developing expert voices
TRANSCRIPT
By: Michelle Winter &Jessie Boyd
1. Sandra works at a clothing store. She is responsible for keeping track of items sold. She has a list of pants sold within the last two weeks. Find the mean, median and mode to help her keep track of her sales.
S M T W T F S
Week 1 34 20 26 26 27 30 35
Week 2 30 22 25 26 28 31 33QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
2. On her lunch break, Sandra decides to go shopping. She wants to visit two shoe stores in her one hour break. From her starting point, Sandra goes 12 km/h at a 30 degree direction for ten minutes. She stays there for twenty minutes. She then walks at a speed of 18 km/h at a direction of 42 degrees east of south for another ten minutes. After ten minutes in that store she decides to return back to work. In what direction and distance does she have to travel to return to her starting point? Show all work.
3. The next day Sandra visits her favourite clothing store and walks to the sales rack. On the rack are ten shirts, blue, green, orange, yellow, purple, black, pink, white, grey, and red. Sandra loves them all, so she decides to close her eyes and choose three, since it’s al she can afford. What is the probability:
a) Both the black and the green are chosen?
b) Either the pink or purple is chosen?
c) Neither the grey or orange is chosen?
4. Sandra leaves on her straightner when she goes to work, and all her clothes burn. So she decides to use her credit card to replace her wardrobe. She ends up putting $1200 on the card. It gathers on her card for three months.
a) For the first month, no interest is added. For the two months(60 days) interest gathers at 18% compounded daily. At the end of the three months how much does she owe on her card?
b) Sandra then decides to take out a loan to pay off her credit card. They offer her 6% compounded monthly. If she wants to pay it off in 2 years, what will her monthly payments be?
Question #1:
Mean or x = 28.07Median = 27.5Mode = 26
There are two different ways to solve this question. On you calculator or by hand.
On your calculator :
STEP 1
Press STAT button on your calculator and enter all values into L1
STEP 2
Press the STAT button again but then move cursor to CALC.
Choose first option and then press enter.
STEP 3
To find the mean look at the value by the X.Then by scrolling down you will find the
MEDIAN.And the MODE is always the number that
reoccurs most in the set number of data.
By hand:
Step 1
TO FIND THE MEAN:Take all valued and divide by amount of
values given.
Example: 12+16+4 -------------
3
Step 2
To find the MEDIAN you must order the values from smallest to largest, it is the middle value.
1,2,3,4,5If it is an odd number set of data. It is the two middle
umbers divided by two.1,2,3,4
2+3 / 2 = 2.5
Step 3
The MODE is the value that occurs most often in a set of data.
Example: 1,3,6,3,7,9,2,4,3,15,22,45,3.
Question #2:
First calculate the distance that Sandra walked in kilometers.
If she walked for 10 minutes, that is 1/ 6 of an hour.
12 km/h = 12/6
= 2 km
18 km/h = 18/6
= 3 km
Then you can draw your diagram.
2 km
3 km30 degrees
30 degrees
70 degrees
42 degrees
112 degrees
Resultant vector
Since you know two sides and an angle you can go into your calculator, under
PRGM to TRISOLV to solve the triangle.
2 km
3 km30 degrees
30 degrees
70 degrees
42 degrees
112 degrees
Resultant vector
Angle A
Angle C
Angle B
Side C
Side B
Side A
With all angles and sides lettered, it will be easy to followthe TRISOLV application on you calculator.
Press the PRGM button on your calculator and go into the TRISOLV application
Enter in all the sides and angles you know, according to your diagram and then press
solve.
Draw a diagram on you paper to show the values you knew and the ones you obtained, like this:
TRISOLV
Sides Angles
a = 4.183 A = 112 degrees
b = 3 B = 41.683 degrees
c = 2 C = 26.317 degrees
(Black represents known data and red represents acquired data)
Thanks to the TRISOLV application you now know the distances of the resultant vector.
Resultant vector 4.183 km=
Now that you know the distance she must travel, the last thing to find is the direction. Which is
found on a bearing:
Resultant vector 4.183 km.=
30degrees
41.683degrees
30 + 41.683 = 71.683 degrees
(The bearing)
Therefore, the answer is:
To return back to work she would have to travel 4.183 km at a bearing of 71.683 degrees.
Question #3
a) 2C2 8C1 c) 8C3
--------------------- = 0.0667 -------------- = 0.4667
10C3 =1/15 10C3 = 7/15
b) 2C1 8C2
------------------- = 0.4667
10C3 = 7/15
To find the answer for a:
2C2
Since we are looking for two specific shirts, we are choosing two out of two.
To find the answer for a:
8C1
And since she wants to buy 3 shirts, the last one has to be counted as well. So out of the eight left, since she has already chosen two, one
more has to be picked.
To find the answer for a:
10C3
And it is divided by 10 choose 3, since we need to divide the two possibilities by the end result
of choosing the three out of ten.
To find the answer for a:
To enter the values on your calculator, you press MATH and move the cursor over to PRB and
find the nCr option
To find the answer for a:
Enter in the first number and then the nCr option after each number, placing the last number
afterward.
2 nCr 2
To find the answer for a:
Then when you have all the values put in your calculator, press enter and your answer is
given.
Since it is is decimal form, change it to a fraction.
0.0667 = 1/15
To find the answer for b:
2C1
Since we want one or another, out of the two colours we want to choose only one.
To find the answer for b:
8C2
And out of the two colours given we chose one, so that leaves two shirts to still be picked,
therefore out of the eight colours left to pick we want to choose two.
To find the answer for b:
10C3
And it is divided by 10 choose 3, since we need to divide the two possibilities by the end result
of choosing the three out of ten.
To find the answer for b:
To enter the values on your calculator, you press MATH and move the cursor over to PRB and
find the nCr option
To find the answer for b:
Enter in the first number and then the nCr option after each number, placing the last number
afterward.
10 nCr 3
To find the answer for a:
Then when you have all the values put in your calculator, press enter and your answer is
given.
Since it is is decimal form, change it to a fraction.
0.4667 = 7/15
To find the answer for c:
8C3
Since we don’t want two out of the ten shirts, we take the two shirts out of the questions and
choose three out of the eight.
To find the answer for c:
10C3
And it is divided by 10 choose 3, since we need to divide the two possibilities by the end result
of choosing the three out of ten.
To find the answer for c:
To enter the values on your calculator, you press MATH and move the cursor over to PRB and
find the nCr option
To find the answer for c:
Enter in the first number and then the nCr option after each number, placing the last number
afterward.
10 nCr 3
To find the answer for c:
Then when you have all the values put in your calculator, press enter and your answer is
given.
Since it is is decimal form, change it to a fraction.
0.4667 = 7/15
Question #4:
a) At the end of the three months, Sandra will owe $2950.87
b) If Sandra wants to pay it off in two years, her monthly payments will be $130.78
To find the answer for a:
The first step is to open up the TVM SOLVER on you calculator. Do this by pressing the APPS
button, then press enter on the finance application. And then press enter on the TVM
SOLVER.
To find the answer for a:
Once you have opened up the TVM SOLVER you should get a window that looks like this:
N = 0I%= 0PV= 0PMT= 0FV= 0P/Y= 1C/Y= 1PMT: END
To find the answer for a:
Once you have the TVM SOLVER opened you can start adding in the values
N = 60
I%= 18
PV= -1200
PMT= 0
FV= 2950.869
P/Y= 12
C/Y= 365
PMT: END
60 days of gathering interest
The amount of interest on the credit card
The present amount on her credit card
She isn’t making any payments yet and we aren’t looking for any
The answer for the future value on the card afterthe 60 days of gathering interest
The payments are calculated monthly
The money is compounded daily because it is a credit card
The payments are compounded at the end of the month
To find the answer for a:
Therefore the answer to a is that she will owe $2950.87 on her credit card at the end of the
three months.
To find the answer for b:
The first step is to open up the TVM SOLVER on you calculator. Do this by pressing the APPS
button, then press enter on the finance application. And then press enter on the TVM
SOLVER.
To find the answer for b:Once you have opened up the TVM SOLVER you
should get a window that looks like this:N = 0I%= 0PV= 0PMT= 0FV= 0P/Y= 1C/Y= 1PMT: END
To find the answer for b:Once the TVM SOLVER is open you can begin
adding in the values:N = 24I%= 6PV= 2950.869PMT= -130.784FV= 0P/Y= 12C/Y= 12PMT: END
24 months of gathering interest
The amount of interest added on through the bank
The price of the loan taken out
The monthly payments she will have to maketo pay off her loan
In the end she wants a future value of 0
The payments are calculated monthly
The money is compounded monthly
The payments are compounded at the end of the month
To find the answer for b:
Therefore the answer to b is that Sandra will have to make monthly payments of $130.78 to pay
off the loan in two years.
Question #5:
a)18.76%
b)86.31%
To find the answer for a:
The first step is to find the binomcdf function on your calculator.
Go 2nd VARS, and you will come to the DISTR screen, scroll down until you find the function.
To find the answer for a:
Now you can fill it in with the values:
binomcdf(200, 0.15,25)
To find the answer for a:
binomcdf(200, 0.15, 25)
We are looking at200 pieces of
jewelryOut of every box there
Is a probability 15% are broken
Outcome of exactly 25
To find the answer for a:
The you press enter to get the answer:
binomcdf(200, 0.15,25) = 0.1876
= 18.76%
To find the answer for b:
Since the binomial function calculates the probability from the outcome you are looking for right down to one, this question has one extra
step.
To find the answer for b:
Before you get the binomial function on your home screen, start off with this:
1 -
To find the answer for b:
Since we are looking for 25 or more, we will use the binomial function to find from 24 and down,
then subtract the value from one.
To find the answer for b:
We subtract from one because the values are given in percent form, and 1 will represent the
whole or 100%
To find the answer for b:
So your home screen should now look like this:
1 - binomcdf(200, 0.15, 24)
To find the answer for b:
Then press enter to get the answer:
1 - binomcdf(200, 0.15, 24) = 0.8631
= 86.31%
PHOTO REFERENCES:
www.flickr.com/photos/the-bh/389524779
www.flickr.com/photos/bee_cute_designs/2431999764
www.flickr.com/photos/7alawah/1169605983
www.flickr.com/photos/jafrph/2484740477
www.flickr.com/photos/maxivida/118691383
www.flickr.com/photos/rashdan/455195539
www.flickr.com/photos/janoid/389756903
www.flickr.com/photos/stacyrucker/2219760450
www.flickr.com/photos/destinyscreations/2423780363