Answer:
The answer is 0.8788
Step-by-step explanation:
<em>From question given, let us recall the following:</em>
<em>We know that Ƶα /2 * √p (1-p)/n</em>
<em>when we use n≤ 5000/10 =500</em>
<em> P = 0.75</em>
<em>The Margin of error = 0.03</em>
<em>Putting this values together we arrive at </em>
<em> Ƶα/2 = 0.03/√0.75 * 0.25/500 </em>
<em>= 1.549</em>
<em>Now,</em>
<em>Ф (1.549) = 0.9394</em>
<em>Therefore the confidence level becomes:</em>
<em> 1- (1-∝)/2 = 0.9394</em>
<em>∝ = 0.8788</em>
<em>The answer is 0.8788</em>
<em />
<span>I = 1832 </span>
<span>P = 16000 </span>
<span>T = 206/365 years </span>
<span>Rate of interest = [100*I] / [P*T] </span>
<span>= [100*1832] / [16000*206/365] </span>
<span>= 20.29% per annum</span>
The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:

So one factor is (x-1) and now simplifying
we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
Learn more about Polynomial here:
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The y variable stands for the y value in an equation like x+y=1