Answer:
The percentage of students who scored below 620 is 93.32%.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
![\mu = 500, \sigma = 80](https://tex.z-dn.net/?f=%5Cmu%20%3D%20500%2C%20%5Csigma%20%3D%2080)
Percentage of students who scored below 620:
This is the pvalue of Z when X = 620. 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{620 - 500}{80}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B620%20-%20500%7D%7B80%7D)
![Z = 1.5](https://tex.z-dn.net/?f=Z%20%3D%201.5)
has a pvalue of 0.9332
The percentage of students who scored below 620 is 93.32%.
A rational number is any number that can be turned into a fraction....it can be negative or positive.
Therefore, -12/6 is a rational number
Answer: 25°
Step-by-step explanation:
From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.
The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:
= 55° - 30°
= 25°
Answer:
What's the question?
Step-by-step explanation:
What are you asking? Are you asking for the room temperature? Or the oven temperature?
Room temperature=45° F or 50 ° F.
Oven temperature = 90° F to 95° F.