Sample size=n=250
sample proportion=p=0.4
95% confidence interval so significance level α=1-0.95=0.05
So, α/2=0.025
z_( α/2)=1.960 (value taken from statistic z-table)
use formula;
p(+/-)z_(α/2)square root(p(1-p)/n)
(0.4-1.960 sq.root(0.4(1-0.4)/250), 0.4+1.960 sq.root(0.4(1-0.4)/250))
(-0.2073,0.4607) (estimation of population proportion)
<h3>
Answer: g(x) = (-2/3)x^2</h3>
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Explanation:
The blue parent function has a positive coefficient of 1. The purple g(x) function is a reflection of f(x) over the x axis, so everything is now negative. The coefficient must be negative as well.
But the answer is simply not g(x) = -x^2 because plugging x = 3 does not lead to y = -6 as the point (3,-6) shows.
Let's say the coefficient is k for now. So we have y = kx^2
Plug in x = 3 and y = -6. Solve for k
y = kx^2
-6 = k(3)^2
-6 = k*9
9k = -6
k = -6/9
k = -2/3
So we update y = kx^2 into y = (-2/3)x^2
Meaning that g(x) = (-2/3)x^2 is the equation of the purple curve.
Plug x = 3 into g(x) to find that
g(x) = (-2/3)x^2
g(3) = (-2/3)(3)^2
g(3) = (-2/3)(9)
g(3) = -6
which is the output we want, so this confirms we have the correct coefficient.
A = 2/3......remainder 1/3
B = 1/4(1/3) = 1/12
2/3 + 1/12 = 8/12 + 1/12 = 9/12 reduces to 3/4 remainder 1/4
C = 1/3(1/4) = 1/12
3/4 + 1/12 = 9/12 + 1/12 = 10/12 reduces to 5/6 remainder 1/6
so Gana gets 1/6
check...
adam gets 2/3 or 8/12
ben gets 1/12
cathy gets 1/12
Gana gets 1/6 or 2/12
added = 12/12 or 1....correct
Dana gets 1/6 <==
Answer:
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Step-by-step explanation:
5x^2+3x-4=0
<span>x^2+3x/5-4/5=0 </span>
<span>x^2+3x/5=4/5 </span>
<span>x^2+3x/5+9/100=89/100 </span>
<span>(x+3/10)^2=89/100 </span>
<span>x+3/10=±(√89)/10 </span>
<span>x=-3/10±√89/100 </span>
<span>x=-3±(√89/10)</span>