Regents High School Examination Mathematics Worksheet - University Of The State Of New York Page 6

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13 A radioactive substance has an initial mass of 100 grams and its mass
computations.
halves every 4 years. Which expression shows the number of grams
remaining after t years?
t
t
⎛
⎞
1
4
4
(1)
(3)
100 4
( )
100
⎝ ⎜
⎠ ⎟
2
4
t
⎛
⎞
− t
2
1
(2)
(4)
100 4
( )
100
⎝ ⎜
⎠ ⎟
2
14 In the accompanying diagram, line
is perpendicular to line m at A,
line k is perpendicular to line m at B, and lines , m, and k are in the
same plane.
m
A
B
k
Which statement is the first step in an indirect proof to prove that
is parallel to k?
(1) Assume that , m, and k are not in the same plane.
(2) Assume that
is perpendicular to k.
(3) Assume that
is not perpendicular to m.
(4) Assume that
is not parallel to k.
15 Which method of collecting data would most likely result in an
unbiased random sample?
(1) selecting every third teenager leaving a movie theater to answer a
survey about entertainment
(2) placing a survey in a local newspaper to determine how people
voted in the 2004 presidential election
(3) selecting students by the last digit of their school ID number to
participate in a survey about cafeteria food
(4) surveying honor students taking Mathematics B to determine the
average amount of time students in a school spend doing
homework each night
[6]
Math. B – Jan. ’08

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