Answer:
Slope of function B
Step-by-step explanation:
70 is the area of the polygon
Z-4.5 = -1.5
Add 4.5 to each side:
z = -1.5 + 4.5z = 3
Cedric is correct because he used the inverse of subtraction and added 4.5.
Answer:
The z-score for the trainee is of 2.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean of the test scores is 72 with a standard deviation of 5.
This means that ![\mu = 72, \sigma = 5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2072%2C%20%5Csigma%20%3D%205)
Find the z-score for a trainee, given a score of 82.
This is Z when X = 82. So
![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{82 - 72}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B82%20-%2072%7D%7B5%7D)
![Z = 2](https://tex.z-dn.net/?f=Z%20%3D%202)
The z-score for the trainee is of 2.
Answer:
5x^2 - 4x - 1 + 4x^2 + 4
9x^2 - 4x + 3
Step-by-step explanation: