FRACTAL

What is a fractal? Generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"

We have not yet learned much about fractals but what they can look like, and how to make one.

An example of a fractal can be like this…

An example of one you can make would be as follows...

The blue would be your first box. Then you would make the purple ones which are a reduced size of the first. Then you'd make the green boxes which would be a reduced size of the purple. This can almost go on for infinity, however the size will eventually get to small to be significant or too small to see. We would eventually have to stop because of that factor.

The next scribe is Carmel

so in class today we went over some of last nights homework, and some of the homework on periodic functions a couple days before we learned sequences. the unit periodic functions, well lets say I'm the brightest in that unit. i still don't get the whole concept. so I'm going to try and explain how to answer one of the questions we did for homework.

EXAMPLE

Jud was working with a sinusoidal data, but lost all of it except for two points. A maximum point was (3, 13) and a minimum point next to it was (7, 1). Write a sinusoidal equation that matches Jud's data.

This is the sine formula

f(x) = AsinB( x - C ) + D

What does this formula mean?

"check Lamael's most recent post to find out what it means"

To help you write a sinusoidal equation, the best way is to draw what information that has been given to you.

In this question the maximum point is (3,13) and the minimum is (7,1)

what does this mean? remember in grade like 9, when the the first number would tell us the point on the X- axis and the second would be on the Y -axis? well this is exactly that.

this is how your drawing should look like.

After your done that, you figure out what the sinusoidal axis is. Sinusoidal axis equals the average and that average equals out to be your D in the sine formula.

the sinusoidal axis usually lays on the y -axis creating a straight line in between the minimum and maximum point.

In this case the minimum point is 1 and the maximum is 13. Add those two numbers up and divide by 2 and you get the sinusoidal axis which is equal to 7.

So now we got the sinusoidal axis. having that we can figure out the amplitude or A in the sine formula. The amplitude is the distance from sinusoidal axis to a maximum or minimum point.

In this case, we would subtract our sinusoidal axis from a minimum or maximum point. Here, our sinusoidal axis is 7 so we subtract that from our maximum which is 13 and get a difference of 6 which is equal to our A in our sine formula.

This is how our graph looks like now.

Why does the graph look like this your wondering? remember were dealing with periodic things, so it always goes up and down at a steady pace. like a bug on a wheel.

where did the 11 come from? well on the x - axis the points are going up by 4 so you add another 4 to 7 and you get 11.

the two variables were missing now is B and C.

Lets find B. B in our sine formula is NOT the period it determines the period according to this formula.

PERIOD = 2Pi/B OR B = 2Pi/PERIOD

The period is the difference between two maximum points. In this graph the maximum points are always at 13. At point 3 on the X - Axis the graph is at its maximum point and as you keep going down the line on the X - axis to find the next maximum point you find it to be 11. The difference between 3 and 11 is 8. So our period is 8. we then plug our period into our period formula to figure out what the variable B is.

B = 2Pi/PERIOD

Then.. B= 2Pi/8

Reduced.. B = Pi/4

The last variable were missing is C. C is called the phase shift, or horizontal shift on the graph. in this case, there was no horizontal shift so we leave C as 1.

So our sinusoidal equation looks like this..

f(x) = AsinB( x - C ) + D

f(x) = 6sin(Pi/4(x-1)) + 7

Hopefully my scribe has helped some people. Doing this scribe has helped me understand the unit a little better.

PERIODIC FUNCTIONS TEST TMRW! STUDY STUDY STUDY!!!

next scribe is..
Amanda

May 26th's and Today's Notes

As of the notes of Periodic Functions on May 26, we have learned and relearned of clarifying the amplitude, the period, and the phase shift.

To identify the amplitude, simply clarify the difference between the sinusodial axis and the maximum or mininum.

A period is determined through of the fraction 2(pi)/b. The parameter itself can be identified by switching 'b' with the period shown.









Parameter C is the phase shift. The phase shift moves the graph either left or right on the sinusodial axis, it is normally subtracted from x. The phase shift is identified as either a whole number or pi/c if the starting point value is less than a whole number.

We were also taught of the cosine function. But it bears a very close resemblence to the Sine function, so we'll only be learning of the Sine function this year. The difference from the Sine function is that it's starting point is pi/2 units apart.












For today's notes, we learn of Sequences, a list of numbers that follow a certain pattern. We learn of two types of Sequences, Recursive and Implicit. A recursive sequence, is a list of numbers generated by continuously adding the difference to the first term. Such an equation would be y= 3 ( n - 1 ) + 4, the 3 would be identified as the difference. Take note that n would be rank. An implicit sequence is basically a list of numbers generated by a linear equation. More or less y = 3 n + 1. The difference in an linear equation would be the slope.

With that said, this scribe will now bid you adieu. As he is sleep deprived, the next scribe will be Don. Please, the person that is to take care of the scribe list, please update it regularly. This is also for anyone next year as well. If, the scribe list is used again.

Transformation of the Sine function

Today in class, we learned what each parameter in the sine function does.

This is what a sine function formula looks like:



but.. what does the formula mean?

Let's start with Parameter D:

Parameter D shifts the graph up and down
- a (+) value shifts the graph upwards by
x number of units
- a (-) value shifts the graph downwards

so..if D = 2, the graph shifts up 2 units
if D = -2, it shifts down 2 units




Parameter A:


Parameter A controls the amplitude of
the graph

* The amplitude gets higher when the value of
gets bigger. A negative value will flip the wave
upside down, but the height of the wave does
not change.

Example:



-the black wave is what a basic
function looks like
- the blue wave represents the function with
a negative A value (A=-2)
-the red wave represents the function with a
positive A value (A= 2)

Parameter B:



Parameter controls the width of the
graph. It also multiplies the copy of
the wave.

normal sine function : period = 2π
so...B= 2 is the same as 2π/2 or π
* the value of B becomes divides the
normal sine function.

Example :



- black wave : sin(X)
- red wave : sin (2X)
Parameter C:



Parameter C shifts the graph
left and right
- a (+) value shifts the graph
to the left by x number of
units.
- a (-) value shifts the graph
to the right.

Example:


- black wave - represents the basic
sine function
- red wave - represents a positive C
value ( C=2)
- blue wave - represents a negative C
value (C= -2)

That's it for today's blog. I hope it helped you guys understand the today's topic.

The next blogger will be... Roe.

STUDY.STUDY.STUDY.

Hey guys we have a test tomorrow so make sure you study, study, study :)

Today we learned that that net worth = assets-liabilities.
Assets is money you have or things of value that you own. There are three kinds of assets:
Liquid Assets: Money you can access easily (cash amounts)
Semi-Liquid Assets: Longer term investments (stocks, mutual funds, or some real estate)
Non-Liquid Assets: Material goods (cars, houses) you have to sell it to make money.
Liabilities is amounts of money that you owe. There are two kinds:
Short Term Debts: Must be paid in the next twelve months.
Long Term Debt: Payments that will take more than a year (mortage).

We also learned today that the Debt/Equity Ratio = (Total Liabilities - Mortage) / Net Worth

You want the outcome of the Debt/Equity Ratio to never be bigger than .5 or 50%. If it is even half a percent higher you will have a hard time finding a bank if you can that will give you a loan. But not is all lost, if it is larger than 50% you may try to get a lower loan, find the money in some bond or somewhere else, take a smaller loan then get another after, or even pay off another debtin order to get that percent 50 or lower.

There a few really good examples of this in the slides Mr.K has put up, so if you feel you need more feel free to also look there.

Wish everyone luck on tomorrows test :) and the next scribe is...Lamael

Personal Finance... YEA!

Alright, let's get this started with a concept I was stumbling with for a bit. I could not, for the life of me, understand why the formula for the feasible financial capital percentage one should consider when purchasing a home. For your information, the absolute maximum feasible percentage of one's income that should go towards their home is 32%. Here's a couple things to remember.

It's called the GDSR, and it's composed of a number of things. You've got your Monthly Mortgage Payment, your Monthly Property Tax Payment, your Monthly Heating Bill, and half of your Condo/Strata Fees. Now you lump that all together into one great big chunk and you divide it by your Monthly Income. The number that is generated will be a decimal, in theory. Technically, if you were using this formula on a house WAY out of your range, you'd get a whole number. Or, over 100% of your monthly income would be going to your house. 
That's right! The decimal you receive is a percentage! And that is the percentage of your income that is going to your house. You want that to be under 32. The formula looks like this:

Perhaps you are thinking, "That's all well and good, but what if I'm missing a variable, smart-guy!? Maybe I don't know my monthly mortgage payment, JERK!" Well fear not my fine, feathered friend. If you find 32% of your income, and subtract from it what you DO know, your answer will be what remains of your 32% income, or, what you have at your disposal for whatever variables you are missing. For example:

If I have $1000 a month for housing, my feasible income percentage will be $320. Let's say it's a house, BOO-YEA, no condo/strata fees. Heating is %40 a month, property taxes are $60. BEAR WITH ME.... $40+$60 is $100, Therefor... $320 - $100 = $220. I have $220 to spend on housing per month.

The other thing we covered today was the pros and cons of home ownership. For more information contact your local "Personal Finance" tagged slide... uh..(s)... Slides.

Thursday's Notes, DEV Project Tip

For the notes on thursday, May 14, we were reminded of how to calculate our GDSR. Or otherwise, our Gross Debt Service Ratio. Our GDSR will not allow more than 32% of our income to be spent or else you want to spend your time bored and hungry. Your Gross Debt Service is calculated by summing the monthy mortgage payment, the monthly property tax, monthly heating costs, and half of your condo fees if you're living in a condo. The sum of this will be divided by your Gross Monthly Income (this includes people who are living with you, unless they are minors).

The formula will be shown here.





In order to find out how much you can afford each month (the monthly mortgage), multiply your GMI by 32% and subtract the sum of the monthly payments with the product of the GMI and GDSR.

With this, we've found the monthly mortgage for this

Once finding the monthly mortgage, we can find the Maximum Mortgage Payment of an individual or a group of individuals. To calculate this we input this into the TvM Solver, the payment periods are set to monthly while the interest compounding periods are set to semi-annually. Once we find the principle value or PV, we simply add it to the down-payment to get our MMP.

Example:













There are additional costs to buying a house though.

1. Appraisal fees
2. Inspection costs
3. Property Survey
4 Insurance costs for high ratio mortgages
5. Home insurance
6. Land transfer tax
7. Interest adjustments
8. Prepaid property taxes and utilies
9. Legal fees
10. Sales tax
11. Moving expenses
12. Services cgarges
13. Immediate repairs
14. Appliances
15. Decorating cost

To find the additional costs, clarify all of the costs and sum them.

A reminder tip for the DEV project.

If you're using slides, do not turn them into power point projects. Always use short, attractive bursts of information with a large amount of images to support said information. Sometimes even an image itself is good enough to bring out what you want to say. Don't be afraid to use a lot of slides.


...the next scribe is Daniel as I didn't see his post. If he isn't there Amanda is next. If she isn't there, Camilla's next.

May 12th on the 13th

Well I made a post last night.... but it didn't seem to publish. I was having a hard time publishing it.. kept getting an error message and eventually it said it posted... but apparently not. Anyways... lets see how close I can get to the previous post that never made it up.

Well we continued to use the same program through APPS then into Finance.

We also talked about Depreciation value.
Depreciation is the amount of value a thing loses. The depreciation Rate is how much value it loses per time period. weather it be week... month or maybe year.

An example would be if a car lost 10% of its value every year... and lets just say the car was worth $10,000.00, after one year the car would be worth $90,000.00. Now this is the part you have to remember. when it comes to the price after the second year, you cant just take 20% off of the initial price ($100,000). you have to take 10% off of the value at the end of the 1st year (the $90,000.00).
There are two ways of doing this... you can either make a chart that looks like ..
Year initial value End of year
1 $10,000 $90,000
2 $ 90,000 $81,000
3 and so on...........
OR,,,
you can use the formula I(r)^n
I=initial amount
r= depreciation rate
n=number of years (or whatever the time period is at which the depreciation value is based upon)

WE ALSO:
we also looked deeper into leasing. We discussed how when u lease a car... you are only paying for the part of the car u are using because at the end of your lease... u have to give back the car. Now when you give it back, it is not worth as much as it was when you first got it.

Leasing a car is like asking for a bite of food. You still get to taste it.... but you don't get the whole thing. You enjoy your piece, then give the rest back.

As I was saying before, the depreciation is the value of the car that you have used up.. and the value that u give back to the dealer is called the residual value.

Since you use up the depreciated value, you have to pay sales tax on that part. You do not however have to pay taxes on the residual value.

Much like today, we went over some of the Pros and Cons to both leasing and Buying.
Leasing a vehicle is good for someone who can only afford small monthly payments, who doesn't want to worry about dealing with trading in or selling a vehicle when they no longer want it or who likes to change vehicles often.
Buying a vehicle on the other hand is good for someone who can afford to outright buy a car, who used a vehicle allot (travels long distances, across town commute etc.) or who likes to make customizations to their vehicle.

That is about all the things we went over....
I already chose the scribe for today but i will just put it up anyways for record sake ( Eugene )
I apologize again for not posting it last night... i really thought it was up.

Leasing

Hey everyone! Today in math class, we learned about leasing. We started the day with the usual 'going over the homework' and then Mr. K put us right into the lesson on leasing.
From what I understand, leasing is when someone is giving another person either land, property, car, etc. to another person for a certain amount of time. Its like a rental agreement that can last for years. What also happens is that people who are leasing, have to make monthly payments for
•'depreciation'
•'sales tax' to that depreciation
• and 'interest on the unpaid value' of the item that is being used.
Depreciation means that there is a reduction of value in that item as time passes by. For example, the more you wear a brand new pair of jeans and as time goes by, the jeans start to fade out, decreasing the value of the jeans.
Sales tax is the tax that has to be paid for a section of that item that is being used. For example, a car that you decided to lease for three years, you only pay a portion for the car because you only use it for a certain amount of time and then you have to give the car back. During the time you have the car, you are paying taxes for the portion that you used.

Interest is when you pay at a particular rate for what you are leasing

When you are done leasing the item, You would either return it to the person that loaned you the item or you can buy the item. What this is called is 'Residual Value'. It's the amount (cost) of the being sold.


Mr. K also showed us a way to see how depreciation works with the calculator.
Ex. A car depreciates 20% per year. What is it worth in 5 years?

This is what it would look like on the calculator

What we did was you take 100% and subtract 20% from it, giving you 80%
Then we did 100*0.80 which equaled to 80.
What you would do next is you have to press on the multiplication button on your calculator and then it what would pop up is Ans* and then you punch in 0.80.
Press enter 4 more times to give you how much it would be worth in 5 years.
The car is worth 32.768 in five years.


The next scribe will be, K_Hannah (:

scribe post Friday May 8

Sorry for the late scribe post...


Scribe post May 8/09

Today we opened up the class by seeing a pink smart car with hello kitty on it, it was cute... in a "i would never do way" but cute.

We learned how to see how much of your savings and what interest you will have after a certain amount of months, years so on.

in the case that Mr K had given us the payments where made quarterly so for instance with the example he had given us..i had broke it down on the image below...


The next question we worked on showed us how to not only to find the monthly payment but to also find out the complete interest you received and how much it would be to pay it off..

a monthly payment of $8250 loan with a interest rate of 8.5% compounded monthly...If the loan is repaired in 2 years (24 months)

to determined the monthly payment we go to are tvm solver on our calculator under finance and fill it out like this...

the pmt (payment) amount was -376.52 because you are taking it FROM your money to pay it off.

To determine the total cost of Repaying the loan would be 376.52* 24
---24-- because of the 24 month payment

= 9036.48

You take that amount and subtract the principle value, so the value you started with .

9036.48-8250= $786.48


Sorry again for the late scribe post if anything is wrong with this scribe please comment so i can fix it!
thank you see you Monday!

next scribe is...Alvina!
(if Alvina had done it already then .....Katie!)

Credit Card Interest Rates

Hi guys..We've just discussed about our assignment and it was really interesting. We also discussed about Credit Cards and Interest Rates. There are 2 types of interest rate:

Nominal Interest Rate is the interest that the bank given.
For example: If the bank has 5% interest rate in semi-annually, the Nominal Interest Rate would be 10%. It will be 10% percent because semi-annually is half a year and annually get charged. Like:

05%(2) =10% (2) - represent a 1/2 year


and Effective Interest Rate is the rate that you actually charge on an annually basis and or paying interest on interest each compounding period.

For example: If the bank has 5% interest rate in semi-annually, the Effective Interest Rate would be 10.25%.

Here are the Solution to get the Effective Interest Rate:

Effective Interest Rate = ( 1 + i / m ) ^m -1
Effective Interest Rate = ( 1 + 0.10 / 2 ) ^2 -1

Effective Interest Rate = ( 1 + 0.05 ) ^2 -1
Effective Interest Rate = ( 1 + 0.05 ) ^2 -1
Effective Interest Rate = ( 1.05 ) ^2 -1
Effective Interest Rate = 1.1025 -1
Effective Interest Rate = 0.1025
or = 10.25%


NOTE :
m - is the number of compounding period like:
Monthly (12), Quarterly (4), Semi-annually (2) and Weekly (52)

i - is the Nominal Interest Rate.


! This website might give you some great ideas about Interest Rates and solution to your questions:

http://www.investopedia.com/terms/e/effectiveinterest.asp and or
http://freeonlinecalculator.net/calculators/financial/effective-interest-rate.php

In addition to, we also discussed about the "Rule of 72". The "Rule of 72" is a simplified way to determine how long an investment to take double, given a fixed annual rate of interest.

Formula of "Rule of 72" is:

Years = 72 / ( Interest Rate % )

Rate = 72 / Years

! Here some website might help you to solve and understand more about "Rule of 72".

http://www.investopedia.com/ask/answers/04/040104.asp and or

http://www.moneychimp.com/features/rule72.htm

If you have questions and complains to my post, i really appreciate to send me a comment.

Next Scribe is Chelsea.!!.

Compound Interest

Today, we learned how to calculate Compound Interest problems.

Compound Interest
is a system which adds the accumulated interest to the principal, such that the interest earned is based on that adjusted principal.

Here's the formula for calculating Compound Interest and what it means.





A = final amount at the end of the term
P = principle amount
1 = preserves original investment
r = rate in decimal number
n = number of times compounded
t = time in years

Knowing the formula, we can now calculate Compound Interest.

Here's an example.

Justin decided to invest $1000 for 2 years. The bank told him that the interest rate will be 5.25% and will be compounded semi-annually. How much will Justin end up with after 2 years?

Solution:







TVM (Time Value Money) solver does all the calculation for us. Here's what a TVM solver screen look like.




N = time x number of times compounded
I% = interest rate in %
PV = present value
PMT = payment made to the account
FV = Future Value
P/Y = # of payments per year
C/Y = # of times compounded per year


the next scribe will be....


Jason. :)

Vectors

Soaring, flying, there's no star in heaven that we can't reach, if were trying, were breaking free. [8]

Sorry song stuck in my head just watched HSM again. Haha, so anyways, here is my blog after a 2 day rest, I already forgot what I was supposed to talk about even though I did write down notes on what I should scribe on today.

So on May 1st, which was last Friday, I was chosen by Iris (grr, don't like you =P), we had our last class of Vectors. Yipee! But which also means that there will be another test coming up which is on Tuesday. And tomorrow will be our Pre-Test, so everyone be prepared =). And also just a reminder don't forget to post your reflection for the unit Vectors.

Back to my post

So on Friday Mr. K finally finished the unit of Vectors, he also showed us another method aside from the Triangle Method. And it is called the Parallelogram Method, instead of having the vectors go from tip-to-tail. The Parallelogram Method goes from tail-to-tail.

This is how the Parallelogram Method is to be used:
















So anyways instead of 2 vectors being connected, there will be 3 vectors. Thus forming the parallelogram shape, and when you put another vector down the middle, it also forms two triangles. Also a reminder that when you are creating a diagram like this, make sure that the scale respects your diagram.

After that explanation Mr. K solved a problem with us, this problem was kinda confusing for me but it all worked out in the end, here it is:



















There really isn't much to explain any further, so all I gotta say is study hard and prepare for the Vectors test on Tuesday.

Next person I chose is Camilla for scibe! Haha.

April 30, 2009

According to Mr. K the world has been visited by alliens! hahaaaaa =)

back to reality..

Today Mr. K started the class off by introducing us to a new program which he had on his calculator, it is called "TRISOLV2." Providing the program with atleast 3 bits of information, either angles or sides, the TRISOLV2 program can solve the entire triangle. Meaning the program solves the remaining unknown sides or angles.

He then gave us connecting cords for our graphing calculators and he sent the program to some of the students, from there we were to send the program throughout the rest of the class. Once we all had the program on our graphing calculators Mr. K continued on with the lesson.

He first reviewed adding vectors with the class, here is an example..

Find vector A+B

vector A is 6 km east

vector B is 10 km south

These vectors should look as shown below..

1 cm = 1 km

**Remember when using the triangle method the vectors are arranged tip-to-tail.**

The resultant of this vector addition would be the missing vector which connects all the vectors together by creating a triangle (3 sided figure)

1 cm = 1 km

Now to find the length of the resultant vector you can use pythagorean theorem. You can only use pythagorean theorem if one of the angles equals 90 degrees. In this case it does since the vectors go from east straight down to south.

The resultant vector equals 11.66 cm

Next Mr. K gave us another vector addition to solve, we were to use the triangle method aswell. But not just trying to find the length of the resultant vector, Mr. K also showed us how to solve for the angles of the triangle too. Here is the example that he used

Find vector A+B
vector A is 3 m east
vector B is 4 m north

1 cm = 1 m

These vectors should look like this..

The resultant vector is shown in the next image

Using pythagorean theorem as used in the example above, we find the length of the resultant vector as 5 cm.

Since the direction of the vector A goes east and vector B goes straight up to north, a 90 degree angle is created.

So the information that we are given all together would be side-angle-side (3cm-90 degrees-4cm)

Therefore, we must use the tri-function inverse TAN to find angle B

Now that we know that angle B equals 53.1 degress we are now able to use the TRISOLV2 program on our graphing calculator to determine the remaining unknown sides and angles of this triangle! All you have to do is open the TRISOLV2 program enter in the 2 sides and the angle into place as labled on the program. (What I mean is make sure that sides a b and c match whats on the diagram above and also the same goes for angles A B and C) Once you have entered in the known sides and angle press solve and the program should look a little somthing like this.

This tells us that angle A = 36.87 B = 53.13 and C = 90

also side a = 3 b = 4 c = 5

I have explained all that I understood and if you have any inputs please tell moi! =)

I CHOOSE KYLE TO SCRIBE NEXT =P

Well today wasn't the most productive day just because of the fire bell. But still we still did manage to get some work done. First we reviewed homework I myself learned a few new things for example.

The word COLLINEAR which when you break it down CO as in two and LINEAR meaning line

Here is an example of it




Vector AB is collinear to Vector BC, this works
because Vector AB is on the same line as BC.





Another thing I learned is that vectors must have an arrow above them when you write it or else it's not a vector just a line for example





And so forth, without the arrow it's just not a vector



So anyway besides homework review we also reviewed some trigonometry turns out we really need it in this unit. Some important ones included Pythagorean theorem , sin law and cosine law.

We then learned some useful properties of angles for example Opposite angles, and Alternate angles, Corresponding angles



So from what I gathered when two lines cross each other they make 4 angles now if you label two angles say A and B it will look like this






Though i am not sure why we do this but Mr K told me that across from angle A will also be angle A and across from angle B will also be B sort of like this.




That's the rule for opposite angles

Now the next is Alternate angles, now this to I also have trouble with so bear with me



Now from what I understand top left corner A
is equal lower right corner A and vice versa for B






So basically by knowing the alternate angle rules
the top right B angle is 120 degrees and the top left A angle is 60 degrees







And that is how you use the alternate angle rule

Lastly now were going to take a look at corresponding angles which looks like this




Kind of like alternative but your looking at what I guess is angles on the same side. For example this picture (B angles being on the same side and A angles on the same side)



So just like all the other rules each angles are completely the same what I mean by this is





If that is 110 degrees then that must mean the B angle is also 110 degrees and if that is 80 degrees then the A angle must be 80 degrees as well.



And this concludes my scribe sorry if it isn't informative as you all might have hoped it would be but I am still trying to get my head around this whole concept. The next scribe I choose is

IRIS......

Vectors

Freshhh like uhh

So today we started with the new Unit on Vectors so far this is what i understood.

Vector - Distance, Magnitude
Scaler - Distance, Direction

Here are some examples

Examples:



My car weighs 2700 pounds. Scalar has no direction
I drive my car 50 000 km per year. Scalar has no particular direction
Brandon is 2044 km S of Winnipeg. Vector (magnitude = 2044km direction = S)
the wind is 50 kph from the south. Vector (magnitude = 50 kph direction = to the S)

4 Notations

• An arrow indicates magnitude
• tip indicates direction
• Bearings angle is always measured clockwise from the N angle
• always 3 digit number
• Direction of Direction
• Direction Degree Direction

Example

• Bearing 360 - 30 = 330
  
• 60 degress East of South
• 30 degress South of East
• E 30 degress S
• S 60 degress E
  

Next Scribe is Henson

Reflection

I found kind of easy in studying about the statistics. As the topic started it is easy but when it is in the part of were binomial and normal use, it is kind of confusing but very interesting because i learned lots of term in mathematics. It is hard to know but as the subject goes on, it is easy to adapt on it. i find hard in the part were using formula like:

1-binomial(n,p,q) and other terms.

In addition to, I kind of confuse in at least, at most, less than and or more than.

Note: tomorrow is our test. (Thursday, 23th April).

Today's Notes

In today's note, we further our knowledge of Theoretical Binomial Distribution and learning how a mean is developed through Binomial Distribution. TBD is the method of estimating what the percentage of the outcomes would be before doing the experiment itself. On a graph, a TBD histogram would have a symmetrical look whilst the actual experiment has an assymmetrical look.

Example(s):






The method for finding the TBD that uses specific details is the same method as we have done in our Probability unit. Yet there is an easier way using our graphing caluclators. Through the use of the Binomial Probability Distrobution Function we could quickly identify the success chances for each and every outcome. To use it, go into your distribution menu and select binompdf. From there, input number of trials first, then the probability of success. If you wish, you could input an optional command and input the specific outcome, if you're only interested in one outcome. Though binompdf would not be the used if the problem asks for something more (or less).

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In the case that it is not wise to use binompdf we would use binomcdf, or Binomial Cumulative Probability Distribution Function. To use it, binomcdf is right beneath binompdf. From there, it would be the same as we have done for binompdf. Except, that we add in the third value "- 1". We subtract 1 from the third option as it would add in an undesired value into the calculation. Binomcdf works similiarly like the invNorm function, so it would be wise to subtract from 1 sometimes.

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In addition to all of this, we have learned how the Binomial Distribution affects the mean. Each time the number of trials are increased (or decreased), the mean will always hop to different number, albeit it that looks the same. Though with each additional trials, a histogram would start to look like a Normal Curve. By increasing or decreasing the probability of success, the mean would also hop to a different number, moving the histogram horizontally on the scale.

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An example of this would be in this website:
http://www.math.uah.edu/stat/applets/binomialcoinexperiment.xhtml

Done for today, next scribe is Amanda or Eugene.