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What is the probability that a waitress will
refuse to serve alcoholic beverages to only 2 minors
if she randomly checks the IDs of 5 among 9 students,
4 of whom are minors?
refuse to serve alcoholic beverages to only 2 minors
if she randomly checks the IDs of 5 among 9 students,
4 of whom are minors?
Math
The vertices of a triangle ΔABC are Apq (,) , B(,) r s ,Cuv (,) . Assume that these
coordinates satisfy
2 34 0
234 0
pru
qsv
⎧ ++ = ⎨
⎩ ++ =
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
(a) 2
9
(b) 4
9
(c) 2
7
(d) 3
7
(e) 4
7
coordinates satisfy
2 34 0
234 0
pru
qsv
⎧ ++ = ⎨
⎩ ++ =
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
(a) 2
9
(b) 4
9
(c) 2
7
(d) 3
7
(e) 4
7
Math
Let 2
a = cos( ) π ，Which of the following is true？
(a) a = −1 (b) 1 1
2
− < ≤− a (c) 1 0
2
− < ≤ a (d) 1 0
2
< a ≤ (e) 1 1
2
< ≤
a = cos( ) π ，Which of the following is true？
(a) a = −1 (b) 1 1
2
− < ≤− a (c) 1 0
2
− < ≤ a (d) 1 0
2
< a ≤ (e) 1 1
2
< ≤
Math
How many lines on the coordinate plane that has distance 1 to the originO , (0 0) and
distance 2 to the point A , (3 0)？
(a) 1 (b) 2 (c) 3 (d) 4 (e) infinitely many
distance 2 to the point A , (3 0)？
(a) 1 (b) 2 (c) 3 (d) 4 (e) infinitely many
Math
If 3 2 f () 2 5 xx xx = − −+ , then the remainder of gx f f x ( ) ( ( )) = divided by ( 2) x − is
(a) 3 (b) 5 (c) 7 (d) 9 (e) 11
(a) 3 (b) 5 (c) 7 (d) 9 (e) 11
Say in(Triangle) ◇ABC ,D,E,F are three points on
BC,CA,AB respectively, such that AE:EC=1:3, DC:DB=2:1, BF:FA=3:2
What is the area of (Triangle) ◇HIG?
BC,CA,AB respectively, such that AE:EC=1:3, DC:DB=2:1, BF:FA=3:2
What is the area of (Triangle) ◇HIG?
If σ is an even permutation, then σ ² = I . Write given statement is true or false, justify your answer.
A 12ft ramp rests against the edge of the floor at the back door of a truck. To make it stable 2.5 ft, of the ramp extends beyond the edge of the floor, which is 3.5 ft above the level ground. Find the cosine and tangent That makes with the ground?
a process yields 10% defective items. if 100 items are randomly selected from the process, what is the probability that the number of defectives
(a) exceeds 13?
(b) is less than 8?
(a) exceeds 13?
(b) is less than 8?
6x+18=h(3x+9)
