Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant, and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant with genes yy will have green peas. If a plant with two yellow genes YY is crossed with a plant with two green genes yy , the result is four hybrid offspring with genotypes Yy . The offspring will be yellow, but will carry the recessive green gene. Suppose that both parent pea plants are hybrids with genotype Yy . a. Make a chart showing the possible genotypes of the offspring. b. What is the probability that a given offspring will have green peas? c. What is the probability that a given offspring will have yellow peas?
Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant, and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant with genes yy will have green peas. If a plant with two yellow genes YY is crossed with a plant with two green genes yy , the result is four hybrid offspring with genotypes Yy . The offspring will be yellow, but will carry the recessive green gene. Suppose that both parent pea plants are hybrids with genotype Yy . a. Make a chart showing the possible genotypes of the offspring. b. What is the probability that a given offspring will have green peas? c. What is the probability that a given offspring will have yellow peas?
Solution Summary: The author explains that if two plants with one yellow gene and one green gene are crossed, the following table shows the possible genotypes.
Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are
Y
for yellow and
y
for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The
Y
gene is dominant, and therefore a plant with genes
YY
will have yellow peas, a plant with genes
Yy
or
yY
will have yellow peas, and a plant with genes
yy
will have green peas.
If a plant with two yellow genes
YY
is crossed with a plant with two green genes
yy
, the result is four hybrid offspring with genotypes
Yy
. The offspring will be yellow, but will carry the recessive green gene.
Suppose that both parent pea plants are hybrids with genotype
Yy
.
a. Make a chart showing the possible genotypes of the offspring.
b. What is the probability that a given offspring will have green peas?
c. What is the probability that a given offspring will have yellow peas?
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
Determine whether the lines
L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and
L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8)
intersect. If they do, find the point of intersection.
● They intersect at the point
They are skew lines
They are parallel or equal
College Algebra with Modeling & Visualization (5th Edition)
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