Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road octane number for formulation 1 is ı2 = 1.5, and for formulation, 2it is ı2 = 1.2. Two random samples of size n1 = 15 and n2 = 20 are tested, and the mean roadoctane numbers observed are x1 = 89.6 and x2 = 92 5. Assume normality. Find the 95%confidence interval for the difference in the mean octane number.

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the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct