Suppose that 30% of all small businesses are undercapitalized, 40% of all undercapitalized small business fail, and 20% of all small businesses that are not undercapitalized fail. A small business is chosen at random. Find the probability that the small business succeeds if it is undercapitalized.
A. 0.18
B. 0.60
C. 0.80
D. 0.56
E. none of these
Answer: B
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Describe the transformations that produce the graph of g from the graph of f.f(x) = 
; g(x) = 
- 10
A. Stretch horizontally by a factor of 
. Shift it 10 units down.
B. Shift it 11 units to the left and 10 units up.
C. Shift it 11 units to the left and 10 units down.
D. Stretch vertically by a factor of 10 and shift it 11 units to the right.
The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation.f(x) = 
A. f(x): D = 
, R = 
;
f-1(x): D is all real numbers, R = 
B. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
C. f(x): D = 
, R is all real numbers;
f-1(x): D is all real numbers, R = 
D. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
Write with rational exponents, and then apply the properties of exponents. Assume all radicands represent positive real numbers. Give answer in exponential form.
? 
A. x10/3 B. x13/15 C. x2/3 D. x13/2
Graph the system of inequalities.y ? 4x - 4y > 
x
A. 
B. 
C. 
D. 