Wednesday, December 30, 2009

caffeine project

The nicotine portion of the project needs a re-do for everyone that handed it in. I have clarified the questions and willl be posting those soon. If you have an INC for this project, you have handed it in, but it needs work.
clarified questions

Tuesday, December 22, 2009

special Christmas News

I have marked the vector test and posted marks to EDLINE. As a special Christmas present, I am allowing a rewrite of this test. To qualify , students must achieve 100% on the quiz that I have created on EDLINE. It will appear on the calendar every day until Jan 4th and on the right under CONTENTS. You may take the quiz as many times as you want but you must get 100% before Jan 4th. You must also attend a lunch session to correct your test on Jan. 4th at 12:05. The rewrite will happen on Wednesday Jan 6th at 12:05. You MUST write it at that time. Some people have not opted for email messages so spread the word. Try to talk to at least 1 other person in the class.
https://www.edline.net/pages/Dauphin_Regional_CSS/Classes/0910_AMA40S_a/Vector_Quiz

Thursday, December 10, 2009

Adding Vectors

Today is December 10, 2009. It is a chilly -22 Celsius tonight in Dauphin Manitoba. Earlier in the day we learnt how to add vectors, quite simply an easy task to accomplish. We learnt the "tip-to-tail" method and we had a brief discussion about parrelogram vectors. Attached is basically what happened in the class:

I cant copy an example of what we did on to here because it's not working for me, it is straight ridiculous. This is extremely rattling because i cant even add a picture either now. So im giving up on this blog and going to watch letterman. Do numbers 1-4 on page 318 for practice and Tommorow we learn Equilibrant vectors.

Tuesday, December 8, 2009

DEC 7 tut 7-1 vectors

yay the maths version of physics, fun class. anyways basic from what i remember from my time in physics is there is two kinds of vectors:

vector: has direction
scalar:has no direction

basically ; if the qestion says u are going 130km/h and does say anything about goes east west etc the it is a scalar
if the qestion say u are going 130 km/h at a direction heading west then it is a vector

so the line is the magnitude or the total distance, what ever the question is asking. the line must have an arrow head put on it or you will lose marks
NORTH SOUTH EAST WEST, north always is on the top unless told other wise.
there is also another meathod finding direction called bearing and north is 0, east is 090 south is 180, and west is 270. bearing is like a compass but it uses numbers instead of using names.

yay more physis terms
Displacement: how far in what direction; km miles etc
Velocity:how fast in what direction; km/h miles/h
force;how much force in what direction; N or called newtons

scale must a very important thing, should always always be cm = whatever it is

assignment is page 308 3ab, 4cf, 5

DEC 3 tut 6-4

again i missed another post lol, anyways to days we learned about the KOCH SNOWFLAKE yay. we learned a bit more today on how the fractorial thingy ma jiggy works. we worked on the snowflake and filled in tables on the perimeter & on the area.
the perimeter we found the sequences on the # of new sides and the lenght of them, then to find the total area you could have taken "new side x new length" to get the total length. another way to do it is take the "previous total perimeter x {length/side}" and you will find the next total perimeter.

mr bennet also have premade graphs showing us what they would look like when we plugged the values into excel and made a graph.

to find the total area it is the same principle put in the values and find the sequences, get the total area

we also did the Sierpinski Gasket which had the same principle.

i guess a key note is that perimeter graphs increase but area graphs level off over a period of time

DEC 2 class

on dec 2 we had an intro into fractals, it was a very productive class. first we learned the basic principle behind fractals. which is no matter how small it gets it still looks the same so a person could keep on zooming in the pic and it would still have the same look to it. but it also works in the opposite direction also. if you zoom out it will also have the same shape and look to it........

after cutting out a box style fractal we learned a little about the math. as a class we filled out a little chart that showed us how over time the perimiter increases but the area after a few time starts to make no difference in the total area of the fractal

Page number on the text with a little more info is: #276 or tut 6-3

hope it help

Tuesday, December 1, 2009

Sequences

Today we received a hand out and talked about sequences. We went over the whole sheet that consisted of two medium sized questions. The basic settings you should know for this unit and what Mr. Bennet would like to see on YOUR cheat sheet is shown below.
Window settings: (example)

Min: 01 =# of terms
Max: 50 = "

plot: 1 = ( Ignore )
plot step: 1

Xmin: 01 =same as above # of terms
Xmax: 50 = "

Xscl: 01 -----> ALWAYS 1

Ymin: =actual values in the sequence
Ymax: = "

An example of one of the questions that we did together in class is shown below.
2. Jasmine broke her collarbone in a bicycle accident. Her doctor's prescription contains the following information:

Each pill contains 240mg of medicine
Jasmine must take two pills every 12 hours. This represents one dose.
She must take all 32 Pills as prescribed.

A) If Her kidneys eliminate 60% of the medication from her body every 12 hour. How much of the medication is in Jasmine's system immediately after she takes the 6th dose?
Calcuator buttons: [2nd] [Y=]
min= 1
u(n)= u(n-1) *.40+480
u(nmin)= {240}

Calcuator buttons: [2nd][tblset][6]. [[2nd][graph]
6= 796.72

B) sketch a graph for 16 doses.
Calcuator buttons: [Graph] ( you may have to change your window settings)

C) At what level does the mediation stabilize?
(to find this answer open your graph and arrow down until your u(n) stays the same number as the one before it.)

14 doses=800 stabilization number

d) Assuming that Jasmine take all her medication. How many hours would it take for her kidneys to eliminate the medication after her last dose? ( when its below 1mg its considered eliminated)

to solve you take 8*12=46 hours

e)Jasmine visits a second doctor for a different opinion before she starts the medication he informs her that the stabilization must be between 1000mg and 1200mg to eliminate the pain. describe the schedule for taking the medication if the pill that Jasmine is prescribed contains 240mg of medication and her kidneys eliminate 60% of the medication every 12 hours.
( you would solve this question the same as you would solve the first part except change a few numbers)

The answer is it would take three pills.


We also received two questions for homework that we will go over together in class tomorrow.

Friday, November 27, 2009

Emmas missed days NOV 25 andNOV 26

Arithmatic Sequence: When you adved or subtract

Geometric Sequence:When you multiply or divide

Recursive:next term is based on the previous term

t9=9*?

*You can go on edline to get the graphs or you can make your own
*We also got our project for Sequences called make you own caffeine

then we got to work

NOV 27 Blog-Emma

Today in class we did tutorial 6.2 Modeling Using Sequences.

Time-you always have to start with 0.

Descrete Data-the dots do not connect.

Maintenance level-The amount of the substance iilizesr stabn the blood eventually levels off.
or stabilize

Assignment:pg 270 #1, 4, 5

Tuesday, November 24, 2009

November 24th Blog

Today in class we learned about sequences.
1) Arithmetic Sequence- the sequence where the next term is found by adding/subtracting
2)Geometric Sequence- the sequence where the next term is found by multiplying/dividing

Recursive- the next term is based on the previous term.
t9=t8 x 2

Explicit- the term is defined by it's position(term number)

t9=9 x _?_

t1 t2 t3................ t10
2 4 8 t10=2^10

The Fibonacci Sequence is: 1,1,2,3,5,8,13,. . . .

We also learned how to find sequences on our calculator:

Ex) Week Prize
1 t1 5
2 t2 10
3 t3 20

1)mode--->seq
2)y=
nMin= what the first term is called----->1
u(n)=recursive formula (*always* u(n-1))---------> u(n-1) x 2
u(nMin)=first term (where you start)-------> {5}

So, to find week 52 go to 2nd function window and change the tblstart=52

Monday, November 23, 2009

Sequences(new unit)
This new unit will talk about sequences....(obviously)
Today:
PYRAMID SCHEMES(Illegal)
Pyramid schemes can be made by anybody.Pyramid schemes are inherently injurious to consumers because as a mathematical certainty, they are doomed to collapse. As in the case of chain letters that require a payment, only the people at the very top make any money.


EX> 6
36
216
1,296......ect
Pyramid schemes exploit people. This with limited knowledge of business such as individuals who have little experience in direct sales.
Why would anyone join a pyramid scheme?
They are sold to people that are assured that they are absolutely legal...(THEY ARE NOT NOT NOT LEGAL)
These people expect money to come in later down the line or any sort of promised prize and they do not receive it. These people that start these are con artists.
EX...
Dear investor:
You will be a millionaire....!!!! send 20 dollars to me with this letter.I will send it out to 6 people who will send it to six others and so on. for every person sent to you will receive 5 dollars. this is how it will work:::
round letters sent responses total people
1 200 12 200
2 2400 144 2600
3 28800 1728 31400
4 345600 20736 377000
5 4147200 248832 4524200
6 49766400 2985984 54290600 $14,929,920.00
7 597196800 35831808 651487400
8 7166361600 429981696 7817849000
This here is how it would work out if 6% of the people responded to the letters.

some times these are really bad schemes and the people do not send out any money and they take 100% of the profit this is what happens in most cases..




























































Thursday, November 19, 2009

today we went over examples 2 and 3 in our design & measurement booklet.
area is always m2 and volume is always m3.

in this example (ex. 3 from our booklets) its showing us how to find the surface area of a cylinder and the slant of the cone and the slant area of the cone.

Wednesday, November 18, 2009

Tuesday Nov 18

Today in class we got our new unit hand-out Design & measurements pretty straight forward stuff we need to be able to figure out in life. In otherwords useful math. Here we have an example of what can go wrong if you don't want to pay attention in math class.

Saturday, November 14, 2009

A tad Tardy

TUESDAY NOVEMBER 10TH!!

Started the ol' class of with a hand in sheet that already has the answers on them. So that you can see the answer and see if you're doing it correctly.

We then took a gander at Remax and Action Realty websites to calculate the mortgages on homes around Dauphin.

DEFINITIONS

AMORTIZATION- amount of time required to pay off the loan

TERM- Length of the contract.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


THURSDAY NOVEMBER 12TH

Not much happened on Thursday. We looked over a mortgage tutorial sheet for a while and then the rest of the class was simply a work period.


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


FRIDAY NOVEMBER 13TH


Started the class of with Tutorial 4-6. We then received 2 Hand outs that will not be due, only for the purpose of practicing .

Then we cracked the ol' text book to page 191 on Renting and Buying.

Finished it off with the analysis of Renting or Buying a home.

Monday, November 9, 2009

Perchasing Vs. Leasing a automobile

Today in class we learned how to use the "perchasing vs. leasing an automobile" spreadsheet.
We also were given the assigment on the entire unit so far. We had to write 3 things we have learned so far, 1 thing we still need to learn, and somthing we already know abut our upcomming lession on mortgages and renting or buying. We were given an assigment in the text book on page 178, questions 1-3 and 5-8. The questions involve using our TVM solvers or the provided spreadsheets on edline. Here is an example question:

Elvin sees an advertisment for a car he is interested in leasing. Its purchase price is $ 16 750. The monthly lease cost $ 229 plus taxes, fr 48 months. The finance rate is 3.7%, compounded monthly. Elvin wants to know the perchase price of the car at the end of the lease, but this infromation is not given. Calculate the approximate purchase option price.

Using the TVM solver:
N= 48
I%=3.7
PV=16750
PMT=-229
Fv=0 Answer =-$7553.491841
P/Y=12
C/Y=12


Friday, November 6, 2009

To buy or to lease

Today we learned about leasing a car from a dealership. If a car is worth 30 000 and you lease it for 4 years, at the end of the 4 years the residual or lease end value of the car will be worth 10 000. At the end of the 4 years you could return the car back to the dealership or you could buy the car for the residual or lease end value.

****LEASES MUST USE "BEGIN" ON TVM SOLVER****

Homework is pg 178 #1,3,7 or 8

Thursday, November 5, 2009

Work Period


Today was a work period for some Net Worth Assignments/ Test Prep/ Other Work.
Needless to say we were all model students toward the sub, because Shawn was the Teach. Also needless to say, he got a little power hungry and things went a little upside down. luckily i was there to apprehend him.
Since he is basically 0% muscle, it was a powerless fight and I sub dued him.
Also he admitted to not being a good, soccer , hockey and squash player.
~~Attached is a picture of Shawn after he was sub-dued.~~

INVESTMENT PORTFOLIOS



So Yesterday in class we learnt about investment portfolios. This is basically the notes I took in class.
Safe<-------------------->Risky
low rate High rate
1-4% 5-30%
Cash-safe-low return
fixed income- somewhat safe- low return- not as liquid
Equity-growth-risky-higher returns
eg.stocks,mutual funds
Steps to find efective Rate (tvm solver)
1) enter N=1 I%=rate PV=-1 PMT=0 P/Y=1 C/Y=comp. period
2)Solve for FV
3) Change comp/year=1
4) Solve for new I%
Steps for Average Rate of Return
1)Calc. individual returns
2)Determine total return
3)N=1 PV=total invested PMT=0 FV= Total invested+interest P/Y=1 C/Y=1
4)Solve for I%
I also Posted a Picture of The Eastern Confrence Standings as of today for all the leafs fans in the class.






Tuesday, November 3, 2009

work period

No blog today. Work period page 163 # 1, 3, 4, 5
Answer keys in booklet handed out yesterday.

Monday, November 2, 2009

RRSP

Alright so seeing as how i mistakenly forgot to do the blog during my busy day last week i guess im doing it today.

On the day of Monday November 2/09 at approximately 2:30 pm we started learning about RRSP's. RRSP stands for Registered Retirement Savings Plan. Things you can invest in RRSP's include stocks, mutual funds, GIC's (guaranteed invesment certificates), Bonds, Canada Savings Bonds, Gold, and money market funds. Here is a couple of examples we did in class.


If John contributes (say $4000) to an RRSP he can reduce his taxable
income.
1 This means that instead of
paying tax on $40000, he
would pay tax on how
much?

$40000
- 4000
----------
$36000

Now instead of paying $8000 in tax, he pays less
tax, say $6000. He just saved himself $2000 in
tax. His new net pay is $36,000


1 So John invested $4000,
but it only really cost him
how much?

Cost $4000 Thousand
Saved $2000 Taxes
-----------------------
$2000

Friday, October 30, 2009

Tut 3-1 part II

We decided that today was a no - blog day. (for a couple of reasons) One being that Shawn said he would blog but did not. SO now he has to do 2 days in a row. He can do Monday's lesson on RRSP's. Thanks Shawn!!!

Wednesday, October 28, 2009

Personal Finance - Oct. 28th


Today's class was a continuation of the subject Personal Finance! Yay! (haha)


We learnt the following: :)


TSX: Toronto Stock Exchange

TVM: Time Value Of Money


-You can access the Financial part of your graphing calculator by prressing "2nd function" then "x-1"(finance) on a regular TI-83 graphing calculator. We were then introduced to the following terms:


N= Total # of payments I%= Annual Interest rate as a percent

PV= Present Value PMT= Payment each period

FV= Future Value P/Y= # of Payments a Year

C/Y= # of Compounding periods a Year


Annual= 1 time a year

Semi-Annual= 2 times a year or every 6 months

Quarterly= 4 times a year or every 3 months

Monthly= 12 times a year or every month

Daily= 365 times a year or everyday


~Rule Of 72= Time for your interest to double.

Ex: At 8%, 72/8 = 9. meaning it will take 9 years for your money to double.


*After going over a few examples and practice questions, we were then assigned to try

Tutorial # 4.1, Page.152, # 2,6.*
*~Desiree Rantala


free cars

who wants free cars?
http://www.daveramsey.com/etc/lms/drive_free/player.cfm

Thursday, October 22, 2009

Gaining confidince

The main rule for todays class on confidince intervals is the 95% confidince interval and margin of error. To find the confidince interval first you must find meu (average) and the standerd divation ( the square root of n*p*(1-p)). To find 95% interval times the standerd divation by 1.96 and add and minus it from the average. The margen of error is what you add or minus from the average to get the 95% interval. To find the percent margen of error just find the pecent with with the margen of error.

Tuesday, October 20, 2009

Tutorial 3.5

Today we learned how to do a Normal Approximation To A Binomial Distribution.
If npq is bigger than 10 we use Shade Norm of Invert Norm for a binomial distribution.
If npq is less than 10 we use binompdf.
n= number of trials p= probability of success q= probability of failure

STEPS:
1) find npq
2) check if npq is greater than 10
(if yes) (if no)
3) find mean 3) binompdf (n,p) store in L2
4) calc. z scores 4) fill down L1
5) shade Norm 5) answer question

Monday, October 19, 2009

SHADE NORM / INVERT NORM

Reena LeGall has signed in

Invert norm: find raw score, mean or standard deviation.
given % ------> Z-score

Opposite to Shade norm (shade norm finds the %)
Given Z - score ------> %

invert norm (0.84) = 84% -----> Z = .99
.99 is the Z score that cuts off the bottom 84%
Invert norm gives the Z score that gives % to the left of the Z score.

**** ASK % or PROBABILITY = SHADE NORM****
**** GIVES YOU % ASKING RAW SCORE = INVERT NORM****

Reena LeGall has signed out

Friday, October 16, 2009

Thursday, October 15, 2009

Standard Normal Distribution


Today in class we learned how to find "z-scores", and how normal distribution can be used in every problem for any data.
Z-scores represent how far or below the average.
To calculate a z-score, subtract the mean from the given value, x, then divide by the standard deviation.

To find a solution to a z-score problem, follow these steps:
1) Find the z-scores
2) Set the window on your calculator
3)Find the Shadenorm
4)Find the percentage

The window on your calculator for z-scores should be:
xmin:-5
xmax:5
xscl:1
ymin:-2
ymax:.5
yscl:.1
xres:1

Tut 3.3 Normal Distribution

The bell shaped curve is the graph of a normal distribution.



Every normal distribution is identified by its mean, and its standard deviation.
<--WE NEED TO KNOW!

68-95-99 rule:


  • 68% of the data are within 1 standard deviation of the mean

  • 95% of the data are within 2 standard deviation of the mean

  • 99.7% of the data are within 3 standard deviations of the mean

The name of the part that strikes the bell is called a clapper.

Wednesday, October 14, 2009

tut 3-3 notes


here are today's notes. Justin will post

Tuesday, October 13, 2009

October 9th AND October 13th



The 40S Applied Math Class Blog for Oct.9th AND Oct 13th.
<-- This is an example of Standard Deviation.




PDF: Probability Distribution Frequency


Standard Deviation: a numerical measurement of a set of datas variability.


High standard deviation means that the set of data is spread out, where a low standard deviation means that the data is close together.





On Friday, we ewre given a worksheet that helped us explain the difference between a sigma and a sample. If you are finding the SD of a population then you would use sigma, as opposed to using a sample when estimating the "sample" of a population. We were also given 2 other worksheets, 1 which we were to hand in. The worksheet that was to be handed in was called Understanding Standard Deviation, and the other was an introduction to mean, median, & Standard Deviation.





Today, we were reminded about finishing our "Understanding Standard Deviation" worksheet, which was a excellent way to be introduced to histograms.We then got to pull out our graphing calculations for some more work involving histograms and Standard Deviation. After that, we were introduced into a VERY IMPORTANT formula. it is called the NPQ formula and it is displayed as follows: -Mean = np and SD= the square root of (np x (1-q)


p = the probability of success, q = the probability of failure, and n = the # of trials.

To end this FABULOUS day, we were given an assignment that is on Pg. 108 # 1-6, 8-9 in our 40S Applied Math Textbook. Following this were 2 more sheets, Extra NPQ questions to help us understand the concept better, and a HAND-IN sheet about everything we have learned so far in this unit.

* If you have any questions, check out the blog, listen to the podcasts on edline, or ask ask ask!!*

Friday, October 9, 2009

Applied Math 40S – Stats Outcomes

These are the specific outcomes of this unit. (i.e. you need to be able to do all this by the end of the unit)

Tut 3-1 – Binomial Distributions

  • Difference between mean, median , mode – how to calculate from data list and frequency table
  • Determine a binomial distribution using binompdf command. Interpret results
  • Identify a binomial and uniform distribution

Tut 3- 2 Standard Deviations

  • Understand what standard deviation refers to
  • Calculate mean and standard deviation of a binomial distribution

         and

  • Interpret standard deviation (i.e what does it mean in that situation?)

Tut 3-3 Normal Distribution

  • Properties of normal distribution – classify a distribution as normal or not
    • 68 – 95 – 99 rule
  • Problems with a normal distribution (e.g Cadbury egg type problems)


     

Tut 3-4 Standard Normal Distribution

  • Properties of standard normal distribution
  • Calculate z-scores ( ) and interpret results (comparing data like SAT scores)
  • Use ShadeNorm and InvNorm
  • Problems with Standard Normal Distribution

Tut 3 -5 Normal Approximation to Binomial Distribution

  • rule
  • Solve binomial distributions questions with a normal approximation

Tut 3-6 Confidence Intervals

  • Calculate 90 , 95 or 99 % confidence intervals
    • Use , , or 1PropZ-Int
  • Interpret a confidence interval (Describe what it means)


     


 


 


 

binomial distribution

Today in class we learned the difference between uniform distribution: all the probabilities are the same, binomial experiment: has success or failure, binomial distribution: results of the experiment.
we went over how to find the binomial distribution.
1. [2nd] [vars] go to binompdf (0)
2. First number= trials [,] second number= probability of success on each trial [enter]
3. [sto->] [2nd] [2] to get L2 [stat] [enter]
4. [2nd] [y=] [enter] turn on the first graph, make sure you select a histogram graph, make frequency L2
5. [window] change window to what you need for that particular graph [graph]
** note : look over pages 98-102 and page 349 **
the following MUST BE TRUE to make it a binomial distribution:
1. The experiment consists of n identical trials
2. Each trial results in one of two outcomes: the outcomes are often called a "success" (S) and a failure (F)
3. Probability of a success on a single trial is equal to P and remains the same from trial to trial. The probability of a failure is Q=1-P
4. The trials are independent.
5. The random variable of interest is Y, the number of successes observed during n trials.

Wednesday, October 7, 2009

Mean, Median and mode

Today in our Applied Math class room we started our new unit. Stats & Variability was the topic that we went over. We started the class off by reviewing what the mean, median and mode meant and how to solve for them. Also we looked at a frequency list used for larger amounts of data.
_
To calculate for the MEAN( X ) we learned the following example:
34 40 36
36 38 38
32 36 36
42 34 44
In order to find the mean you add up the table above, and divide by how many numbers there are in the chart above. ex. 446/12=37.17

~
To calculate for the MEDIAN( X ) we learned the following:
Median means middle number, If the number of terms given is even then find the middle of the two given terms.
^
To calculate for the MODE( X ) we learned:
Mode means most common number. If a number appears more then once there is your answer. To figure out on the calculator if you are given a more challenging question then the steps you take are listed below.
[stat] [edit or 1] [enter your numbers into the chart and delete any unwanted 0's or numbers] [2nd] [quit]. [stat] [--> or calc] [1 or 1-var stats] [2nd] [1] [enter] [ the down arrow changes your terms]

NEVER use the 2-Var Stats button under stat/ calc

Matricies WYNK - What You Need to Know


This is the WYNK for Network and Transition Matrices

Friday, October 2, 2009

work period



So, today we had a work period. We were told that our matrices test is on Tuesday. Today we worked on a handout test review. We also had time to work on our unit project, food web. Yes also I beat Rebecka S. at rock paper scissors.

example question: Wendy drives an old car. if it starts easily today, the probability that it will start easily tomorrow is 0.9. if it does not start easily today, the probability that it will start easily tomorrow is oly 0.85. write the transition matrix for the situation.


also here is the answer for number 4

Thursday, October 1, 2009

click here for the PDF of the notes from today

Network Problems

Today in class we learned how to solve network problems with Matrices. The textbook examples can be found on page 72. The work that was assigned can be found on page 76, numbers 1-6. The example used in the text book was as follows:

y=YellowKnife
I=Inuvik
NW=Norman Wells
RI=Rankin Inlet
W=Whitehorse


Y I NW RI W Y I NW RI W
y 0 1 1 1 1 o 1 1 1 1
I 1 0 1 0 0 = A= 1 0 1 0 0
NW 1 1 0 0 0 1 1 0 0 0
RI 1 0 0 0 0 1 0 0 0 0
W 1 0 0 0 0 1 0 0 0 0

*You can travel directly from Inuvik to Norman Wells, but you have to go through Yellowknife to get from Norman Wells to Rankin Inlet.

*This network can be summerized in a table or matrix. An entry of 1 indicates that direct travel from a given city to another is possible. The entry 0 indicates that direct travel from a given city to another is not possible. The order in which the cities are listed in the matirx does not matter as long as the order is the same vertically and horizontally.

Things that happened

Today things happened. the end.

We learned about initial probability matrix which is called Po and is ALWAYS A ROW MATRIX! These are used to calculate probability over time. In order for them to work we need to make a transition matrix which are always SQUARES. They are represented by the letter T. So the entire class today was about PoT. The forumula is Pn=Po*Tn. We also discused the value of going to the dentist/school.

Tuesday, September 29, 2009

Matrix Multiplication

Yesterday we did matrix multiplication basically this stuff is pretty easy to do. I'm just going to do one of the examples we did in class yesterday because i already did this once but it got erased by accident.


W T L
S=[7 2 4] P=W[2] 7(2)+2(1)+4(0)=16 T=[16]
[ 5 1 7] T [1] 5(2)+1(1)+7(0)=11 [11]
[ 8 0 5] L[0] 8(2)+0(1)+5(0)=16 [16]
[ 4 1 8] 4(2)+1(1)+8(0)=9 [ 9 ]

Monday, September 28, 2009

Press X not to die



In some video games there are "Quick time events" were the player must press the corrcet buttons when they apper on screen. During one of these events the fisrt button will be ether the A,B,X or Y button followed by one of the two trigger buttons then A,B,X, or Y twice afterwards.

If the player is guessing what are their chances of

a)Guessing the correct buttons with knowlage of the order b)Guessing the correct buttons without knowlage of the order

Ansure a)1/128 b)1/1296

Friday, September 25, 2009




Thursday sept,24/09 lesson was on Matrices


so i took the time to paint and i hope it helps some what!! :)
basically we learned all the basics:
the dimensions r figured out by getting the rows and then columns
ex the top left box's dimensions r
x= 3x5 and **when doing this make sure to always put ROWS FIRST**
Element is just 1 of the numbers in the matrix just like i showed the 2 in the top left matrix is just 1 element out of the 15 in the matrix
Ex 1 questions:
B: it asks 4 the dimensions so we count the rows first then we count the columns and we get A=4x3, 4 rows and 3 columns
C: asks 4 the # of elements which is found by just finishing the dimensions part, A=4x3 so the element amount would be 4x3=12, 12 is the amount of elements in the matrix
D: asks us to find what the element is in A42, so we go to row 4 and column 2 and the match is 68
E: asks us what the postions of element 50 is, it is in row 2 and column 3 so answer is A23
Ex 2 add/subtracting:
this just shows us how to add and subtract matrix together
RULE ** Can only add or subtract if they have the same dimensions**
(look to pic 4 more info)
Ex 3 Scalar - single #:
example 3 shows us how to multiply a matrix,
the prices in the matrix are in american and we need to find them out in canadian so we times it by the exchange rate of 1.46 and it gives us the prices we would have to pay in canadian
anyways i think that is all good luck to the rest of u

Wednesday, September 23, 2009

20 things

OK, today was a work period so I decided to add something of "value" since we did not have a blog draw today. Here are 20 Things I'm Glad Life Taught Me.
http://www.dumblittleman.com/2008/02/20-things-im-glad-life-taught-me.html

Math

YESTERDAY, we started thew class off with a little bit of Led Zeppelin, so that was alright.
We then carried on to correct Page 31-32. We talked and learned about the "or" in math questions. and learned the definition to Mutually Exclusive and NOT Mutually Exclusive.

Mutually Exclusive: two things that have nothing to do with each other)do not have common outcomes)

ex: the sum of 5 and the sum of 8

NOT mutually exclusive: They share outcomes

ex: the sum of 8 and doubles

Monday, September 21, 2009

Drunk Driver


Object &Rules: There are 52 cards in the deck. Ace is = to 1. You make a diamond of nine cards facing down. You flip one card from the deck to start the game (head card). If you think the bottom card of the diamond is lower than the head card and you are right you continue to play. The object of the game is to make it to the top of the diamond by guessing higher or lower than the previous card. You only have to guess one card per row and if you guess a 3 and the next card is a 3 you lose. If you guessed lower but the card was higher you lose the game and have to take 3 drinks of "coke" also I should add you have to continue to play game after game until you win. It gets you "a sugar rush" fast if you don't guess right.


My two friends and I did a experimental demonstration of the game this weekend and this is our results.
Game 1 Ashley:
4 Higher 10 Lower 3 Higher 7 Higher J Lower 3 WINNER!
Game 2 Reena:
Q Lower A Higher 8 Lower 4 Higher 2 LOSER!
Game 3 Reena:
K Lower 9 Lower J LOSER!
Game 4 Reena:
A Higher K Lower 8 Lower K LOSER!
Game 5 Reena:
3 Higher k Lower 6 Lower 7 LOSER!
Game 6 Reena:
6 Higher 9 Higher 3 LOSER!
Game 7 Reena:
10 Lower A Higher 7 Lower 2 Higher J Higher Q WINNER!
Game 8 Scott:
4 Higher J Higher 5 LOSER!
Game 9 Scott:
6 Lower 8 LOSER!
Game 10 Scott:
5 Higher 2 LOSER!
Game 11 Scott:
Q Lower 10 Lower 5 Higher 9 Lower 4 Higher 2 LOSER!
Game 12 Scott:
7 Higher J Lower 8 Lower 5 Higher 10 Lower 6 WINNER!
Game 13 Ashley:
4 Higher Q Lower 4 Higher 7 Higher A LOSER!
Game 14 Ashley:
J Lower 9 Lower 2 Higher 3 Higher 10 Lower 3 WINNER!
Game 15 Reena:
6 Higher K Lower Q Lower K LOSER!
Game 16 Reena:
3 Higher 3 LOSER!
Game 17 Reena:
9 Lower 6 Higher K Lower 9 Lower 8 Higher A LOSER!
Game 18 Reena:
A Higher 7 Higher Q Lower A Higher 2 Higher 10 WINNER!
Game 19 Scott:
5 Lower 8 LOSER!
Game 20 Scott:
Q Lower 2 Higher 6 Higher J Higher K WINNER!
PROBABILITY QUESTION:
What are the chances of winning the game over the course of 20 games, 100 games, 1000 games using our experimental demonstration? Does the answer change?
Answer: P(W)= 6/20 = 3/10
P(W)=30/100 = 3/10
P(W)=300/1000 = 3/10
No the answer does not change

Emmas Class Notes Sept 21

Sup this is Emma here. aka Simon

In class today we discussed the Independent and the Dependent Events.

Independent: No affect on each other
Dependent : There is an affect on each other.
*For only independent Events the formula is......P(A+B) = P(A)*P(B)

Example: A test is made up of 5 multiple questions, each with 4 possible answers. What is probability that you will at least get 1 answer correct, if you guess all 5 answers?

ANSWER:
P(no correct answer) = 3/4 * 3/4 * 3/4 * 3/4 * 3/4
= (3/4) po 5 = .237
P(at least 1 correct answer) = 1-P(no correct answer)
= 1-.237
= 76.3% chance of at least 1 correct

Our Homwork was on Pg 31 #1-9

toodles!

Sunday, September 20, 2009

What To Wear...


Barb has FIVE shirts to choose from for a trip to Winnipeg. The color of shirts she has in her closet are, black, green, yellow, Purple and red. She is only able to take TWO shirts with her that are different colors. How many different pairs of shirts are possible that she can take with her?

A.) BG, BY, BP, BR, GY, GP, GR, YP, YR, PR,

Saturday, September 19, 2009

bike race

Steven has registered in a 60 km bike race. There are 44 other people in the race. Steven has a favorite 3 digit number of 111. He wants to know what the probability of getting this number is. Can you tell him the answer?



Solution: there are only 9 possible numbers for the first digit (1-9)
there are 10 possible digits for the last two digits (0-9)
To find the answer: 9x10x10=900 possible three digit numbers



David Dempster

Thursday, September 17, 2009

Ring Ring !!

http://www.sscommunicationsite.com/imagelib/sitebuilder/pictures/photos2go_images/communication/360785.jpg


The telephone was invented in 1870 by Alexander Graham Bell.

1. - Calculate how many possible phone numbers there are in an 11 digit phone number. *Each sequence must be a 3 or 4 digit number*

"Remembering that the first digit is 1 in all questions."

2. - Then decide how many phone numbers there are if the phone numbers 10 digits has the following criteria:
- The first 4 digits is the year you were born, the next 1 digit is how many letters are in your first name, the next 2 digits are any 2 #'s above zero that add up to 9, the next digit is the first # of your house number, and the last 2 digits is the number of students in the classroom.

Ex: 1.9.9.2.7.9.6.3.1.2. Your answer?

What Form(s) did you use?