A) x -y =1
B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
Answer:
85°
Step-by-step explanation:
AED and DEB would add up to 180, the same goes for AEC and CEB
Answer:
Step-by-step explanation:
PART A: 2x^5 + 3x^2-3
It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least
part B:
Closure property is applicable to the subtraction of polynomials.
for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.
if we subtract these two polynomials, the outcome
2x^4-2x^3+2x^2-2x-7 is also a polynomial
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)
Answer:
I don't know the answer
Step-by-step explanation:
sorry for that