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The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...
In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players.
The digits must be all different. Then, in turn, the players try to guess their opponent's number who gives the number of matches. The digits of the number guessed also must all be different. If the matching digits are in their right positions, they are "bulls", if in different positions, they are "cows". Example: Secret number: 4271
1089 is widely used in magic tricks because it can be "produced" from any two three-digit numbers. This allows it to be used as the basis for a Magician's Choice.For instance, one variation of the book test starts by having the spectator choose any two suitable numbers and then apply some basic maths to produce a single four-digit number.
For instance, if the number π is rounded to 4 decimal places, the result is 3.142 because the following digit is a 5, so 3.142 is closer to π than 3.141. [107] These methods allow computers to efficiently perform approximate calculations on real numbers. [108]
Platform. Minimum to start. Fees. Acorns • $5 • $3 to $12 per month. SoFi Invest • $5 for self-directed investing• $50 for automated investing • $0 for self-directed investing• 0.25% ...
The contestant is shown an incorrect price for a car. Each digit displayed is either one higher or one lower than the correct digit in the price (e.g., an initial 7 is either a 6 or an 8). The contestant adjusts each digit and wins the car if they choose all five digits correctly. If all five digits are wrong, the contestant automatically loses.
As of December 31, we had a cash balance of $802 million, total debt of $4 billion, and net debt of $3.2 billion. Our weighted average cost of debt was 4.2%, and our nearest maturity date remains ...