For Exercises 25–34, use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct . 25. 12 , 345 , 679 × 9 = 111 , 111 , 111 12 , 345 , 679 × 18 = 222 , 222 , 222 12 , 345 , 679 × 27 = 333 , 333 , 333 ⋮ 12 , 345 , 679 × 72 = ?
For Exercises 25–34, use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct . 25. 12 , 345 , 679 × 9 = 111 , 111 , 111 12 , 345 , 679 × 18 = 222 , 222 , 222 12 , 345 , 679 × 27 = 333 , 333 , 333 ⋮ 12 , 345 , 679 × 72 = ?
Solution Summary: The author explains that inductive reasoning is the process of reasoning to a general conclusion through observations of specific cases.
For Exercises 25–34, use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct.
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The graph below shows the U.S. federal expenses for 2012.
A) estimate the fraction of the total expenses that were spent on Medicare. Write your answer as the
closest fraction whose denominator is 100.
B) estimate the fraction of the total expenses that were spent on Medicare and Medicaid. Write your
answer as the closest fraction, whose denominator is 100.
Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree.
a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful.
The risk tolerance must reach $ ____________ before the risk averse company acts the same as the EMV-maximizing company.
b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ ___________ .
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