Chapter 9 Review
May 14th, 2011 by corricelli
Hello,
Please use this section of our blog to discuss chapter 9 review questions.
Happy blogging,
Mrs. Corricelli
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Hi! Yuyu and I were trying to figure out the answer to number 13 on the quiz and we were having a really difficult time trying to understand what the book did. We understand the 5, 4, and 3 correct answers, but 2 and 1 correct were unclear. Can anyone explain it if you understand it? That would be MUCH appreciated!
Hope you’re all having a great weekend.
I think a majority of the class was confused on #13 so I’m right with Olivia and Yuyu!
But I am currently doing the chapter 9 review, and on #15 I’m confused as to what r is for the geometric series.
It has 6/(j^2) next to the sigma, n=1 and it goes up to 4. I want to use the formula for a finite geometric series but I’m blanking on what to do.
Hey guys! this is just a general question pertaining to the content of the test, but do we have to have all the equations in this chapter memorized for tomorrow or will any of them be given?
For example, sum of a finite geom. series, sum of an infinite geom. series, finite arithmetic, etc?
Thanks!
I also am confused on the explanation for #13 on the quiz.
And also, I am confused for #72 in the Chapter 9 Review Problems. I don’t understand the way the book did it!
And Taylor, for #15, they didn’t use the formula. Since they are just looking for the first 4 terms, it makes it much easier to just figure out that when j=1, it equals 6, when j=2, it equals (3/2)..etc. And then you just add the four numbers you get together to get the answer!
And Serena, yes I’m guessing we do have to know the formulas for the test on tuesday!
Serena, I’m sure you don’t have to memorize the formulas that were in the table from way back when (I think it was in 9.4 or 9.5 but you needed to use the given formulas on #8 on the take-home collected problems). However, the normal ones like arithmetic and geometric formulas should probably be memorized for the test (just in case).
Number 65..it says to use a graphic calculator.. are you suppost to use th equations we know or is there a way to put a sigma notation into the calculator??
Hi! I had the same question as Colleen, in addition to that I had a question on induction and on the probabilty formulas, but I want to go over the formulas in class (like when to use which and how to know what changes in your event)
Nevermind I just read back in the chapter and now I get it…
Ok new question. On the chapter 9.7 and 9.6 quiz, 13 a and b. This is an example where I had no idea whether to use pick or choose, also how to use “at least” in an equation.
Also, in number 12 can anyone explain how to do that, because I figured it would be 6 options for each letter except dont count one of the I’s because they two can be arranged the same way. Hope that makes sense sorry for the rambling!
Addressing the trick mrs. corricelli taught us for the probability questions pertaining to number 11 on the quiz, is it always 2^number of possibilities?
yes nick, this can be seen by adding up the numbers in pascals triangle which go 1 (2^0), 2 (2^1), 4 (2^2), 8 (2^3) ok you get the point. so if there are 8 possibilities then it would be 2^8. but on the quiz, if there is like 2^3 and 2^4, to combine them do you multiply or add?
Hello Teams 2 and 7,
Thank you so much for the great videos so far…
As far as number 13, we will go over this in class on Monday (Test on Tuesday) along with a “big picture” for this unit.
You will not be given formulas on the test. The “Sums of Powers of Integers” formula for k and k^2 should be known (p.677) Focus especially on the formulas you used in quizzes, homework, and/or review questions.
Sarah, as far as 72 – see Example 8 on p. 666. It is very similar and should help…
Colleen, the graphing calculator would help in the sense that you can use L1 to enter the data. Then you can type the STAT button then hit the right arrow to get to the CALC tab. 1-var STATS returns a TON of information. The default list is L1. If you want a different list to be summed, you need to type that list number after 1 Var Stats on the main menu. One of the outputs is the sum of the list you selected.
Rebecca, I think that 12 is the arranging of “OLIVIA”? See p. 693 – Ex 7.
Hope this helps!!! Again, thank you so much for the videos you have sent along so far!
Happy blogging,
Mrs. Corricelli
Hello!!!
Pascal’s Triangle is pretty well-explained here: http://ptri1.tripod.com/ and here: http://www.mathsisfun.com/pascals-triangle.html.
Enjoy,
Mrs. Corricelli
The trick that Mrs. Corricelli taught us in class is pretty much summed up in this equation, which I personally find easier to remember:
xC0 + xC1 + xC2 + … + xCx = 2^x
For example, if you have to add (like #11 on the quiz):
5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5
then it would be quicker simply to do 2^5
I’m almost positive this is what she meant, correct me if I’m wrong. And for those that are confused by my notation, “xC2″ means “x choose 2″.
To answer Joe’s question, you would need to multiply the 2^3 and the 2^4.
Does anyone have any tricks for remembering the coefficients in binomial theory questions? Is the easiest way just to memorize Pascal’s Triangle, or is there a shortcut?
DJ -
What you wrote is 100% correct!
Thank you!
Callum -
The coefficients are combinations…
Note: mCn means m choose n.
(x+y)^4 = (4C0)x^4 + (4C1)x^3y + (4C2)x^2y^2…
When x and y have coefficients, themselves, then the final coefficients for each term is impacted by each variable’s coefficient.
Hope this helps,
Mrs. Corricelli
Ms. Corricelli, thanks for extending the date of the test, because I took the quiz on Friday, and I had wanted to be able to go through it before the chapter test….
On the review, most of the problems were accessible.. For number 71 on the chapter review, in part a, why is it not in the gn = g1(r)^n-1 format? The answer just had “n” but not “n-1″?
Also, I had the same Question as Callum about the binomial equations…but I don’t really understand what you wrote above Ms. Corricelli…I know you were talking about it in class on Friday but I was caught up in taking the quiz….so I didn’t really understand it….
I need help with number 71 on the review!! Please!
Tiana,
r=.7 (since 1-.3 = .7)
I think this is probably the main issue…
If not, please post more information.
Happy Monday,
Mrs. Corricelli