Mathematics B - Regents High School Examination, The University Of New York, 2010 Page 2

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Part I
Answer all questions in this part. Each correct answer will receive 2 credits. No partial credit
will be allowed. For each question, write on the separate answer sheet the numeral preceding the
word or expression that best completes the statement or answers the question.
[
]
40
Use this space for
1 Pete and Sean decide to raise money for a charity by having a carnival
computations.
in their backyard. In one of the games that they set up, the probability
that a person will win is 0.4. If Robyn plays that game nine times, what
is the probability that she wins exactly four times?
5
4
4
5
(1)
C
(0.4)
(0.4)
(3)
C
(0.4)
(0.6)
9
5
9
4
4
5
5
4
(2)
C
(0.5)
(0.5)
(4)
C
(0.4)
(0.6)
9
4
9
5
2 Which number is the largest?
1
−
1
⎛
⎞
⎛
⎞
2
1
1
⎜
⎟
⎜
⎟
(1)
(3)
⎝
⎠
⎝
⎠
4
4
0
2
⎛
⎞
⎛
⎞
1
1
⎜
⎟
⎜
⎟
(2)
(4)
⎝
⎠
⎝
⎠
4
4
3 The point A(6,3) maps onto A′(2,1) under a dilation with respect to the
origin. What is the constant of dilation?
1
(1)
(3) 3
3
1
(4) −2
(2)
2
4
−
4 If cos
=
and
lies in Quadrant II, what is the value of tan ?
5
3
3
−
(1)
(3)
4
4
4
4
−
(2)
(4)
3
3
[2]
Math. B – June ’10

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