Answer:
3.212*10^3
Step-by-step explanation:
you moved the decimal place 3 times
Answer:
the answer is 2,and 4 and 5
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Answer:
The number is
students
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is ![\sigma = 34.4](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2034.4)
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
![P(250 < X < 305 ) = P(\frac{ 250 - 281}{34.4 } < \frac{X - \mu }{\sigma } < \frac{ 305 - 281}{34.4 } )](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%20P%28%5Cfrac%7B%20250%20-%20281%7D%7B34.4%20%7D%20%20%3C%20%20%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3C%20%5Cfrac%7B%20305%20-%20281%7D%7B34.4%20%7D%20%20%20%29)
Generally
![\frac{X - \mu }{\sigma } = Z (Standardized \ value \ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%20%28Standardized%20%5C%20value%20%5C%20%20of%20%20%5C%20%20X%20%29)
So
![P(250 < X < 305 ) = P(-0.9012< Z](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%20P%28-0.9012%3C%20%20Z%3C0.698%20%20%29)
![P(250 < X < 305 ) = P(z_2 < 0.698 ) - P(z_1 < -0.9012)](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20P%28z_2%20%3C%200.698%20%29%20-%20%20P%28z_1%20%3C%20%20-0.9012%29)
From the z table the value of ![P( z_2 < 0.698) = 0.75741](https://tex.z-dn.net/?f=P%28%20z_2%20%3C%200.698%29%20%3D%20%200.75741)
and ![P(z_1 < -0.9012) = 0.18374](https://tex.z-dn.net/?f=P%28z_1%20%3C%20-0.9012%29%20%3D%20%200.18374)
![P(250 < X < 305 ) = 0.75741 - 0.18374](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%200.75741%20-%200.18374)
![P(250 < X < 305 ) = 0.57](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%200.57)
The percentage is ![P(250 < X < 305 ) = 57\%](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%2057%5C%25)
The number of students that will get this score is
![N = 2000 * 0.57](https://tex.z-dn.net/?f=N%20%20%3D%202000%20%2A%200.57)
![N =1147](https://tex.z-dn.net/?f=N%20%20%3D1147)