4th is 13 7th is 19 , that equals 6 difference, divide by two, 3 between each point. So now 3rd is 10, 2nd is 7, 1st is 4.
Now add the first 10, 4+7+10+13+16+19+22+25+28+31=175
Answer:
The score is ![x = 1884](https://tex.z-dn.net/?f=x%20%20%3D%20%201884)
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 1500](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%201500)
The standard deviation is ![\sigma = 300](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20300)
From the question we are told that the score follow a normal distribution
i.e ![X \~ \ N( 1500 , 300)](https://tex.z-dn.net/?f=X%20%20%5C~%20%20%5C%20%20%20N%28%201500%20%2C%20300%29)
The proportion of score in the top 10% is mathematically
![P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10](https://tex.z-dn.net/?f=P%28X%20%3E%20x%20%29%20%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3E%20%5Cfrac%7Bx%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%20%29%20%3D%200.10)
Where x is the minimum score required to be in the top 10%
Now the ![\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%20%3D%20%20Z%20%28The%20%20%5C%20Standardized%20%5C%20value%20%5C%20%20of%20%20%5C%20%20X%29)
So
![P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10](https://tex.z-dn.net/?f=P%28X%20%3E%20x%20%29%20%20%3D%20%20P%28%20Z%20%3E%20%5Cfrac%7Bx%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%20%29%20%3D%200.10)
So
![P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10](https://tex.z-dn.net/?f=P%28X%20%3E%20x%20%29%20%20%3D%20%20P%28%20Z%20%3E%20%5Cfrac%7Bx%20-%20%201500%7D%7B300%7D%20%20%20%29%20%3D%200.10)
So the critical value of 0.10 from the normal distribution table is ![Z_{0.10} = 1.28](https://tex.z-dn.net/?f=Z_%7B0.10%7D%20%3D%20%201.28)
So
![\frac{x - 1500}{300} = 1.28](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%20%201500%7D%7B300%7D%20%20%20%3D%201.28)
![x = 1884](https://tex.z-dn.net/?f=x%20%20%3D%20%201884)
5:2:3....added = 10
5/10(25) = 125/10 = 12.5 liters of pear juice
2/10(25) = 50/10 = 5 liters pineapple juice
3/10(25) = 75/10 = 7.5 liters plum juice
Can you plzz helo me with my answers
Answer:
14
Step-by-step explanation:
(3.5 ÷ 100) × 400 = 14