:
1- Cross out the common factor
2- Calculate the sum or difference
3- Calculate the absolute value
4- Calculate the power
5- Calculate the sum or difference
The answer to your question is 8, because you replace z with 2
Answer:
![\frac{337878up*ua}{5252up}=64.33ua\\\frac{113434up*ua}{5252up}=21.59ua](https://tex.z-dn.net/?f=%5Cfrac%7B337878up%2Aua%7D%7B5252up%7D%3D64.33ua%5C%5C%5Cfrac%7B113434up%2Aua%7D%7B5252up%7D%3D21.59ua)
Step-by-step explanation:
If the ratio between the plan and the measure is 5252: 1, this means that each unit of the plan (up) is equivalent to 5252(ua) units of measure actually
, also:
![\frac{337878up*ua}{5252up}=64.33ua\\\frac{113434up*ua}{5252up}=21.59ua](https://tex.z-dn.net/?f=%5Cfrac%7B337878up%2Aua%7D%7B5252up%7D%3D64.33ua%5C%5C%5Cfrac%7B113434up%2Aua%7D%7B5252up%7D%3D21.59ua)