Answer:
A. <em>There is an </em><em>84%</em><em> chance that the shop sells more than 390 CDs in a week.</em>
Step-by-step explanation:
The number of music CDs sold weekly by a store follows a normal distribution with a mean of 455 and a standard deviation of 65.
Hint- First we will have to calculate the z score and then using z score table we can calculate the probability or area below that point.
Z score can be calculated by the following formula,
![Z=\dfrac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Where,
X = the raw score,
μ = mean of the sample
σ = standard deviation,
Putting the values,
![Z=\dfrac{390-455}{65}=-1](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B390-455%7D%7B65%7D%3D-1)
From the z score table, we get
![P(z](https://tex.z-dn.net/?f=P%28z%3C-1%29%3D0.1586%3D15.86%5C%25%5Capprox%2016%5C%25)
As from the table we get the probability less than the point which in case is 390 with z score of -1, the probability more with z score more than -1, is
![=100-16=84\%](https://tex.z-dn.net/?f=%3D100-16%3D84%5C%25)
These two triangles are similar and the conversion factor is 2/3. This can be found by dividing one side length corresponding to the other on the other triangle.
In this case, DF ~ AC
DF = 12
AC = 18
12/18 = 2/3
Knowing this, we can multiply 15 by 2/3 to find the length of DE because side lengths AB and DE are similar.
15 • 2/3 = 10
DE = 10
The general form of the equation is y = mx + c where m = slope and c = y-intercept
so if m=3 and c = -5 we have the slope-intercept equation y = 3x - 5
Answer:
Step-by-step explanation: