Using hardy-weinberg principle, if p=0.3, what is q
The Hardy-Weinberg principle states that in a population that is not evolving, the frequency of alleles and genotypes will remain constant from generation to generation.
In the equation p + q = 1, where p is the frequency of one allele and q is the frequency of the other allele, the sum of the frequencies of both alleles is always equal to 1.
Therefore, if p = 0.3, q can be calculated as:
q = 1 - p
q = 1 - 0.3
q = 0.7
So, if p = 0.3, q = 0.7.
To find q using the Hardy-Weinberg principle, we need to remember that p + q = 1, where p represents the frequency of one allele of a gene in a population, and q represents the frequency of the other allele.
Given that p = 0.3, we can substitute this value into the equation:
0.3 + q = 1
To find q, we can subtract 0.3 from both sides of the equation:
q = 1 - 0.3
q = 0.7
Therefore, q is equal to 0.7.
The Hardy-Weinberg principle is a mathematical equation that describes the genetic equilibrium of a population. It states that in an ideal population with no evolutionary forces at play, the frequencies of alleles within the population will remain constant from generation to generation.
The equation for the Hardy-Weinberg principle is:
p^2 + 2pq + q^2 = 1
Where:
- p represents the frequency of one allele in the population
- q represents the frequency of the other allele in the population
- p^2 represents the frequency of the homozygous dominant genotype
- 2pq represents the frequency of the heterozygous genotype
- q^2 represents the frequency of the homozygous recessive genotype
- 1 represents the total frequency of all genotypes, which is always equal to 100% or 1.
In your question, you are given that p = 0.3. To find q, we can use the equation:
p^2 + 2pq + q^2 = 1
Substituting the value of p:
(0.3)^2 + 2(0.3)q + q^2 = 1
Simplifying the equation:
0.09 + 0.6q + q^2 = 1
Rearranging the equation:
q^2 + 0.6q - 0.91 = 0
Now, we can solve this quadratic equation to find the value of q. You can use various methods such as factoring, completing the square, or the quadratic formula.