Update README.md
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README.md
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@@ -75,7 +75,7 @@ chat = [
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{"role": "system", "content": ""},
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{"role": "user", "content": "Suppose that a certain software product has a mean time between failures of 10,000 hours and has a mean time to repair of 20 hours. If the product is used by 100 customers, what is its availability?\nAnswer Choices: (A) 80% (B) 90% (C) 98% (D) 99.80%\nPlease reason step by step, and put your final answer within \\boxed{}."},
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{"role": "user", "content": "To find the availability of the software product, we'll use the formula:\n\n\\[ \\text{ availability} = \\frac{\\text{Mean Time Between Failures (MTBF)}}{\\text{Mean Time Between Failures (MTBF) + Mean Time To Repair (MTTR)}} \\]\n\nGiven:\n- MTBF = 10,000 hours\n- MTTR = 20 hours\n\nLet's plug these values into the formula:\n\n\\[ \\text{availability} = \\frac{10,000}{10,000 + 20} = \\frac{10,000}{10,020} \\]\n\nTo simplify this fraction, we can divide both the numerator and the denominator by 10,000:\n\n\\[ \\text{availability} = \\frac{10,000 \\div 10,000}{10,020 \\div 10,000} = \\frac{1}{1.002} \\]\n\nTo express this as a percentage, we can calculate the decimal value of the fraction and then multiply by 100:\n\n\\[ \\text{availability} \\approx 0.998002 \\times 100 = 99.80\\% \\]\n\nTherefore, the availability of the software product is approximately 99.80%.\n\nThe correct answer is \\boxed{D}"}
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conversation_str = tokenizer.apply_chat_template(
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chat,
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{"role": "system", "content": ""},
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{"role": "user", "content": "Suppose that a certain software product has a mean time between failures of 10,000 hours and has a mean time to repair of 20 hours. If the product is used by 100 customers, what is its availability?\nAnswer Choices: (A) 80% (B) 90% (C) 98% (D) 99.80%\nPlease reason step by step, and put your final answer within \\boxed{}."},
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{"role": "user", "content": "To find the availability of the software product, we'll use the formula:\n\n\\[ \\text{ availability} = \\frac{\\text{Mean Time Between Failures (MTBF)}}{\\text{Mean Time Between Failures (MTBF) + Mean Time To Repair (MTTR)}} \\]\n\nGiven:\n- MTBF = 10,000 hours\n- MTTR = 20 hours\n\nLet's plug these values into the formula:\n\n\\[ \\text{availability} = \\frac{10,000}{10,000 + 20} = \\frac{10,000}{10,020} \\]\n\nTo simplify this fraction, we can divide both the numerator and the denominator by 10,000:\n\n\\[ \\text{availability} = \\frac{10,000 \\div 10,000}{10,020 \\div 10,000} = \\frac{1}{1.002} \\]\n\nTo express this as a percentage, we can calculate the decimal value of the fraction and then multiply by 100:\n\n\\[ \\text{availability} \\approx 0.998002 \\times 100 = 99.80\\% \\]\n\nTherefore, the availability of the software product is approximately 99.80%.\n\nThe correct answer is \\boxed{D}"}
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] # 1.7578
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conversation_str = tokenizer.apply_chat_template(
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chat,
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