Exercises 49-54 deal with sickle cell anemia, an inherited disease in which red blood cells become distorted and deprived of oxygen. Approximately 1 in every 500 African-American infants is born with the disease; only I in 160,000 white infants has the disease. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, nonfatal anemia called sickle cell trait. (Approximately 8%-W% of the African-American population has this trait.) Second Parent S s First S SS Ss Parent s sS ss If we use s to represent a sickle cell gene and S a healthy gene, the above table shows the four possibilities for the children of two Ss parents. Each parent has only one sickle cell gene, so each has the relatively mild sickle cell trait. Find the probability that these parents give birth to a child who Find the probability that these parents give birth to a child who has sickle cell anemia.
Exercises 49-54 deal with sickle cell anemia, an inherited disease in which red blood cells become distorted and deprived of oxygen. Approximately 1 in every 500 African-American infants is born with the disease; only I in 160,000 white infants has the disease. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, nonfatal anemia called sickle cell trait. (Approximately 8%-W% of the African-American population has this trait.) Second Parent S s First S SS Ss Parent s sS ss If we use s to represent a sickle cell gene and S a healthy gene, the above table shows the four possibilities for the children of two Ss parents. Each parent has only one sickle cell gene, so each has the relatively mild sickle cell trait. Find the probability that these parents give birth to a child who Find the probability that these parents give birth to a child who has sickle cell anemia.
Solution Summary: The author explains that the probability of a child having sickle cell anemia is 14.
Exercises 49-54 deal with sickle cell anemia, an inherited disease in which red blood cells become distorted and deprived of oxygen. Approximately 1 in every 500 African-American infants is born with the disease; only I in 160,000 white infants has the disease. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, nonfatal anemia called sickle cell trait. (Approximately 8%-W% of the African-American population has this trait.)
Second Parent
S
s
First
S
SS
Ss
Parent
s
sS
ss
If we use s to represent a sickle cell gene and S a healthy gene, the above table shows the four possibilities for the children of two Ss parents. Each parent has only one sickle cell gene, so each has the relatively mild sickle cell trait. Find the probability that these parents give birth to a child who
Find the probability that these parents give birth to a child who
M = log
The formula
determines the magnitude of an earthquake,
where / is the intensity of the earthquake and S is the intensity of
a "standard earthquake." How many times stronger is an
earthquake with a magnitude of 8 than an earthquake with a
magnitude of 6? Show your work.
Now consider equations of the form ×-a=v
= √bx + c, where a, b, and c
are all positive integers and b>1.
(f) Create an equation of this form that has 7 as a solution and
an extraneous solution. Give the extraneous solution.
(g)
What must be true about the value of bx + c to ensure that
there is a real number solution to the equation? Explain.
The equation ×+ 2 = √3x+10 is of the form ×+ a = √bx + c, where a, b, and
c are all positive integers and b > 1. Using this equation as a
model, create your own equation that has extraneous solutions.
(d) Using trial and error with numbers for a, b, and c, create an
equation of the form x + a = √bx + c, where a, b, and c are all
positive integers and b>1 such that 7 is a solution and there
is an extraneous solution. (Hint: Substitute 7 for x, and
choose a value for a. Then square both sides so you can
choose a, b, and c that will make the equation true.)
(e) Solve the equation you created in Part 2a.
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