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March 29, 2024, 09:40:27 am

Author Topic: VCE Methods Question Thread!  (Read 4802841 times)  Share 

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FrankieDens

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Re: VCE Methods Question Thread!
« Reply #18585 on: June 17, 2020, 12:09:42 am »
0
Hi everyone,

I'm not exactly tech-savvy with my CAS so I'm so sorry if this is a noob question lol  :P

I was just wondering if there's a way for my CAS to tell me what transformations have been applied to a graph to create another graph.
e.g. What transformations have been placed on f(x)=1/(2x-4) + 3 to transform it into g(x)=1/x

I understand that you can just decipher what transformations have happened just by looking at the equations but just curious to see if it's possible for the CAS to tell you exactly what dilations, reflections or transformations have been applied.

Thank you!  :D
2019: Biology [40]
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Re: VCE Methods Question Thread!
« Reply #18586 on: June 17, 2020, 01:33:35 am »
0
Hi everyone,

I'm not exactly tech-savvy with my CAS so I'm so sorry if this is a noob question lol  :P

I was just wondering if there's a way for my CAS to tell me what transformations have been applied to a graph to create another graph.
e.g. What transformations have been placed on f(x)=1/(2x-4) + 3 to transform it into g(x)=1/x

I understand that you can just decipher what transformations have happened just by looking at the equations but just curious to see if it's possible for the CAS to tell you exactly what dilations, reflections or transformations have been applied.

Thank you!  :D

AFAIK no. At least not with the TI-Nspire.

If the CAS was THAT powerful there’d really be no point in VCAA testing students hahah.

VCE: Literature [50] Methods [50] Further [48] Chemistry [40] Biology [33]
2022: Bachelor of Science (Mathematical Economics) @ ANU

ABB0005

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Re: VCE Methods Question Thread!
« Reply #18587 on: June 18, 2020, 04:15:34 pm »
0
Is getting a shit score on my 1/2 exam gonna affect me next year for 3/4 methods?

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Re: VCE Methods Question Thread!
« Reply #18588 on: June 18, 2020, 04:42:08 pm »
+2
Is getting a shit score on my 1/2 exam gonna affect me next year for 3/4 methods?

1/2 results don't contribute to 3/4 score calculations*

make sure you learn from your mistakes for next year and try to fill any gaps in your foundation before 3/4



*there was some talk with covid about using 1/2 results but normally they don't influence study scores at all

Azila2004

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Re: VCE Methods Question Thread!
« Reply #18589 on: June 20, 2020, 11:03:05 pm »
0
Hello,

I have a question on permutations: If no number can be used more than once, how many numbers larger than 700 can be formed from the digits 3, 4, 5, 6, 7, 8?

It's says that the answer is 1560, but I don't really see how. I keep getting 1840 but don't really see what the error is. Help would be appreciated!  :D
Just someone who likes to learn a lot of questions.

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jammol7

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Re: VCE Methods Question Thread!
« Reply #18590 on: June 21, 2020, 08:47:47 pm »
0
Hello,

I have a question on permutations: If no number can be used more than once, how many numbers larger than 700 can be formed from the digits 3, 4, 5, 6, 7, 8?

It's says that the answer is 1560, but I don't really see how. I keep getting 1840 but don't really see what the error is. Help would be appreciated!  :D

Are you sure the answer is correct? Or maybe there's more to the question? I'm getting 1840 too.
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Azila2004

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Re: VCE Methods Question Thread!
« Reply #18591 on: June 22, 2020, 06:43:15 pm »
0
Are you sure the answer is correct? Or maybe there's more to the question? I'm getting 1840 too.

I'm not exactly sure, but it says that the answer is 1560. It's alright though!

Buuuut I do have another question :D
Bill is making a sandwich. He may choose any combination of the following: lettuce, tomato, carrot, cheese, cucumber, beetroot, onion and ham. Find the probability that: a) the sandwich contains ham    b) the sandwich contains 3 ingredients  c) the sandwich contains at least 3 ingredients



Help would be really appreciated!
Just someone who likes to learn a lot of questions.

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jammol7

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Re: VCE Methods Question Thread!
« Reply #18592 on: June 22, 2020, 07:42:42 pm »
0
I'm not exactly sure, but it says that the answer is 1560. It's alright though!

What no but I'm honestly confused. If I did make a mistake I need to know. Can someone please explain??

I did 2x5x4 + 6x5x4x3 + 6x5x4x3x2 + 6x5x4x3x2x1 = 1840. If the anwer is indeed 1560, then where did I go wrong?

Also can I have some help with the following questions:

In a game a coin is tossed 5 times. If all 5 are heads, you get $36. Otherwise, you lose the money you bid. What's the highest bid you would make? What's your expected profit?
What I have so far
Probability of winning is 1/32. So expected payoff is 1/32 x 36 which is 1.125. So would the highest bid just be $<1.125?? Like I bid $1.12 and my expected profit is half a cent?? It doesnt sound right to me

What if the same game is played 10,000 times? What's your highest bid?
What I have so far
Ok I don't understand this question at all. All the games are independent so why should my bid be different?

What kind of distribution is this?
What I have so far
Idk whether the answer should be binomial or normal distribution. Binomial bc there's only either heads or tails. But normal bc it's being played 10,000 times so would it be normal?

pls help!! Thank you!
VCE 2019-21
Lit 38 | Methods 47 | Bio 49 | Chem 50 |  PE 43 | Drama 38 | Sport & Rec 36

Azila2004

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Re: VCE Methods Question Thread!
« Reply #18593 on: June 22, 2020, 08:57:16 pm »
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What no but I'm honestly confused. If I did make a mistake I need to know. Can someone please explain??

I did 2x5x4 + 6x5x4x3 + 6x5x4x3x2 + 6x5x4x3x2x1 = 1840. If the anwer is indeed 1560, then where did I go wrong?

Also can I have some help with the following questions:

In a game a coin is tossed 5 times. If all 5 are heads, you get $36. Otherwise, you lose the money you bid. What's the highest bid you would make? What's your expected profit?
What I have so far
Probability of winning is 1/32. So expected payoff is 1/32 x 36 which is 1.125. So would the highest bid just be $<1.125?? Like I bid $1.12 and my expected profit is half a cent?? It doesnt sound right to me

What if the same game is played 10,000 times? What's your highest bid?
What I have so far
Ok I don't understand this question at all. All the games are independent so why should my bid be different?

What kind of distribution is this?
What I have so far
Idk whether the answer should be binomial or normal distribution. Binomial bc there's only either heads or tails. But normal bc it's being played 10,000 times so would it be normal?

pls help!! Thank you!

Ohhhhh, I just checked the book and found the mistake. I wrote the question wrong, it was actually 7000 instead of 700 :O
I spend a lot of my time writing the questions without thinking, so it was probable that I accidentally wrote something slightly incorrect. I'm so sorry, it was a silly mistake. Seriously, thank you though!
Just someone who likes to learn a lot of questions.

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thatdumbstudent

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Re: VCE Methods Question Thread!
« Reply #18594 on: June 22, 2020, 10:44:58 pm »
0
hi everyone, i've recently received a question like this in class today with those information (sorry for the bad drawing but i don't have the worksheet with me)
i was just wondering how should i start tackling this?
i started using turning point form then i also used the derivative = 0 when x = 10 but then got stuck afterwards
- ps. a scale was also given and i measured it and it was like 1.2cm=5m (if that helps)
- other than this i don't think there's enough information? is there? or is it that i'll have to actually measure the graph with a ruler?

jammol7

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Re: VCE Methods Question Thread!
« Reply #18595 on: June 23, 2020, 09:41:20 am »
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Ohhhhh, I just checked the book and found the mistake. I wrote the question wrong, it was actually 7000 instead of 700 :O
I spend a lot of my time writing the questions without thinking, so it was probable that I accidentally wrote something slightly incorrect. I'm so sorry, it was a silly mistake. Seriously, thank you though!
Ahhh that makes sense. My mind can rest now ;D

---

Can I please have some help with these questions?
In a game a coin is tossed 5 times. If all 5 are heads, you get $36. Otherwise, you lose the money you bid. What's the highest bid you would make? What's your expected profit?
What I have so far
Probability of winning is 1/32. So expected payoff is 1/32 x 36 which is 1.125. So would the highest bid just be $<1.125?? Like I bid $1.12 and my expected profit is half a cent?? It doesnt sound right to me

What if the same game is played 10,000 times? What's your highest bid?
What I have so far
Ok I don't understand this question at all. All the games are independent so why should my bid be different?

What kind of distribution is this?
What I have so far
Idk whether the answer should be binomial or normal distribution. Binomial bc there's only either heads or tails. But normal bc it's being played 10,000 times so would it be normal?

So sorry for constantly asking but I'm honestly stumped! Especially question 2!
VCE 2019-21
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colline

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Re: VCE Methods Question Thread!
« Reply #18596 on: June 23, 2020, 12:22:40 pm »
+3
hi everyone, i've recently received a question like this in class today with those information (sorry for the bad drawing but i don't have the worksheet with me)
i was just wondering how should i start tackling this?
i started using turning point form then i also used the derivative = 0 when x = 10 but then got stuck afterwards
- ps. a scale was also given and i measured it and it was like 1.2cm=5m (if that helps)
- other than this i don't think there's enough information? is there? or is it that i'll have to actually measure the graph with a ruler?

I'm not aware of rulers ever being required for measurement purposes on VCAA/NHT exams, so I doubt it. Unless they specified the diagram was to scale (which they never are in the final exams)

Also I'm not sure if I missed it, but what is the actual question? What are you trying to find?

In a game a coin is tossed 5 times. If all 5 are heads, you get $36. Otherwise, you lose the money you bid. What's the highest bid you would make? What's your expected profit?
What I have so far
Probability of winning is 1/32. So expected payoff is 1/32 x 36 which is 1.125. So would the highest bid just be $<1.125?? Like I bid $1.12 and my expected profit is half a cent?? It doesnt sound right to me

What if the same game is played 10,000 times? What's your highest bid?
What I have so far
Ok I don't understand this question at all. All the games are independent so why should my bid be different?

What kind of distribution is this?
What I have so far
Idk whether the answer should be binomial or normal distribution. Binomial bc there's only either heads or tails. But normal bc it's being played 10,000 times so would it be normal?
1. Yeah it's correct
2. The expected payoff for ONE game is $1.125, so what would it be if you play the same game 10,000 times?
3. I think answering binomial would be sufficient. Central limit theorem is not on the study design.

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2022: Bachelor of Science (Mathematical Economics) @ ANU

pans

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Re: VCE Methods Question Thread!
« Reply #18597 on: July 02, 2020, 11:57:38 am »
+1
Hello, I started methods 1/2 this year and Im kind of struggling. Like I can do the textbook questions but when it comes to my sacs, THEY ARE REAL HARD! Like I seriously cant! Ive been getting like 64%, 75%, 78% etc. Before my sacs I not only do practice tests from school but also from "edrolo" and random resources. Can anyone please give me some advice? Btw, I also go tuition.

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Re: VCE Methods Question Thread!
« Reply #18598 on: July 02, 2020, 12:15:56 pm »
+7
Hello, I started methods 1/2 this year and Im kind of struggling. Like I can do the textbook questions but when it comes to my sacs, THEY ARE REAL HARD! Like I seriously cant! Ive been getting like 64%, 75%, 78% etc. Before my sacs I not only do practice tests from school but also from "edrolo" and random resources. Can anyone please give me some advice? Btw, I also go tuition.

Work smarter, not harder.

You seem to be preparing by what I like to call, the "shotgun approach". Imagine being a shooting range, and you want to hit the centre of the target - instead of taking a second to think, and using just a handful of bullets to hit the centre, you're just taking out a shot-gun and firing. The truth is, with this method you'll always hit the target, but you'd have to be damn lucky to hit the centre. So the question is, how are you working?

What do you do when you finish a question? Do you immediately look up the answer? What do you do if it's wrong? Do you just look up a worked solution, or ask someone to solve it for you? What about when you get it right? Do you think about it all, or do you just do the next one? How many of these questions do you have a good think about? Do you ever try to use a different method to solve a question? Have you ever tried asking, "I could answer a question this way, but what if I change x and y to be z and f?" What do you do when you get a SAC back? Do you look at where you went wrong? What do you do then - again, do you just ask for the worked solution, and move on?

It's really easy to get stuck on, "I can answer these types of questions, or those types of questions, but I don't know the trick for *this* question!!" And here's the secret - there is no trick. There's never any trick. The "trick" is understanding the material, and taking time to understand how you tool box of maths works. For example, consider the following question:



Some might say that the "trick" is to realise that:



and apply the product rule. I disagree - in this case, it's not a "trick". All you've done is realised you can use what you know about exponentials to help you answer this question. In fact, there's another "trick" you could use for this question - and I'll leave you to figure it out.

So, here's the question you need to ask yourself - are you truly understanding your material, and taking the effort after you get a question wrong to figure out why you got it wrong? Or are you just trying to do as many questions as possible, memorising "the trick" to all of them, and hoping that those questions end up on your exam?

Sorry if the tone of this post feels incredibly "called out" - I'm gonna be honest, I've made a lot of assumptions here about you that might not be true. So, if none of this is true - and you truly would consider yourself the kind of person that's working smarter, not harder - why don't you tell us about /how/ you go about using your study materials?

Azila2004

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Re: VCE Methods Question Thread!
« Reply #18599 on: July 05, 2020, 02:20:35 pm »
+1
Hello!

I have a question to ask on binomial distribution: What is the least number of times a fair die should be rolled in order to ensure that: a the probability of observing at least one 6 is more than 0.9 b the probability of observing more than one 6 is more than 0.9?

How do I use the formula Pr(X=x) = nCr(n,x) p^x (1-p)^(n-x) in my approach to this question?
'n' has to stay unknown, but I'm not sure how to format the probability being more than 0.9 and the value of x being between 1 and n.

Help would be appreciated!!  :D
Just someone who likes to learn a lot of questions.

Aspiring medical practitioner! ʕ•́ᴥ•̀ʔっ


2021: Biology, Psychology
2022: Mathematical Methods, Specialist Maths, English Language and Chemistry (We'll see!)