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how long does it take to die from sepsis - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 \boxed{90}

📌 Question: A historical archive contains 4 ancient scrolls, 6 manuscripts, and 2 letters. If two items are drawn at random, what is the probability that both are manuscripts?

📌 Solution: Total items: $ 4 + 6 + 2 = 12 $. Total ways to choose 2: $ \binom{12}{2} = 66 $. Favorable ways: $ \binom{6}{2} = 15 $. Probability: $ \frac{15}{66} = \frac{5}{22} $.

📌 \boxed{\dfrac{5}{22}}

📌 How many 8-digit positive integers have all digits either 3 or 4, and have exactly three consecutive 3's?

📌 To solve this, we can use a combinatorial approach. We want to form an 8-digit number using the digits 3 and 4, with exactly three consecutive 3's. Let's break it down:

📌 Position the block of three consecutive 3's:

📌 The block "333" can start at positions 1 through 6 in the 8-digit number. This gives us 6 possible positions for the block.

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The sum of three consecutive even numbers is 54. What is the largest o...
Let the numbers be \( x, x+2, x+4 \).
Their sum is \( x + (x+2) + (x+4) = 3x + 6 = 54 \).
Solving for \( x \), we get \( 3x = 48 \) and \( x = 16 \).
The largest number is \( x+4 = 20 \).
A company offers a 15% discount on a product that originally costs $25...
The discount amount is \( 250 \times 0.15 = 37.50 \).
The discounted price is \( 250 - 37.50 = 212.50 \).
The sales tax is \( 212.50 \times 0.07 = 14.875 \).
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