Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
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.
Average of 48 texts per day with a standard deviation of 12.
This means that ![\mu = 48, \sigma = 12](https://tex.z-dn.net/?f=%5Cmu%20%3D%2048%2C%20%5Csigma%20%3D%2012)
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. 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{78 - 48}{12}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B78%20-%2048%7D%7B12%7D)
![Z = 2.5](https://tex.z-dn.net/?f=Z%20%3D%202.5)
has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.
Keurig takes about 58 days 15 hours and 30 mins. So we have to turn this into hours
So 58 days = 1392
Now we add + 15
-------
1407
Answer:
the answe would be the last one
Step-by-step explanation:
Every Rhombus is a parallelogram but every parallelogram is not a rhombus. The area is base multiply by height in both the figures but rhombus has one more formula for finding area i.e 1
×d1×d2
<u>Explanation:</u>
Rhombus is a quadrilateral which means it is a four-sided figure. It is a parallelogram which means its opposite sides a parallel. All the sides of a rhombus are equal but all the four sides of a parallelogram are not equal. So we can say that every rhombus is a parallelogram but every parallelogram is not a rhombus.
The area of a parallelogram is B×H i.e base is multiplied by the height. Rhombus being a parallelogram also has the same method of determining area i.e B×H but with that, it has one more formula for finding its area using diagonals
×d1×d2. Here d1 and d2 stands for diagonal1 and diagonal2