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Hi JC/A-Level Mathematics Tuition Students Singapore
Hi Wei Ren
N88/II/6
a) P(all the four cards are different) = (10x9x8x7)/(10x10x10x10) = 63/125
b) Since the first three are different. He has 10x9x8 choices. The fourth card is the same as either one of the first 3 cards, therefore he has 3 choices. Althogether he has 10x9x8x3 choices.
P(exactly 3 different pictures out of a total of four cards) = (10x9x8x3)/10^4 = 27/125
c) Required probability = 1 – P(all the four cards does not contain X or Y)= 1- (8/10)^4 = 0.591
d) P(n more cards are needed) (9/10)^n-1 x (1/10)
P( at most n more cards are needed) = 1/10 + (9/10)(1/10)………..(9/10)^n-1 x (1/10)
This is sum of GP
1- (9/10)^n > 099
n > 43.7
least value n = 44
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Hi Genevieve, solutions are posted on Mathematics Resource
Please contact me if u have questions on the solutions
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Hi Ros
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Hi Micole
Solutions is in the Study Resources
All the Best
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Good News!, there is a lesson on Sunday 25 March 8.30am to 10 am on Ionic Equilibrium.
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Hi Crystal as per request
Q2i)
let vector a = (1,2,1) and vector b = (2,4,c)
a.b = lallblCosx
2+6+c = root(6).root(20+c^2)Cos0
……………
Solve for c
4c)
Vector eqn r = (0,0,1)lamda
Cartesian eqn : x=0, y=0, Z=lamda
Q6) P=(0,0,0) line r=(3,1,4)+t(-2,1,2)
Let N be the foot of perpendicular from point P to the line
Since N lies on the line
ON = (3-2t,1+t,4+2t)
PN = ON – OP
= (3-2t,1+t,4+2t)
Since PN is perpendicular to the line
(3-2t,1+t,4+2t).(-2,1,2)=0
Solve for t and sub back to ON
Cheers!
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Hi A-Level/JC Chemistry Tuition Students – Singapore
For the same molecular formula, the cis isomer has a higher boiling point than the trans isomer.
Reasons:
_ The cis isomer is polar while the trans isomer is non-polar.
_ The polar cis isomer has permanent dipole- permanent dipole forces of
attraction between its molecules while the non-polar trans isomer has weak induced dipole-induced dipole forces of attraction between its molecules.
_ More energy is required to overcome the stronger permanent dipolepermanent dipole forces between the molecules of cis isomer.
_ Hence, the cis isomer has a higher boiling point than the trans isomer.
Why is the melting point of the cis isomers lower?
You might have thought that the same argument would lead to a higher melting point for cis isomers as well, but there is another important factor operating.
In order for the intermolecular forces to work well, the molecules must be able to pack together efficiently in the solid.
Trans isomers pack better than cis isomers. The “U” shape of the cis isomer doesn’t pack as well as the straighter shape of the trans isomer.
The poorer packing in the cis isomers means that the intermolecular forces aren’t as effective as they should be and so less energy is needed to melt the molecule – a lower melting point.
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Hi Issac
Solution is in the study resource
All the best for your coming test
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Solutions posted on Mathematics Resources
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Hi Ki Hyun
Will print hard copy for u and the group.
From A-Level Physics Tuition Tutor Singapore
