So two questions I want to model over are vectors and statistics. This question is the one I want to model my vector question over. I chose this question because it's hard and the only way to become an expert is to pick something challenging and mastering it

The next question I choose is this one
I chose this one because I failed my statistics test and this was one of the hardest things to do on the statistics unit in general. Normal curves were just a bit confusing. Okay so these are the questions im going to model my expert voices project on albeit a little more difficult and a little bit more different.

May 23rd Rough Copy

May 24th Do visuals

May 25th Do all computer work

June 1st Complete project

June 7th Publish project

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......

Hi everybody, just a heads up there is a pre-test tomorrow so be prepared.

Any who today in class we learned two new topics. These topics are called Mutually exclusive and Non Mutually exclusive events. The way something can be mutually exclusive is if it is impossible for them to occur together. Basically like saying you can't be the age 31 and at the same time be 16, there is just no way. Or like saying can you roll a die and get both a positive and negative number at the same time.

Examples

Drawing one card either, a black ace or a red two

When randomly selecting two animals from a barn either a, cat or dog

Randomly selecting a person either a, girl or a boy

Now non mutually exclusive events are the exact opposites when things can happen together, like either drawing from a deck of cards a king or a spade. You can actually draw a king of spades.

Examples

Selecting a person for your basketball team who is either, fast or tall

Sleeping with either a, long pillow or comfy pillow

Rolling a two dice and either getting a sum of an odd number or a double

Although you may just think of this as the exact opposite to mutually exclusive events there is more thinking involved. Mutually exclusive event formula is (A) n (B) = zero set, done. For non mutually exclusive events there is a big formula you have to follow.

Using Mr.K's example I will explain

You wish to draw either a king or a spade from a single deck
A represents kings
B represents spades
Now remember one card is both keep this in mind

So the formula looks like this P ( A U B ) = P(A) + P(B) - P(AnB)
Plug in the numbers and you it looks like
P ( A U B ) = 4/52 + 13/52 - 1/52
= 1/16

WHOA, why did we subtract the 1/52 people may ask, reason being because the card gets counted so we want to subtracted it so that it doesn't get counted twice.

So that is what we learned in class what I recommend doing is try to make up your own mutually and non mutually exclusive events and practise further with the formula. Now the next scribe I choose is IRIS......

Today in class we did a matrices workshop. We touched up on many things in class today like for example solving for "X" and "Y", how connections can relate and create a connectivity matrix and how putting a connectivity matrix to the power of say 3 or 4 will result in different connections. After refreshing or memory we put or knowledge into some "real life situation" word problems. As of such since we didn't learn anything new I will just post examples of the problems we did today.

Example One

Solve for "X" and "Y"

So the first step would have to be finding X, remember row by column

(So what I did here was I knew "X" multiplied by 10 equals 50.

So I divided 10 from both sides to get "X" all by itself.

50 divided by 10 equals 5 so "X" equals 5)

Next we do the same for Y

(Now knowing that "X" is 5 we use that instead.

Then following the same steps we come up with 7.)

There you have it that's how you solve for "X" and "Y"


Example Two


Connectivity matrices


So an airline called purple lines just opened and this is how there flight patterns work on a one way trip









Create a connectivity matrix











Now for a word problem


Iris is lost and can't help herself, so henson being the bright guy he is ask whats the problem.
Iris asks how can I get from Vancouver to Montreal in a two hop flight route.


So how can henson help her? Easy





( By taking the matricies and putting it to the power of 2 you get the two hop flight routes, but what your really intrested in finding is the route from V to M)



After punching this into the calculator the two hop flight from Vancouver to Montreal is 1

And so these two things are what we reviewed in class today example one shows how you can solve for X and Y and example two shows how connectivity matrices can be drawn, read from a drawing and demonstrates how you can find different connections through the use of powers. So the next scribe person I choose is....


Iris