Standard Math Q+A Thread

[RuiAce]

Thanks so much
Much appreciate the help everyone

next up...

Erica owns 360 shares in a mining company. She paid $2.80 each for the shares and they are valued at $5.40 now. Erica received a dividend of $342
What was the dividend yield on the current market value of the shares?

How would I work out the current market value?

Note that we could also have done \( \frac{342/360}{5.40} \). The only thing that matters is that we consider the dividend for every 1 share, with the market value per 1 share. (In a way, the first method just considers the total number of shares that we have, whereas the second method does it on a unitary basis.)

[morning_sunshine]

Thank you Rui

Next question for ya....

Strong Credit Union has a credit card that requires a password of 6 digits and one of the letters A, B, C or D at the end. No digit may be used more than once.
How many different arrangements are possible?

[RuiAce]

Thank you Rui

Next question for ya....

Strong Credit Union has a credit card that requires a password of 6 digits and one of the letters A, B, C or D at the end. No digit may be used more than once.
How many different arrangements are possible?

[ca052267]

Hi.
Can someone please help me with this question? It's from 2016 HSC, and I'm really confused.

27 (b) A small population consists of three students of heights 153 cm, 168 cm and 174 cm. Samples of varying sizes can be taken from this population.
What is the mean of the mean heights of all the possible samples? Justify your answer.


Thank you

[jamonwindeyer]

Hi.
Can someone please help me with this question? It's from 2016 HSC, and I'm really confused.

27 (b) A small population consists of three students of heights 153 cm, 168 cm and 174 cm. Samples of varying sizes can be taken from this population.
What is the mean of the mean heights of all the possible samples? Justify your answer.


Thank you

Hey! So we can add the three heights in the population up and divide by three to get the population mean:



Now the questions asks for the mean of every possible sample mean. Now look, you could just list every possible sample (there are only seven of them), find the sample mean of each (we just did one), then find the average of those values. However, we don't have to - The mean of all possible sample means IS the population mean! So you calculate the population mean as above, give that statement in bold, and you are done for two marks - You've found the answer

Make sure you remember this little trick! It's actually a syllabus dot point by itself so super important

[ca052267]

Thanks so much.

We didn't go through this in class, so I was really confused, but thanks for clearing it up for me

[dannoabdelnour]

Hi!
I need to ask a question from a particular trial paper:

How many files of average size 1.5 MB can be stored on a 16 GB USB drive?
(A) 11
(B) 24
(C) 10 923
(D) 24 576

What i did was convert 16 GB to MB (16384MB) then i divided 16384 by 1.5 MB and got 10 922.66667, so I put C. I checked the answers to see if I got it right but the answers said it was D. They multiplied 16384 by 1.5 to get 24 576.

I tried to find a similar question to it and I did. This was from the 2014 HSC Specimen Paper:

Emma has 16 GB of data storage space available on her computer.
Approximately how many files of average size 7.2 MB can she store?
(A) 450
(B) 461
(C) 2222
(D) 2275

I did the exact same, I divided 16384MB by 7.2MB and got the right answer which was D.

Am I wrong or is this trial question wrong?

Thanks

[Natasha.97]

Hi!
I need to ask a question from a particular trial paper:

How many files of average size 1.5 MB can be stored on a 16 GB USB drive?
(A) 11
(B) 24
(C) 10 923
(D) 24 576

What i did was convert 16 GB to MB (16384MB) then i divided 16384 by 1.5 MB and got 10 922.66667, so I put C. I checked the answers to see if I got it right but the answers said it was D. They multiplied 16384 by 1.5 to get 24 576.

I tried to find a similar question to it and I did. This was from the 2014 HSC Specimen Paper:

Emma has 16 GB of data storage space available on her computer.
Approximately how many files of average size 7.2 MB can she store?
(A) 450
(B) 461
(C) 2222
(D) 2275

I did the exact same, I divided 16384MB by 7.2MB and got the right answer which was D.

Am I wrong or is this trial question wrong?

Thanks

Hey! Seems like they got the answers wrong to me

[RuiAce]

Hi!
I need to ask a question from a particular trial paper:

How many files of average size 1.5 MB can be stored on a 16 GB USB drive?
(A) 11
(B) 24
(C) 10 923
(D) 24 576

What i did was convert 16 GB to MB (16384MB) then i divided 16384 by 1.5 MB and got 10 922.66667, so I put C. I checked the answers to see if I got it right but the answers said it was D. They multiplied 16384 by 1.5 to get 24 576.

I tried to find a similar question to it and I did. This was from the 2014 HSC Specimen Paper:

Emma has 16 GB of data storage space available on her computer.
Approximately how many files of average size 7.2 MB can she store?
(A) 450
(B) 461
(C) 2222
(D) 2275

I did the exact same, I divided 16384MB by 7.2MB and got the right answer which was D.

Am I wrong or is this trial question wrong?

Thanks

Yeah, agree with Jess. That is one critically bad question

[Juliesokha]

Where can I have access to some trail papers?! Thank you

[Natasha.97]

Where can I have access to some trail papers?! Thank you

THSC

[Juliesokha]

THSC

You're too quick! <3 Thank youu

[sarahhamilton]

What is the method of study for maths when I've done heaps of past papers?

[jamonwindeyer]

What is the method of study for maths when I've done heaps of past papers?

How did you go in those Trial papers? Did you go back and re-attempt any questions you got wrong? That would the first thing I'd recommend

[Savas_P]

What is the method of study for maths when I've done heaps of past papers?

if you have done heaps, I assume you are getting them right, sounds like your ready for the exam!