Solution :
In the question, it is given that :
There are 50 percent yellow winged butterflies and 50 percent black winged butterflies.
The sampled population of the butterflies follows the Hardy-Weinberg equilibrium.
Therefore,
![p+q=1](https://tex.z-dn.net/?f=p%2Bq%3D1)
![p^2+pq+q^2=1](https://tex.z-dn.net/?f=p%5E2%2Bpq%2Bq%5E2%3D1)
![$q^2 = \frac{50}{100}$](https://tex.z-dn.net/?f=%24q%5E2%20%3D%20%5Cfrac%7B50%7D%7B100%7D%24)
![$q^2 = 0.5$](https://tex.z-dn.net/?f=%24q%5E2%20%3D%200.5%24)
![$q=0.707$](https://tex.z-dn.net/?f=%24q%3D0.707%24)
So, ![p=1-0.707](https://tex.z-dn.net/?f=p%3D1-0.707)
![p = 0.293](https://tex.z-dn.net/?f=p%20%3D%200.293)
Therefore, the allele frequency for yellow winged butterflies will be q = 0.707
The value of C =
OR C = ![-\sqrt{13}](https://tex.z-dn.net/?f=-%5Csqrt%7B13%7D)
And, If we 13 divided by 2
= 13/2 = 6.5
Given,
In the question:
If C² = 13,
To find the value of C.
Now, According to the question:
The Square of C = 13
C² = 13
Split into two equations:
C =
OR C = ![-\sqrt{13}](https://tex.z-dn.net/?f=-%5Csqrt%7B13%7D)
Hence, The value of C =
OR C = ![-\sqrt{13}](https://tex.z-dn.net/?f=-%5Csqrt%7B13%7D)
And, If we 13 divided by 2
= 13/2 = 6.5
Learn more about Square at:
brainly.com/question/3120622
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