An oil-drilling company knows that it costs $65,000 to sink a test well. If oil is hit, the income for the drilling company will be $550,000. If only natural gas is hit, the income will be $428,373. If nothing is hit, there will be no income. If the probability of hitting oil is 1/65 and if the probability of hitting gas is 1/35, what is the expectation for the drilling company? Should the company sink the test well?
?
A. - $55,216; should dig
B. $44,299; should dig
C. - $44,299; should dig
D. - $44,299; should not dig
E. - $42,695; should not dig
Answer: D
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Find the limit.
A. Does not exist B. -4 C. 4 D. 0
Factor completely.3x2 + 19x - 40
A. (x + 8)(3x - 5) B. (x - 8)(3x - 5) C. (3x + 8)(x - 5) D. (3x - 45)(3x - 5)
Use algebraic and/or graphical methods to solve the inequality.3 + 
- 
? 0
A. 
? x ? 8
B. -8 ? x < 0 or 0 < x ? 
C. x ?-8 or x ? 
D. -8 ? x ? 
Solve the system of equations. Determine whether the system is consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent.3x - 4y = 15-6x + 8y = -40
A. No solutions; inconsistent
B. {(x, y) 
}; consistent; dependent
C. (5, 0); consistent; independent
D. (0, -5); consistent; independent