Solve the problem.In a probability model, which of the following numbers could be the probability of an outcome:0, 0.2, -0.01, - 
, 
, 
, 1, 1.5
A. 0, 0.2, -0.01, - 
, 
, 1
B. 0, 0.2, 
, 1
C. 0.2, 
, 1
D. 0, 0.2, -0.01, 1, 1.5
Answer: B
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Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the semicircle y = 
if the density of the rod is 
.
A. 
= 
, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 1
D. 
= 1, 
= 1
Solve the problem.The logistic growth function f(t) = 
models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 7 weeks?
A. 56,001 people B. 37,167 people C. 350 people D. 57,120 people
The base of a solid is the region bounded by the graphs of y = 4 – x2 and y = 0. The cross sections perpendicular to the y-axis are equilateral triangles. Find the volume of the solid.
What will be an ideal response?
Write the number in scientific notation.78,000
A. 7.8 x 10-4 B. 7.8 x 104 C. 7.8 x 103 D. 7.8 x 10-3