Answer:
8/25
Explanation:
32/100 simplifies into 8/25
Let
• R = red
• r = white
• S = short stem
• s = long stem
Then two heterozygous (RrSs) parents can each contribute one of the following allele pairs:
RS, Rs, rS, rs
so that the genotypes of their offspring have the following distribution:
The probability of producing offspring with either the SS or Ss genotype is then 12/16 = 3/4.
In other words, there are 4² = 16 possible genotypes among the offspring, and each parent has a 1/2 probability of contributing the S allele. There are 2 cases to consider:
• both parents contribute the S allele with probability (1/2)² = 1/4
• one parent contributes the S allele while the other contributes the s allele, and this can happen in 2 ways with probability 2 × (1/2)² = 1/2
These events are mutually exclusive, so the total probability is 1/4 + 1/2 = 3/4.
(x+y)^2=56
x^2+2xy+y^2=56. we know that xy=12
so 2(xy)=24
x^2+24+y^2=56
x^2+y^2=56-24
x^2+y^2=32. <-------------