Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.
The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.
We want a z* such that:
But, to use a value that is in a z-score table, we do the following:
So, we want a z-score that give a percentage of 80% for the value below it.
Using the z-score table or a z-score calculator, we can see that:
![\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28zNow%20that%20we%20have%20the%20z-score%20cutoff%2C%20we%20can%20convert%20it%20to%20the%20score%20cutoff%20by%20using%3A%5Btex%5Dz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5CLongrightarrow%20x%3Dz%5Csigma%2B%5Cmu)
Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:
so, the cutoff score is approximately 72.
Answer:
300 units^3 or 96π
Step-by-step explanation:
Volume of the cone would be:
Because the formula of finding the volume of cone is
V = πr^2 * h/3
r is the radius of the base
h is the height of the cone
π is Pi, approximately 3.142 and it is the circumference of any circle divided by its diameter
V is volume
So in this case:
V = πr^2 * h/3
V = π * 6^2 * 8/3
V = π * 36 * 8/3
V = 96π or 301.44 and round it up to 300 units^3
Hope this help :3
Answer:
y = -2 x = 0
Step-by-step explanation:
1. 3x-4y = 8
2. 18-5y = 10
Multiply equation 1 by 6
3. 18x-24y = 48
Subtract equation 2 from equation 3
4. -19y = 38
y = 38/-19
y = -2
Sub y = -2 back into equation 1
3x-4(-2) = 8
3x + 8 = 8
3x = 0
x = 0/3
x = 0
Answer:
There would be a 20% price decrease, making the price $300 less.
