Wednesday, December 30, 2009
caffeine project
clarified questions
Tuesday, December 22, 2009
special Christmas News
https://www.edline.net/pages/Dauphin_Regional_CSS/Classes/0910_AMA40S_a/Vector_Quiz
Thursday, December 10, 2009
Adding Vectors
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
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
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
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
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
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
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
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
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
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 |
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
Wednesday, November 18, 2009
Saturday, November 14, 2009
A tad Tardy
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
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
****LEASES MUST USE "BEGIN" ON TVM SOLVER****
Homework is pg 178 #1,3,7 or 8
Thursday, November 5, 2009
Work Period
INVESTMENT PORTFOLIOS
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%
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%

Tuesday, November 3, 2009
work period
Answer keys in booklet handed out yesterday.
Monday, November 2, 2009
RRSP
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
Wednesday, October 28, 2009
Personal Finance - Oct. 28th

Thursday, October 22, 2009
Gaining confidince
Tuesday, October 20, 2009
Tutorial 3.5
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
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

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
Tuesday, October 13, 2009
October 9th AND October 13th

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.
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
- 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
- Use , , or 1PropZ-Int
- Interpret a confidence interval (Describe what it means)
binomial distribution
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
_
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
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
Network Problems
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
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
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

Wednesday, September 23, 2009
20 things
http://www.dumblittleman.com/2008/02/20-things-im-glad-life-taught-me.html
Math
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

Emmas Class Notes Sept 21
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

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 !!
What Form(s) did you use?