VCE General & Further Maths Question Thread!

[Coffee]

do you think it's too late to get a statement for the further exams? I think i was deprived of a 50 since i was rank 1 all year and got A+ on all areas of study including BOTH exams, and the rank 3 got a 49.... I know 48 is a decent score, but I don't think i was fairly marked? Cheers

I'm assuming you're talking about the Statement of Marks? According to the application form it closed on the 13th of February with the 12th of March being the absolute final chance. Unfortunately it is too late.

[AngelWings]

How would I do part h in the attachment without making guesses??

See Question 3e from Exam 2 in last year's paper. (Answers are out too.) This question is rather similar.

[I am a unicorn]

Hi

Just a quick question about units, do we need to give units for things like standard deviation?
For example, if we were given data on the 'number of children per school' and then asked to calculate the standard deviation, do we write the standard deviation is X children (or just X)

Thanks!

[keltingmeith]

Hi

Just a quick question about units, do we need to give units for things like standard deviation?
For example, if we were given data on the 'number of children per school' and then asked to calculate the standard deviation, do we write the standard deviation is X children (or just X)

Thanks!

You should just be writing X.

[RazzMeTazz]

Would it be correct to say that the sum of the residuals from a regression line, would be close to 0?

Thankyou

[theBRENDAN97]

T= _                                  _   S= _     _
     |  0.66  0.04  0.04  0.08 |        |  25  |
     |  0.09  0.84  0.15  0.09 |        |  25  |
     |  0.13  0.08  0.77  0.07 |        |  25  |
     |  0.12  0.04  0.04  0.76 |        |  25  |
     -                                   -        -       -
     
Determine where the one hundred new cars will be in the long-term, how many weeks does it take to reach this steady state?
Is there a faster method to finding this?

I found the long-term= _            _
                                  | 12.4031 |  Adelaide
                                  | 42.5356 |  Canberra
                                  | 27.2318 |  Melbourne
                                  | 17.8295 |  Sydney
                                  -             -
Just wondering when you say the number of cars out of the matrix, even if it's above 0.5 do you round down seeing you can't have a fraction of a car? Or is it normal to round up?
Thankyou!!!
   

[more_vanilla]

Hi!
Q: Given a table with average rainfall for 4 seasons, and the seasonal index for two of the seasons, how would i find the seasonal index for one of the missing seasons??
E.g. question 11 from core section of 2012 exam 1 (/attached pic) where we're asked to find the SI for spring
Answer was approx 1.13

Thank you

[Peanut Butter]

Hi!
Q: Given a table with average rainfall for 4 seasons, and the seasonal index for two of the seasons, how would i find the seasonal index for one of the missing seasons??
E.g. question 11 from core section of 2012 exam 1 (/attached pic) where we're asked to find the SI for spring
Answer was approx 1.13

Thank you

I'm not sure if this is right.... but this is how I worked it out.

4 - 1.01 - 0.96 = 2.03

2.03 is the sum of the winter and spring seasonal index

I then assumed that winter had a SI of 0.9 as its average rainfall was lower than that of summer, thus the seasonal index would be lower than 0.96.

Then, I did 2.03 - 0.9 which = 1.13 😊

[more_vanilla]

I'm not sure if this is right.... but this is how I worked it out.

4 - 1.01 - 0.96 = 2.03

2.03 is the sum of the winter and spring seasonal index

I then assumed that winter had a SI of 0.9 as its average rainfall was lower than that of summer, thus the seasonal index would be lower than 0.96.

Then, I did 2.03 - 0.9 which = 1.13

Yeah I got the 2.03 but wasn't sure how to calculate the individual SI.
Your method makes sense... but i feel so insecure having to 'assume' the value of something :/
I guess I just want to be sure that something is right (especially for further T_T)

But thanks for helping me out ((:

[theBRENDAN97]

T= _                                  _   S= _     _
     |  0.66  0.04  0.04  0.08 |        |  25  |
     |  0.09  0.84  0.15  0.09 |        |  25  |
     |  0.13  0.08  0.77  0.07 |        |  25  |
     |  0.12  0.04  0.04  0.76 |        |  25  |
     -                                   -        -       -
     
Determine where the one hundred new cars will be in the long-term, how many weeks does it take to reach this steady state?
Is there a faster method to finding this?

I found the long-term= _            _
                                  | 12.4031 |  Adelaide
                                  | 42.5356 |  Canberra
                                  | 27.2318 |  Melbourne
                                  | 17.8295 |  Sydney
                                  -             -
[[Just wondering when you say the number of cars out of the matrix, even if it's above 0.5 do you round down seeing you can't have a fraction of a car? Or is it normal to round up? ]]
Thankyou!!!
   

Bump please I have a sac on this tomorrow.

[MightyBeh]

Your method makes sense... but i feel so insecure having to 'assume' the value of something :/

You could also find the seasonal index by doing the following:

Where SI is seasonal index, and SA is the seasonal average. The seasonal average is found by:


So, in context to your problem:

Spoiler

Then it's usually good practice with a question like this to check that your number is right by first substituting values you already have the answer to:

Which is true, so we're good to continue on with the others.

Then you could either use the addition/subtraction method to find Spring:

Or you could use the seasonal average again:

Just wondering when you say the number of cars out of the matrix, even if it's above 0.5 do you round down seeing you can't have a fraction of a car? Or is it normal to round up?     

Bump please I have a sac on this tomorrow.

It depends on the question. If it seems realistic to round down even if it's 0.5, do it. Further maths is primarily based around real world maths and if I were selling cars (or whatever the question is about, it's hard to tell) I wouldn't count profit on cars I couldn't technically sell. Might wanna ask your maths teacher if you're still not sure; they're the one marking your SAC, not me.

[chansena]

Hi!


Could someone please help me with this question

Marcia is 1.5 m tall and casts a shadow 4 m long. Her shadow and the shadow cast by a tree
nearby are parallel on the ground. The end of Marcia’s shadow on the ground lines up with
the end of a shadow cast by the tree h m high. If the distance between the tree and Marcia
is 20 m, find h, the height of the tree.

 

[StupidProdigy]

Hi!


Could someone please help me with this question

Marcia is 1.5 m tall and casts a shadow 4 m long. Her shadow and the shadow cast by a tree
nearby are parallel on the ground. The end of Marcia’s shadow on the ground lines up with
the end of a shadow cast by the tree h m high. If the distance between the tree and Marcia
is 20 m, find h, the height of the tree.

 

similar triangles yeah

[chansena]

similar triangles yeah

Yup but i keep getting the answer wrong I think im doing it correct

[RazzMeTazz]

My textbook says: "Bivariate or (x,y,) data is data where both x and y could vary independently."

I thought in bivariate data there was always one independent and dependent variable?