In College Park mice, short tails (ss) is recessive to long tails (SS). In the HJP building exterminators found the allele frequency of mice with short tales in the population within the building to be 0.7. In the BioPsyc building exterminators find that the allele frequency of the gene for short tale in mice in the building to me 0.2. Due to construction in the BioPsyc building several of the mice made HJP their new home. The exterminator guessed that about 20% of the mice in HJP now consist of mice from BioPsyc. What will be the new frequency of the short tales among mice in HJP?
a. 0.43.
b. 0.65.
c. 0.57.
d. 0.60.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let, initial number of mice in HJP be 'x'

and the number of mice travelling from BioPyc building to HJP be 'ý

So, Total mice in HJP= x+ y

As, [tex]\frac{y}{x+y} = 0.2[/tex]

y= 0.2x + 0.2 y

0.8y =0.2 x

x= 4y

Now, total short tail mice in HJP= 0.7 x + 0.2 y

Thus, New frequency of short tail among mice in HJP

= [tex]\frac{0.7x + 0.2y}{x+y}[/tex]

Put x= 4y in above equation we get,

= [tex]\frac{0.7 * 4y+ 0.2y}{4y+y}[/tex]

= [tex]\frac{3y}{5y}[/tex]

= 0.60

Hence, the new frequency of short tail mice in HJP is 0.60.

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