1a. If
2 answers:
The function f(g(x)) eventually simplifies to
f(g(x) = (4/3)(x-5)(x-2)/(x² - 6x - 7)
a) The sum of the x-coordinates of the vertical asymptotes is the opposite of the x-coefficient in the denominator: 6.
b) Since the numerator and denominator are of the same degree, the horizontal asymptote is the overall multiplier: y = 4/3.
_____
Consider a quadratic with roots at "a" and "b". Then the factored form is
(x-a)(x-b)
and the expanded form is
(x² - (a+b)x + ab)
That is, the sum of the roots is the opposite of the x-coefficient. For this problem, that sum is the sum that is requested in part A.
f(g(x) = (4/3)(x-5)(x-2)/(x² - 6x - 7)
a) The sum of the x-coordinates of the vertical asymptotes is the opposite of the x-coefficient in the denominator: 6.
b) Since the numerator and denominator are of the same degree, the horizontal asymptote is the overall multiplier: y = 4/3.
_____
Consider a quadratic with roots at "a" and "b". Then the factored form is
(x-a)(x-b)
and the expanded form is
(x² - (a+b)x + ab)
That is, the sum of the roots is the opposite of the x-coefficient. For this problem, that sum is the sum that is requested in part A.
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Answer:
Mean of the binomial distribution
μ = 174.972 bolts
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective
The proportion of the defective item
<u><em>Step(ii):-</em></u>
Let 'x' be a random variable in a binomial distribution
Mean of the binomial distribution
μ = np
μ = 840 ×0.280
μ = 174.972
<u><em>Final answer</em></u>:-
Mean of the binomial distribution μ = 174.972 bolts