How Does Removing Pigs Affect the Decibel Level in a Pig Pen?

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The noise level in a pig pen with 213 pigs is measured at 78.1 dB. When 77 pigs are removed, the remaining pigs are assumed to maintain their original squeal intensity, prompting a calculation of the new decibel level. Additionally, the discussion compares the intensity of an orchestra at 87 dB to a single violin at 62 dB, highlighting the significant difference in sound intensity. The forum explores how to derive the intensity of sound produced by one pig using the decibel definition. Ultimately, understanding these sound levels can provide insights into the impact of pig removal on overall noise in the pen.
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1- The noise level coming from a pig pen with 213 pigs is 78.1 dB. Assuming each of the remaining pigs squeal at their original level after 77 of their companions have been removed, what is the decibel level of the remaining pigs? Units dB

2- The intensity level of an orchestra is 87 dB. A single violin achieves a level of 62 dB. How does the intensity of the sound of the full orchestra compare with that of the violin’s sound? Find the ratio
 
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You know the noise level and the total intensity. How can you, using the information you have, solve what intensity one of the 213 pigs has?

Hint: Use the definition of decibel.
 
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