<span>The expression of the square root of 19x must be simplified when x is equal to 28. This is because possible factors of 28 can be seen to be 4 and 7, and 4 is a perfect square. This means it can be pulled outside of the square root when evaluated. The other options include only prime factors that could not be pulled out. (3,5), (3,7), (1,41)
28 simplifies as such:
Sqrt(19*28) = Sqrt(19*4*7) = 2*Sqrt(19*7) = 2*Sqrt(133).</span>
The orange one is an example of alternate interior angles.
Answer:
Step-by-step explanation:
Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17
No of trials 3
Hence X can take values as 0 ,1,2,3 and
, r=0,1,2,3
Using the above we obtain prob distribution as
X 0 1 2 3
P(X) 0.0049 0.0720 0.3513 0.5718
P(X>=2) =P(X=2,3,4) =0.9231
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2) Z value for company A =
Z value for company B = 
From z value probablility is more for company A as
P(Z>-2.22) >P(Z>2.89)
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
