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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A pyramid with a square base of side 4 meters and a height of 9 meters is filled with sand. If the sand is evenly spread over a rectangular area of 8 meters by 5 meters, what is the depth of the sand layer?

📌 A light bulbs brightness decreases by 10% each year. If it starts at 1000 lumens, what will be its brightness after 5 years?

📌 #### 590.49Question: If a fair 10-sided die is rolled four times, what is the probability that exactly two of the rolls result in a number greater than 7?

📌 Solution: First, we determine the total number of outcomes. Since each roll of a 10-sided die has 10 possible results, and the die is rolled 4 times, the total number of outcomes is:

📌 Next, we calculate the number of favorable outcomes where exactly two of the four rolls are greater than 7. The numbers greater than 7 on a 10-sided die are 8, 9, and 10 — 3 outcomes. So, the probability of rolling a number greater than 7 is:

📌 The probability of rolling a number 7 or less is:

📌 We use the binomial probability formula:

📌 The number of ways to arrange 6 distinct units is:

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