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 one parent pea plant has genotype YY and the other has 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 one parent pea plant has genotype YY and the other has 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 a plant with two yellow genes (YY) is crossed with another plant, the outcome is four hybrid offspring with genotypes Yy.
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 one parent pea plant has genotype
YY
and the other has 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?
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
428 mph
41°
50 mph
a. The ground speed of the airplane is
b. The bearing of the airplane is
mph.
south of west.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
a. The resultant force is
(Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°))
b. It's magnitude is
lb.
c. It's angle from the positive x-axis is
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:
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