Its kind of like how it is on a car to tell how fast your going i hoped this helped!
Answer:
The minimum score required for an A grade is 88.
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 problem, we have that:
![\mu = 77.8, \sigma = 8.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2077.8%2C%20%5Csigma%20%3D%208.5)
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.175 = \frac{X - 77.8}{8.5}](https://tex.z-dn.net/?f=1.175%20%3D%20%5Cfrac%7BX%20-%2077.8%7D%7B8.5%7D)
![X - 77.8 = 1.175*8.5](https://tex.z-dn.net/?f=X%20-%2077.8%20%3D%201.175%2A8.5)
![X = 87.8](https://tex.z-dn.net/?f=X%20%3D%2087.8)
Rounding to the nearest whole number
The minimum score required for an A grade is 88.
The perpendicular equation is y = -3/2x - 4.
You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 2/3 we flip it and make it a negative and the new slope is -3/2. Now we can use that and the point to get the y intercept using slope intercept form.
y = mx + b
5 = (-3/2)(-6) + b
5 = 9 + b
-4 = b
And now we can use our new slope and new intercept to model the equation.
y = -3/2x - 4
Answer:
$65
Step-by-step explanation:
It has a fee of $15. If each copy is $.25 each and 200 copies are wanted, multiply them together to get 50. Add 50 and 15 to get 65. It cost $65 for 200 copies.