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Apr 8, 2015
 #485
avatar+118723 
+8

@@ End of Day Wrap   Wed 8/4/15    Sydney, Australia    Time 11:41am   ♪ ♫

 

Good evening:

Our answer credits today go to Natthanda, MathsGod1, Looloo, CPhill, Geno3141, MrOmege and Alan. A very big thank you to each of you  .

 

Interest Posts:

 

FTJ means "For the Juniors"

1)      Solving quadratic inequalities                              Thanks CPhill

2)      Finding the constant of variation                         Melody

3)      Rationalizing the denominator                            Melody

4)      Solving Trig equations                                        Thanks CPhill

5)      Function Notation    FTJ                                    Thanks CPhill

6)      A good volume question                                    Thanks Alan

7)      Functions and their graphs                                 Thanks CPhill, Alan and Melody

8)      Scientific notation and significant figures   FTJ     Thanks anon and Melody

9)      Counting again.  I must have far tooo much time one my hands     LOL

10)    Trig identity proof                                              Not answered.    

             

                    ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Apr 8, 2015
 #292
avatar+118723 
0

thurs 9/4/15

FTJ means "For the Juniors"

1)     Counting question - Repeated       

2)     Fairly Basic probability - good for middle/upper high school             Melody     

3)     Compounded pay rises                                                                 Thanks Civonamzuk and Reinout-g

4)     Number facts        FTJ                                                                   Thanks Anon

5)     Transforming number plane graphs - this is really cool maths      Melody               

6)     Working with rates                                                                       Thanks CPhill

7)     IRA Calculus question                                                                    Not answered yet

8)     Manipulating trig - Inverse sine                                                      Thanks CPhill and Melody

9)     Finding lowest Common Denominator use prime factors.               Thanks CPhill

10)   Solving quadratics by completing the squares                                 Thanks CPhill  (and you tube )

11)   Volume       (for lower high school students)                                  Thanks Natthada

12)   What are Tree diagrams        FTJ                                                   Thanks Natthada

                      

                    ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Apr 8, 2015
 #1
avatar+118723 
+8

I DON'T KNOW

but

If you put 2 on each question to start with that is 16 points,

the question becomes,

How many ways can you allocate 14 marks to 8 questions.

 

14,0,0,0,0,0,0,0                              8 ways

13,1,0,0,0,0,0,0                 8!/6! =  56

12,2                                            56

12,1,1                          8!/(5!2!) =168

11,3                                           56

11,2,1                                   $${\frac{{\mathtt{8}}{!}}{{\mathtt{5}}{!}}} = {\mathtt{336}}$$

11,1,1,1,                                $${\frac{{\mathtt{8}}{!}}{\left({\mathtt{4}}{!}{\mathtt{\,\times\,}}{\mathtt{3}}{!}\right)}} = {\mathtt{280}}$$

10,4                                           56

10,3,1                                      336

10,2,2                                        $${\frac{{\mathtt{8}}{!}}{\left({\mathtt{5}}{!}{\mathtt{\,\times\,}}{\mathtt{2}}{!}\right)}} = {\mathtt{168}}$$

10,2,1,1                                   $${\frac{{\mathtt{8}}{!}}{\left({\mathtt{4}}{!}{\mathtt{\,\times\,}}{\mathtt{2}}{!}\right)}} = {\mathtt{840}}$$

10,1,1,1,1,               

9,5                                            

9,4,1                                          

9,3,2                                           

9,3,1,1                                         

9,2,1,1,1                      

9,1,1,1,1,1                  

8,6                                          

8,5,1                                             

8,4,2,                                           

8,4,1,1,                                         

8,3,3                                             

8,3,2,1                        

8,3,1,1,1,              

8,2,2,2                                          

8,2,2,1,1                   

8,2,1,1,1,1,

8,1,1,1,1,1,1,

7,7                                                           

7,6,1                                                

7,5,2                                                  

7,5,1,1                                                

7,4,3,                                               

7,4,2,1                                                 

7,4,1,1,1,                                           

7,3,3,1                                               

7,3,2,2                                                  

7,3,2,1,1,                          

7,3,1,1,1,1,

7,2,2,1,1,1,

7,2,1,1,1,1,1,

7,1,1,1,1,1,1,1,

6,5,3                                               

6,5,2,1                                                

6,5,1,1,1                                      

6,4,4,                                                  

6,4,3,1                                               

6,4,2,2,                                            

6,4,2,1,1,                                      

6,4,1,1,1,1,

6,3,3,2                                               

6,3,3,1,1                                          

6,3,2,2,1

6,3,2,1,1,1,

6,3,1,1,1,1,1,

6,2,2,2,2

6,2,2,2,1,1

6,2,2,1,1,1,1,

6,2,1,1,1,1,1,1

5,5,4                                           

5,5,3,1                                       

5,5,2,2

5,5,2,1,1,                                         

5,5,1,1,1,1,

5,4,4,1                                               

5,4,3,2                                                    

5,4,3,1,1                                              

5,4,2,1,1,1

5,4,1,1,1,1,1

5,3,3,3

5,3,3,2,1

5,3,3,1,1,1,

5,3,2,1,1,1,1

5,3,1,1,1,1,1,1,

5,2,2,2,2,1

5,2,2,2,1,1,1,

5,2,2,1,1,1,1,1,

4,4,4,2                                                

4,4,4,1,1,

4,4,3,3

4,4,3,2,1

4,4,3,1,1,1,

4,4,2,1,1,1,1,

4,4,1,1,1,1,1,1,

4,3,3,3,1                                      

4,3,3,2,2,                                    

4,3,3,2,1,1

4,3,3,1,1,1,1,

4,3,2,2,2,1

4,3,2,2,1,1,1,

4,3,2,1,1,1,1,1,

4,2,2,2,2,2

4,2,2,2,2,1,1

4,2,2,2,1,1,1,1,

3,3,3,3,2

3,3,3,3,1,1

3,3,3,2,2,1

3,3,3,2,1,1,1,

3,3,3,1,1,1,1,1,

3,3,2,2,2,2,

3,3,2,2,2,1,1,

3,3,2,2,1,1,1,1,

3,2,2,2,2,2,1

3,2,2,2,2,1,1,1,

2,2,2,2,2,2,2

2,2,2,2,2,2,1,1

                                                 TOTAL=

 

OBVIOUSLY THERE IS A MUCH SIMPLER WAY BUT MAYBE THIS WOULD WORK TOO :)     LOL

Apr 8, 2015
 #2
avatar+118723 
+5

Chris, I think that you may have confused Bhutan the country with Rambutan the fruit.

 

You are right - we are very strict about what fruit enters Austrlia.  And I do not think that we would allow our country to be litterally covered in Rambutans     ROF  LOL

 

http://en.wikipedia.org/wiki/Rambutan

 

 

Area of Bhutan       38,394 km²

Area of Australia   7,692,024 km²

 

$${\frac{{\mathtt{8\,692\,024}}}{{\mathtt{38\,394}}}} = {\mathtt{226.390\: \!165\: \!129\: \!968\: \!224\: \!2}}$$

 

there you go 226 Bhutans will fit into Australia  :)

This would be better expressed as

Australia land mass is 226 time greater than the land  mass of Bhutan :)

Apr 8, 2015

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