if the frequency of the homozygous dominant genotype is 0.49 what is the frequency of the homozygous recssive allele
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Let's re-write Hardy Weinberg using A and a.
#A^2 + 2Aa + a^2# = 1
You also need to know that the frequencies of the two alleles will add to 1.
A + a = 1
If AA = 0.49
A = 0.7 (take the square root of 0.49)
Using this means a = 0.3 (1 - 0.7 = 0.3) Remember A + a = 1
So the frequency of aa = #0.3^2# = 0.09
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