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



<span><span><span>6<span>x2</span></span>+<span>11x</span></span>−35</span><span>=<span><span>(<span><span>3x</span>−5</span>)</span><span>(<span><span>2x</span>+7</span><span>)</span></span></span></span>
Answer: A basic theorem for finding the third length of a right angle triangle is the Pythagoras Theorem.
In a right angle triangle, the slant and usually longest side is called the Hypotenuse while the other two sides are Opposite and Adjacent.
The Pythagoras Theorem States:

Step-by-step explanation:
If for example, we are given the other two sides as 3 and 4 respectively,
Using


Hypotenuse =
=5
These set of numbers (3,4,5) in this that satisfies the theorem are called Pythagorean Triples
Answer:
x = -9
Step-by-step explanation:
3-2x=21
-3 -3
-2x=18
/-2 /-2
x=-9