C. 55 degrees.
Solving: Since it’s on the same line, you can do 180 - 125 to solve for.
Answer:
About 30-34 hours i estamate
Step-by-step explanation:
It’s A because the slope for both triangles is -1/2
D. Worm! Viruses, worms, rasonware, Trojans, bonets, and adware are also some examples!
Answer:
The top 20% of the students will score at least 2.1 points above the mean.
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 mean of a certain test is 14 and the standard deviation is 2.5.
This means that ![\mu = 14, \sigma = 2.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2014%2C%20%5Csigma%20%3D%202.5)
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![0.84 = \frac{X - 14}{2.5}](https://tex.z-dn.net/?f=0.84%20%3D%20%5Cfrac%7BX%20-%2014%7D%7B2.5%7D)
![X - 14 = 0.84*2.5](https://tex.z-dn.net/?f=X%20-%2014%20%3D%200.84%2A2.5)
![X = 16.1](https://tex.z-dn.net/?f=X%20%3D%2016.1)
16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.