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Home » finally mastery: How to Make a Histogram in Excel with Ease! - SUpost

finally mastery: How to Make a Histogram in Excel with Ease! - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 The sides of a triangle are 13 cm, 14 cm, and 15 cm. Find the length of the shortest altitude.

📌 The shortest altitude corresponds to the longest side (15 cm), so:

📌 A triangle has side lengths 10, 10, and 12. Find the radius of the circumcircle.

📌 ---Question: A linguist is analyzing the frequency of word usage in two distinct dialects. If dialect A uses 27 unique words per 1000 words and dialect B uses 18 unique words per 1000 words, what is the ratio of the number of unique words used in dialect A to dialect B, expressed in simplest form?

📌 Question: A postdoctoral researcher in theoretical physics is modeling a system with 48 quantum states and wants to reduce redundancy by grouping them into blocks of equal size. What is the smallest number of states per block such that the number of blocks is also an integer?

📌 Solution: We are looking for the smallest divisor of 48 greater than 1 (since each block must contain more than one state to reduce redundancy). The divisors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The smallest divisor greater than 1 is 2.

📌 Question: A dynamic systems analyst is tracking the growth of two adaptive networks. Network X doubles its nodes every 5 hours, and Network Y triples its nodes every 10 hours. After how many hours will both networks have grown by a factor that is a common multiple of their respective growth periods?

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