Is synthetic division the same as polynomial division?
1 answer:
The synthetic division is not same as the polynomial long division.
Given:
Let's take a polynomial function f(x) = divided by x-2.
Using synthetic divison:
2 1 2 -5 -6
0 2 8 6
1 4 3 0
(x-2)(x^2+4x+3)
= (x-2)(x+3)(x+1)
Polynomial long division:
x-2) (x^2+4x+3
x^3- 2x^2
4x^2 - 5x + 6
4x^2 - 8x
3x + 6
3x - 6
0
=(x-2)(x^2+4x+3)
Learn more about the division here:
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Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e
We know that,
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
Now, calculating the value from the z score table,
As the probability at is the area below that, so 84% of the wage earners earn less than $14,000 each.
