Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is 
The range for the middle 3 standard deviation is 
Step-by-step explanation:
From the question we are told that
The mean is 
The median is 
The mode is 
The standard deviation is 
Generally the 16th percentile is mathematically represented as
![P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/teGenerally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )](https://tex.z-dn.net/?f=P%28x%29%3D%20P%28%5Cfrac%7BX%20%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%20%5Cle%20%5Cfrac%7Bx-%2025%20%7D%7B5%7D%20%29%20%3D%200.16%5B%2Fte%3C%2Fp%3E%3Cp%3EGenerally%20%20%5Btex%5D%5Cfrac%7BX%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%28The%20%20%5C%20%20standardized%20%5C%20%20value%20%5C%20of%20%20%5C%20X%20%20%29)
So

Now from the normal distribution table the z-score of 0.16 is
z = -1

=> 
=> 
=> 
=> 
The range for the middle 3 standard deviation is mathematically represented



Step-by-step explanation:
6x^2y^3/2x-2
=6x^2y^3/2 (x-1)
=3x^2y^3/(x-1)
Answer:
sin(x)=1/
Step-by-step explanation:
The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity
sin²x = 1 /( 1+cot²x )
now cot(x)= -3
⇒ cot²x= (-3)²
⇒ cot²x= 9
sin²x= 1/( 1+9)
⇒ sin²x = 1/10
taking under root on both the sides we get
√sin²x=
/
⇒ sin(x)=± 1/
Answer:
1.12/30 which is equals to 2/5
2.9 more students
3.171*1.50 =$25.65
Step-by-step explanation: