Mathematics B - Regents High School Examination - The University Of The State Of New York - 2009 Page 3

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3 If the probability that the Islanders will beat the Rangers in a game
computations.
2
is
, which expression represents the probability that the Islanders
5
will win exactly four out of seven games in a series against the Rangers?
4
3
4
3
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
2
3
2
2
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
(1)
(3)
C
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
7
4
5
5
5
5
2
3
4
3
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
4
3
2
3
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
(2)
(4)
C
C
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
5
2
7
4
5
5
7
7
− x − 6 < 0?
2
4 What is the solution of the inequality x
(1) −3 < x < −2
(3) 1 < x < 6
(2) −2 < x < 3
(4) −3 < x < 2
55
5 Which expression is equivalent to i
?
(1) 1
(3) i
(2) −1
(4) −i
6 What is the translation that maps the function f(x) = x
− 1 onto the
2
function g(x) = x
+ 1?
2
(1) T
(3) T
0,2
1,–1
(2) T
(4) T
0,1
–1,1
7 The height of a swimmer’s dive off a 10-foot platform into a diving pool
is modeled by the equation y = 2x
− 12x + 10, where x represents the
2
number of seconds since the swimmer left the diving board and
y represents the number of feet above or below the water’s surface.
What is the farthest depth below the water’s surface that the swimmer
will reach?
(1) 6 feet
(3) 10 feet
(2) 8 feet
(4) 12 feet
[3]
[OVER]
Math. B – Jan. ’09

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