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dB

_{o}= 55

I

_{hearing}= 1E-12 W/m

^{2}

B

_{o}= 10log(I/I

_{hearing})

55 = 10log(I/I

_{hearing})

55 = 10log(I/1.0E-12)

I = 3.16227766E-7 W/m

^{2}

If there are 30 other individuals, this makes a total of 31 individuals.

I

_{total}= 31 x I = 31 x 3.16227766E-7

I

_{total}= 9.80E-6 W/m

^{2}

B

_{total}= 10log(I

_{total}/I

_{hearing}) = 10log(9.80E-6/1E-12)

B

_{total}= 69.91 dB ???

The answer says that it is 63.8 dB. Please can somebody help me find where in my logic I have failed? Thank you so very much everyone!