Post on 09-Dec-2014
description
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User: DaFREAK888youtube.com
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Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the Library and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park
and ends up at the from gates of the park.
How many ways can Kuzco get from his house to Malina's with exactly one stop over?
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• Construct a diagram
• Construct a Matrix
• Answer the question
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Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s house and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around
Pyramid Park and ends up at the from gates of the park.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
• Construct a diagram
Plot each destination
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Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around
Pyramid Park and ends up at the from gates of the park.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
• Construct a diagram
Plot each destination
Malina's house
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Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the Library, Kuzco`s Palace, and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
• Construct a diagram
Plot each destination
Malina's house Library
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Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park and near
Malina`s House.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
• Construct a diagram
Plot each destination
Malina's house Library
Pyramid Park
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• Construct a diagram
Plot each destination
Malina's house Library
Pyramid Park Kuzco's Palace
Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park and near
Malina`s House.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
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• Construct a diagram
Malina's house Library
Pyramid Park Kuzco's Palace
Use arrows to describe the direction that the bus travels
in.
Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park and near
Malina`s House.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
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• Construct a diagram
Malina's house Library
Pyramid Park Kuzco's Palace
Use arrows to describe the direction that the bus travels
in.
Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park and near
Malina`s House.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
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• Construct a diagram
Use arrows to describe the direction that the bus travels
in.
Kuzco and Malina are going on a date, they are using the bus for transportation. The bus travels from Malina's house to the
Library, Kuzco`s Palace and to Pyramid Park, it also travels from Kuzco's house to the Library. There is a bus that travels around Pyramid Park and ends up at the from gates of the park and near
Malina`s House.How many ways can Kuzco get from his house to Malina's with
exactly one stop over?
Malina's house Library
Pyramid Park Kuzco's Palace
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• Construct a diagram
• Answer the question
• Construct a Matrix
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• Construct a Matrix
Using the diagram construct a matrix, use numbers to indicate the number of routes
to and from each destination.
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
Malina's house
Pyram
id Park
Library
Kuzco's Palace
Malina's house Library
Pyramid Park Kuzco's Palace
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• Construct a Matrix
Using the diagram construct a matrix, use numbers (0 or 1) to indicate the number of routes to and from each destination.
Malina's house Library
Pyramid Park Kuzco's Palace
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
Malina's house
Pyram
id Park
Library
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
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• Construct a diagram
• Construct a Matrix
• Answer the question
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FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
Malina's house
Pyram
id Park
Library
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
• Answer the questionHow many ways can Kuzco get from his house to
Malina's with exactly one stop over?
A =
From Kuzco`s to Malina`s with exactly one stopover = A2
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FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
Malina's house
Pyram
id Park
Library
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
• Answer the questionHow many ways can Kuzco get from his house to
Malina's with exactly one stop over?
A =
From Kuzco`s to Malina`s with exactly one stopover = A2
A2 = FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's PalaceMalina's house
Pyram
id Park
Library
Kuzco's Palace
1
1
1
0 0
0 0 0 01 0 0
1 1
2
2
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Kuzco has 1 way to get from his Palace to Malina`s house with exactly one stop over.
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For supper Kuzco has the choice of either roast beef and mash potatoes or burger and fries with either Coffee or Pepsi. If Kuzco eats
burger and fries, the probability of him drinking Pepsi is 4/5, the probability that he eats burger and fries is 4/6. The probability that he
will drink coffee with roast beef and mash potatoes is 2/3.
What is the probability that he will have eat roast beef with mash potatoes and drink Pepsi?
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• Construct a tree diagram
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For supper Kuzco has the choice of either roast beef and mash potatoes or burger and fries with either Coffee or Pepsi. If Kuzco eats burger and
fries, the probability of him drinking Pepsi is 4/5, the probability that he eats burger and fries is 4/6. The probability that he will drink coffee with roast
beef and mash potatoes is 2/3.What is the probability that he will have eat roast beef with mash potatoes
and drink Pepsi?
• Construct a tree diagram
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For supper Kuzco has the choice of either roast beef and mash potatoes or burger and fries with either Coffee or Pepsi. If Kuzco eats burger and
fries, the probability of him drinking Pepsi is 4/5, the probability that he eats burger and fries is 4/6. The probability that he will drink coffee with roast
beef and mash potatoes is 2/3.What is the probability that he will have eat roast beef with mash potatoes
and drink Pepsi?
• Construct a tree diagram
Using abreviations, label your tree diagram.
LegendBF = Burger & friesRM = Roast beef &
mash potatoesP = PepsiC = Coffee
BF
RM
P
C
P
C
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For supper Kuzco has the choice of either roast beef and mash potatoes or burger and fries with either Coffee or Pepsi. If Kuzco eats burger and
fries, the probability of him drinking Pepsi is 4/5, the probability that he eats burger and fries is 4/6. The probability that he will drink coffee with roast
beef and mash potatoes is 2/3.What is the probability that he will have eat roast beef with mash potatoes
and drink Pepsi?
• Construct a tree diagram
Label the probabilities.
LegendBF = Burger & friesRM = Roast beef &
mash potatoesP = PepsiC = Coffee
BF
RM
P
C
P
C
4/6
2/6
4/5
1/5
1/3
2/3
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• Construct a tree diagram
• Answer the question
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• Answer the questionWhat is the probability that he will have eat roast beef with
mash potatoes and drink Pepsi?
BF
RM
P
C
P
C
4/6
2/6
4/5
1/5
1/3
2/3
Add or multiply the correct fractions according to what is asked.NOTE: When dealing with probability remember!and/with = additionor = multiply
2 6
1 3
AND+
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• Answer the questionWhat is the probability that he will have eat roast beef with
mash potatoes and drink Pepsi?
2 6
1 3
AND+ = 3 9
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The probability of Kuzco eatting roast beef with mash potatoes and drinking Pepsi is 3
9
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret code. The code consists of three different letters and three
numbers (0 to 9).
How many different possible codes are there?
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• Organize the question
• Answer the question
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of three letters and three numbers from 0 to 9.
How many different possible codes are there?
• Organize the question
Place a line for each characteristic in the code.
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret code. The code consists of three different letters and three numbers from 0
to 9.How many different possible codes are there?
• Organize the question
Place a line for each characteristic in the code.
green = lettersred = numbers
All together there, it is a 6 characteristic code.
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret code. The code consists of three different letters and three numbers from 0
to 9.How many different possible codes are there?
• Organize the question
Because it says 3 different letters, every time you write the number of outcomes on one line, the number of outcomes on the next line is
one less than the previous.
To start, there are 26 letters in the alphabet.
26
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret code. The code consists of three different letters and three numbers from 0
to 9.How many different possible codes are there?
• Organize the question
Because it says 3 different letters, every time you write the number of outcomes on one line, the number of outcomes on the next line is
one less than the previous.
26 1 = 25
26 25
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• Organize the question
Because it says 3 different letters, every time you write the number of outcomes on one line, the number of outcomes on the next line is
one less than the previous.
25 1 = 24
26 25 24
Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret code. The code consists of three different letters and three numbers from 0
to 9.How many different possible codes are there?
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers from 0 to 9.
How many different possible codes are there?
• Organize the question
Now there are no restrictions on repeating numbers or being able to use certain numbers, therefore all numbers can be reused.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 = 10 characteristicsAll can be repeated.
26 25 24 10 10 10
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• Organize the question
• Answer the question
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers from 0 to 9.
How many different possible codes are there?
• Answer the question
Now, multiply each set of digits.
26 25 24 10 10 10x x x x x
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Kuzco and Kronk are trying to break into Yzma`s laboratory. Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers from 0 to 9.
How many different possible codes are there?
• Answer the question
Now, multiply each set of digits.
26 25 24 10 10 10x x x x x
= 15,600,000
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There are 15,600, 000 different possible codes that could be used as Yzma`s security lab code.
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Kuropatwa City has a population of 3500 teenanger attending high school, 2200 teenangers attend Kuropatwa Academy and 1300 teenagers attend other local high schools. During the course of one year, 15% of students from Kuropatwa Academy tranfer to locals schools and 56% of local high school students transfer to
Kuropatwa Academy
What is the population of Kuropatwa Academy the following year?
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• Construct a State Matrix
• Construct a diagram
• Place the diagram into a transition matix.
• Multiply the state matrix and transition matrix
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• Construct a State Matrix
• Construct a transition matrix
• Contruct a diagram
• Multiply the state matrix and transition matrix
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Kuropatwa City has a population of 3500 teenanger attending high school, 2200 teenangers attend Kuropatwa Academy and 1300 teenagers attend other local high schools. During the course of one year, 15% of students from Kuropatwa Academy tranfer to locals schools and 56% of local high school students transfer to
Kuropatwa Academy
What is the population of Kuropatwa Academy the following year?
• Contruct a diagram
Draw a diagram with arrows describing the direction of where
th students are going.
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Kuropatwa City has a population of 3500 teenanger attending high school, 2200 teenangers attend Kuropatwa Academy and 1300 teenagers attend other local high schools. During the course of one year, 15% of students from Kuropatwa Academy tranfer to locals schools and 56% of local high school students transfer to
Kuropatwa Academy
What is the population of Kuropatwa Academy the following year?
• Contruct a diagram
Draw a diagram with arrows describing the direction of where
th students are going.
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• Construct a State Matrix
• Contruct a diagram
• Construct a transition matrix
• Multiply the state matrix and transition matrix
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• Construct a transition matrix
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• Construct a State Matrix
• Contruct a diagram
• Construct a transition matrix
• Multiply the state matrix and transition matrix
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• Construct a State Matrix
• Contruct a diagram
• Construct a transition matrix
• Multiply the state matrix and transition matrix
• Answer the question
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• Answer the question
2 x 21 x 2
S x T
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• Answer the question
2 x 21 x 2
S x T
= 2065 1804
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S x T
= 2065 1804
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make?
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• Use your the TVM solvers on your TI83 graphing calculator.
• Answer the question
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.How many payments must they make?
• Use your the TVM solvers on your TI83 graphing calculator.
N =I% =PV =PMT =FV =P/Y =C/Y =
Set up your TVM solver by filling in the information.
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.How many payments must they make?
• Use your the TVM solvers on your TI83 graphing calculator.
N =I% = 4PV = 12358.06PMT = 245.00FV = 0P/Y = 12C/Y = 12
Set up your TVM solver by filling in the information.
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.How many payments must they make?
• Use your the TVM solvers on your TI83 graphing calculator.
• N =I% = 4PV = 12358.06PMT = 245.00FV = 0P/Y = 12C/Y = 12
N = number of payments**Our unknown
* PRESS (ALPHA) and (ENTER)
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• Use your the TVM solvers on your TI83 graphing calculator.
• Answer the question
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.How many payments must they make till they pay off the loan?
• Use your the TVM solvers on your TI83 graphing calculator.
• N =I% = 4PV = 12358.06PMT = 245.00FV = 0P/Y = 12C/Y = 12
N = number of payments**Our unknown
* PRESS (ALPHA) and (ENTER)
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Kuzco and Malina decide to buy are car. They must take out a loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.How many payments must they make?
• Use your the TVM solvers on your TI83 graphing calculator.
• N = 55.31820057I% = 4PV = 12358.06PMT = 245.00FV = 0P/Y = 12C/Y = 12
N = number of payments**Our unknown
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• N = 55.31820057I% = 4PV = 12358.06PMT = 245.00FV = 0P/Y = 12C/Y = 12
• Answer the question
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Kuzco and Malina must make 55.31 payment before they fully pay off their car loan.
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