The probability of drawing a club from a deck of cards is 
; what are the odds in favor of drawing a club?
?
A. 1 to 4
B. 3 to 1
C. 1 to 5
D. 2 to 3
E. 1 to 3
Answer: E
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Provide an appropriate response.Given that we know the Fundamental Theorem of Calculus, why would we want to develop numerical methods for definite integrals?i) Antiderivatives are not always expressible in closed form.ii)Numerical methods are a good excuse to use our graphics calculator.iii) The function f(x) may not be continuous on [a,b].
A. Both i and iii are correct. B. Only ii is correct. C. Only iii is correct. D. Only i is correct.
Determine whether or not the given equation is linear.8t2 + 8v = 77
A. Yes B. No
The graph of a quadratic function is given. Choose the function's equation.
A. f(x) = -x2 - 2 B. f(x) = -x2 + 4x + 4 C. f(x) = -x2 + 2 D. f(x) = -x2 - 4x - 4
Determine any local or absolute extrema as indicated.g(x) = -3(x + 3)2 + 1
A. Local maximum: 1; absolute maximum: 1 B. No local extrema; absolute maximum: 1 C. Local minimum: 1; absolute minimum: 1 D. Local maximum: -3; absolute maximum: -3