Solve the problem.Find the expected number of boys in a family of 6 children.

A. 4
B. 3.75
C. 3.5
D. 3


Answer: D

Mathematics

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Graph the equation and its tangent.Graph y = x2 + 2x + 2 and the tangent to the curve at the point whose x-coordinate is 1.

A.

B.

C.

D.

Mathematics

The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s range from 35 to 40 million per year and death rates range from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 100 billion. Use the logistic model to predict the world population in the 2,450 year. Calculate your answer in billions to one decimal place. (Because the initial population is small compared to the carrying capacity, you can take k to be an estimate of the initial relative growth rate.)

a. 78.3 billion b. 27.0 billion c. 17.1 billion d. 59.2 billion e. 32.9 billion

Mathematics

Graph the system of inequalities. Shade the region that represents the points of intersection.

A.

B.

C.

D.

Mathematics

Find dy/dx by implicit differentiation. = x2 + y2

A.
B.
C.
D.

Mathematics