A right triangle has a 90degree angle
Answer:
7.57
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.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.
This means that ![\mu = 50, \sigma = 8](https://tex.z-dn.net/?f=%5Cmu%20%3D%2050%2C%20%5Csigma%20%3D%208)
Percent of all sunflowers that are between 35 and 40 inches tall.
As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So
X = 40
![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{40 - 50}{8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B40%20-%2050%7D%7B8%7D)
![Z = -1.25](https://tex.z-dn.net/?f=Z%20%3D%20-1.25)
has a pvalue of 0.1057
X = 35
![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{35 - 50}{8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B35%20-%2050%7D%7B8%7D)
![Z = -1.88](https://tex.z-dn.net/?f=Z%20%3D%20-1.88)
has a pvalue of 0.03
0.1057 - 0.03 = 0.0757
As percent: 0.0757*100% = 7.57%
Answer:
0.315 per lb
Step-by-step explanation:
Answer:
it would be C
Step-by-step explanation:
5(10%)+25%
We are given: One time bonus for hiring = $500.
The variable payment for earning commission = $250 per week.
Please see, in the given problem, when Katie was hired, they paied $500 as a hiring bonus.
So, at the time of hiring, there is not common added.
So, the initial value (amount) for the Katie is $500.
Every month the $250 is added as a commission amount.
Therefore, commoission amount is the rate of change for Katie's salary.
Rate of change : $250 and Initial value: $500.