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#6826 2016-05-20 02:12:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5841 is correct. Neat work, bobbym!

#5842. Water is flowing at the rate of 7 m/s through a circular pipe whose internal diameter is 2 cm into a cylindrical tank the radius of whose base is 40 cm. Determine the increase in the water level in 1/2 hour.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6827 2016-05-20 04:54:17

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6828 2016-05-20 18:12:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5842 is correct. Marvelous, bobbym!

#5843. Find the coordinates of the circumcenter of a triangle whose vertices are A(4,6), B(0,4), and C(6,2). Also find its circumradius.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6829 2016-05-21 16:08:36

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6830 2016-05-21 18:24:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5843 (two parts) are correct. Excellent, bobbym!

#5844. One card is drawn from a well-shuffled of 52 cards. Find the probability of getting
(i) a king of red color.
(ii) a face card.
(iii) a red face card.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6831 2016-05-21 20:09:46

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6832 2016-05-21 23:50:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5844 (three parts) are correct. Neat work, bobbym!

#5845. One card is drawn from a well-shuffled of 52 cards. Find the probability of getting
(i) the jack of hearts.
(ii) a spade.
(iii) the queen of diamonds.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6833 2016-05-22 15:24:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6834 2016-05-22 17:32:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5845 (three parts) are correct. Good work, bobbym!

#5846. Five cards - the ten, jack, queen, king, and ace of diamonds, are well shuffled with their face downwards. One card is then picked at random.
(i) What is the probability that the card is the queen?
(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6835 2016-05-23 18:12:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6836 2016-05-24 00:41:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solutions in #5846 are correct. Neat work, bobbym!

#5847. 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at the pen and tell weather or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6837 2016-05-24 06:49:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6838 2016-05-24 19:47:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5847 is correct. Neat work, bobbym!

#5848. (i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6839 2016-05-25 06:56:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6840 2016-05-25 19:05:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5848(a) is correct. Neat work!

#5849. A box contains 90 discs which are numbered from 1 to 90. If 1 disc is drawn at random from the box, find the probability that is bears
(i) a two-digit number.
(ii) a perfect square number.
(iii) a number which is divisible by 5.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6841 2016-05-26 13:54:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6842 2016-05-26 18:59:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solutions #5849 (three parts) are correct. Neat work, bobbym!

#5850. A child has a die whose six faces show the letters as given below:
A   B   C   D   E   A
The die is thrown once. What is the probability of getting (i) A? (ii) D?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6843 2016-05-27 15:02:13

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: 10 second questions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#6844 2016-05-27 15:28:11

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6845 2016-05-27 17:23:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5850 (two parts) are correct. Neat work, Monox D. I-Fly and bobbym!

#5851. A lot consists of 144 ball-pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws a pen at random and gives it to her. What is the probability that
(i) she will but it?
(ii) she will not buy it?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6846 2016-05-27 18:42:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6847 2016-05-28 14:08:43

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solution #5851 (two parts) are correct. Neat work, bobbym!

#5852. A die is throw twice. What is the probability that
(i) 5 will not come up either time?
(ii) 5 will come up at least once?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6848 2016-05-28 18:17:23

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6849 2016-05-29 20:47:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 10 second questions

Hi;

The solutions in #5852 are correct. Excellent, bobbym!

#5853. A box contains 20 balls bearing numbers 1, 2, 3, 4, ..., 20. A balls is drawn at random from the box, what is the probability that the number on the ball is
(i) an odd number?
(ii) divisible by 2 or 3?
(iii) prime number?
(iv) not divisible by 10?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6850 2016-05-29 21:07:58

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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