Suppose that John hands you a coin to flip and wants to bet on the outcome. Now, John has tried this sort of thing before, and you suspect that the coin is "rigged." You decide to test this hypothesis by taking a sample. You flip the coin twice, and it is heads both times. You say, "Aha, I knew it was rigged!" John replies, "Don't be silly. Any coin can come up heads twice in a row."
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The following scheme was devised by mathematician John von Neumann to allow fair results even if the coin is somewhat biased. The coin is flipped twice. If it comes up heads both times or tails both times, it is flipped twice again. If it comes up heads-tails, this will decide the outcome in favor of the first party; and if it comes up tails-heads, this will decide the outcome in favor of the second party. Show that this will result in a fair toss even if the coins are biased.
What will be an ideal response?
Answers will vary.
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Solve the problem.An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve - 4 ? x ? 4, about the x-axis (dimensions are in feet). If a cubic foot holds 7.481 gallons and the helicopter gets 3 miles to the gallon, how many additional miles will the helicopter be able to fly once the tank is installed (to the nearest mile)?
A. 150 B. 75 C. 301 D. 100
The following table shows the hourly wage W, in dollars, of a certain worker t years after 2000. t0246 A $16.87 $18.96 $21.30 $23.93? A: Make a table of successive ratios to show that the wage can be modeled by an exponential function. Round your answer to two decimal places.B: Find an exponential model for the data. Be careful. The data are presented in 2-year increments. Round your answer to two decimal places.C: Plot the graph of the data points along with the exponential model. Include up through 2010.D: According to the model, the worker got a pay raise each year. What percentage raise did the worker get each year? Round your answer to two decimal places.
What will be an ideal response?
When "no resources or capabilities exist that can complete the tasks and provide the same value to customers,"a competency is said to be
A. valuable B. nonsubstitutable C. rare D. difficult to imitate
Determine whether the statement is true or false.5[9 + (4 - 4)] ? 42
A. True B. False