Geometry Summary Sheet
Welcome. This is the third iteration of a summary sheet started by Brian Kwong. Special thanks
to Shadman Khandaker, Daniel Roz, as well as my old peers who served as brilliant editors
from the start. Finally, I personally hope that
UNIT 1 TEST
Definitions
Regular polygon a polygon that is both equilateral and equiangular
Circumscribed circle a circle that passes through the vertices of a regular
polygon
o Has the same center as the regular polygon
Inscribed circle a circle that is t
Brave New World Discussion Quiz
Wednesday, January 6, 2016
Chapters 1-6
Reading Section:
1. Huxleys narration style is a grammatical technique called "Implied Indirect
Discourse." Start with "discourse." Discourse = speech. If you've got a sentence that
r
Chapter 19 Confidence Intervals for Proportions
325
Chapter 19 Confidence Intervals for Proportions
1. Margin of error.
He believes the true proportion of voters with a certain opinion is within 4% of his
estimate, with some degree of confidence, perhaps
214
Part III Gathering Data
Review of Part III Gathering Data
1.
The researchers performed a prospective observational study, since the children were
identified at birth and examined at ages 8 and 20. There were indications of behavioral
differences betwe
Chapter 21 More About Tests
355
Chapter 21 More About Tests
1. P-value.
If the effectiveness of the new poison ivy treatment is the same as the effectiveness of the
old treatment, the chance of observing an effectiveness this large or larger in a sample o
200
Part III Gathering Data
Chapter 13 Experiments
1. a) This is an experiment, since treatments were imposed.
b) The subjects studied were 30 patients with bipolar disorder.
c) The experiment has 1 factor (omega-3 fats from fish oil), at 2 levels (high d
302
Part V From the Data at Hand to the World at Large
Chapter 18 Sampling Distribution Models
1. Coin tosses.
a) The histogram of these proportions is expected to be symmetric, but not because of the
Central Limit Theorem. The sample of 16 coin flips is
262
Part IV Randomness and Probability
Chapter 17 Probability Models
1. Bernoulli.
a) These are not Bernoulli trials. The possible outcomes are 1, 2, 3, 4, 5, and 6. There are more
than two possible outcomes.
b) These may be considered Bernoulli trials. T
438
Part VI Learning About the World
Chapter 25 Paired Samples and Blocks
1. More eggs?
a) Randomly assign 50 hens to each of the two kinds of feed. Compare the mean egg
production of the two groups at the end of one month.
b) Randomly divide the 100 hens
130
Part II Exploring Relationships Between Variables
Chapter 9 Regression Wisdom
1. Marriage age.
a) The trend in age at first marriage for American women is very strong over the entire time
period recorded on the graph, but the direction and form are di
340
Part V From the Data at Hand to the World at Large
Chapter 20 Testing Hypotheses about Proportions
1. Hypotheses.
a) H0 : The governors negatives are 30%. (p = 0.30)
HA : The governors negatives are less than 30%. (p < 0.30)
b) H0 : The proportion of
234
Part IV Randomness and Probability
Chapter 15 Probability Rules!
1. Sample spaces.
a) S = cfw_ HH, HT, TH, TT All of the outcomes are equally likely to occur.
b) S = cfw_ 0, 1, 2, 3 All outcomes are not equally likely. A family of 3 is more likely to
250
Part IV Randomness and Probability
Chapter 16 Random Variables
1. Expected value.
a) = E (Y ) = 10(0.3) + 20(0.5) + 30(0.2) = 19
b) = E (Y ) = 2(0.3) + 4(0.4) + 6(0.2) + 8(0.1) = 4.2
2. Expected value.
a) = E (Y ) = 0(0.2) + 1(0.4) + 2(0.4) = 1.2
b) =
Chapter 12 Sample Surveys
193
Chapter 12 Sample Surveys
1.
Population human resources directors of Fortune 500 companies
Parameter proportion of directors who dont feel that surveys intruded on their workday
Sampling Frame list of HR directors at Fortune
226
Part IV Randomness and Probability
Chapter 14 From Randomness to Probability
1. Roulette.
If a roulette wheel is to be considered truly random, then each outcome is equally likely to
occur, and knowing one outcome will not affect the probability of th
Final Studying: Geometry
Logic Statements:
Statement: Something that is either true or false, but not both
Compound Statement: When two or more statements, represented by the terms p and q, are put in a
sentence and are separated by logical connectors (an
AP US History Document Based Question
Directions: The following question requires you to construct an essay that integrates your interpretation of
Documents A-H and your knowledge of the period referred to in the question. In the essay you should strive t
Test: Mid Term Exam Semester 1
Review your answers, feedback, and question scores below. An asterisk (*) indicates a correct answer.
Semester 1 Mid Term Exam covers Sections 1-10 of Database Design.
Section 10
(Answer all questions in this secti
51- no theorems
52
If a quadrilateral has at least one right right angle, then it is a rectangle
If a quadrilateral is a parallelogram with congruent diagonals, ten it is a rectangle
If a quadrilateral has 4 right angles, then it is a rectangle
If a q
Math aims 39-50
Coplanar
Transversal
Alternate interior angles
Alternate exterior angles
Corresponding angles
Same side exterior angles
Same side interior angles
Parallel lines
If two coplanar lines are cut by a transversal such that alternate interior a
William Xiang
The Fourth Dimension
Fourth Dimension Represented in Space
Visualizing the fourth dimension is impossible for us (third dimension beings), but fourth
dimensional figures can be simplified by examining lower dimensions. For example, a single
Postulates
Postulate 0.1. Linear pairs are supplementary.
Postulate 0.2. The SAS Postulate. Every SAS correspondence is a congruence.
Postulate 0.3. The Parallel Postulate. Through a given external point there is only one parallel to a given
line.
Theorem
Roots of Polynomial Equations Quiz
I. Symmetry of graphs
A. If a graph of an equation is symmetric about the y-axis such that replacing x
with -x yields an equivalent equation, then the graph is an even graph.
B. A graph of an equation is symmetric about
Euclidean Geometry Theorems
Aim 1: What are the negation, conjunction, and disjunction of statements?
Statement- a sentence which can be judged to be true or false
Truth Value- true or false
*A statement and its negation have opposite truth values.
*odd n
Client-server computing: client (user) makes a request of a server
(piece of software that answers the request)
Script -small program
How does the browser convey its request to the server?
Via URLs
./pages.py? [page = profile] (query string)
Not to find m
Q=cfw_x|x=(p/q), (p,q)z, q 0
(p/q) =quotient of two numbers
(p,q)z = numbers are integers
(q0) = second number not zero; else, undefined
Special factors have special products.
Special Cases
Factors
Products
perfect square trinomials
(a b)2
a2 2ab + b2
dif