Theorem ans a - Study guides, Class notes & Summaries
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CS161 Theorems Questions and Answers | New One | Grade A+
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Refutation Theorem 
Ans: ∆╞ α iff ∆^¬α is inconsistent. 
Modus Ponens 
Ans: If the knowledge base contains α and α⇒β, then add β to the knowledge base. 
Modus Tollens 
Ans: If knowledge base contains α⇒β and ¬β, then add ¬α to knowledge base. 
∆╞ α 
Ans: ∆ entails α, M(∆) is a subset of M(α), therefore α logically follows from ∆. 
Decomposable 
Ans: If α ^ β appears in NNF, then vars(α)∩vars(β)=∅. Basically, α and β shouldn't share 
variables. DNN...
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Common Core Geometry Cumulative Exam Review Questions with correct answers
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Common Core Geometry Cumulative Exam Review Questions with correct answers 
 
Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL? 
 
Both segments are tangent to circle M but are not chords. 
One segment is tangent to circle M and one segment is a chord in circle M. 
Both segments are chords in circle M but are not tangents. 
Neither segment is a chord nor tangent to circle M. - ANS: Neither segment is a cho...
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WGU C955 applied probability and statistics Exam Questions And Answers
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WGU C955 applied probability and statistics Exam Questions And Answers 
 
Discrete data - ANS Has distinct values, can be counted, had unconnected points (think dots) 
 
Continuous data - ANS Has values within a range, measured not counted, does not have gaps between data points (data is connected lines or curves). 
 
Example of discrete data - ANS Days of the week 
 
Expressions - ANS A group of symbols such as numbers and operators that has mathematical validity 
 
Commutative - ...
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OCR Maths
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Quadratic Formula - ANS-x = -b ± √(b² - 4ac)/2a 
Pythagorean Theorem - ANS-a²+b²=c² 
(a^x)(a^y) - ANS-a^(x + y) 
a^x / a^y - ANS-a^(x - y) 
(a^x)^y - ANS-a^xy 
x = a^n - ANS-n = logA(x) 
logAx + logAy - ANS-logA(xy) 
kloga(x) - ANS-loga(x^k) 
straight line formula - ANS-(y - y1) = m(x-x1)
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OCR A Level Maths - Pure
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Factor Theorem - ANS-A polynomial f(x) has a factor (x - a) if and only if f(a) = 0 
It has a factor (bx-a) if f(a/b) = 0 
Sketching polynomials - ANS-Shape: Reflect in x-axis if there is a negative x 
Roots: - Crosses x-axis at any root e.g. (x+5) would mean crosses at negative 5 
-However, if negative x is in the bracket e.g. (5-x) would mean crosses at positive 5 
-Also a repeated root means the curve just touches at that point 
Sketching graphical inequality - ANS-Shade where the inequality ...
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OCR Maths A-level OCR MEI (B)
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Quadratic Formula - ANS-x = -b ± √(b² - 4ac)/2a 
Pythagorean Theorem - ANS-a²+b²=c² 
(a^x)(a^y) - ANS-a^(x + y) 
a^x / a^y - ANS-a^(x - y) 
(a^x)^y - ANS-a^xy 
x = a^n - ANS-n = logA(x) 
logAx + logAy - ANS-logA(xy) 
kloga(x) - ANS-loga(x^k) 
straight line formula - ANS-(y - y1) = m(x-x1)
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geometry a - unit 4: exam
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is it possible to prove that the triangles are congruent by using the aas congruence theorem? - ans no, possible to prove that the triangles are congruent by using the aas congruence theorem? 
 
which statement must be true to be able to use the aas congruence theorem to prove △lmn ≅ △pon? - ans n is the midpoint of lp 
 
if △abc ≅△ade, what is the length of ae? - ans 7 
 
which statement about △uvw and △xyz is true? - ans △uvw ≅△xyz by the hl congruence theorem. 
 
wha...
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GCSE Edexcel Math Higher Exam 2024 Expected Questions and Answers (Verified by Expert)
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GCSE Edexcel Math Higher Exam 2024 Expected Questions and Answers (Verified by Expert) 
GCSE Edexcel Math Higher Exam 2024 Expected Questions and Answers (Verified by Expert) 
GCSE Edexcel Math Higher Exam 2024 Expected Questions and Answers (Verified by Expert) 
GCSE Edexcel Math Higher 2024 Expected Questions and Answers 
(Verified by Expert) 
 
 
 
 
 
 
 
1.	area of a circle ANS 
 
 
 
 
 
2.	surface area of a sphere ANS 
 
 
3.	surface area of a cone ANS rÀx slanted length x Àr^2 
 
 ...
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Geometry Final Exam Review
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m<1 = 104, m<2 = 76 - ans If <1 and <2 are supplementary, what is the measure of each angle if m<1 = (3x-4) and m<2 = (2x+4)? 
 
(4,2) - ans Find the midpoint of the segment with endpoints (2, -2) and (6, 6). 
 
140 degrees - ans Find the m<AOB 
 
x=7 - ans If AB = 2x+3, BC = 3x+2 and AC = 40, what is x? The drawing is not to scale. 
 
x=3 - ans If LM = x+30 and RS = 24+3x, what is x? 
 
T,U,V - ans Which three points are collinear? 
 
5 - ans Find the d...
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Unit 3-Artificial Intelligence Exam Review Solution 2023-2024
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Unit 3-Artificial Intelligence Exam Review Solution 
Intelligence - ANS-as we know, is the ability to acquire and apply knowledge. 
Intelligence is composed of: - ANS-§Reasoning 
§Learning 
§Problem Solving 
§Perception 
§ Linguistic Intelligence 
Knowledge - ANS-is the information acquired through experience. 
Experience - ANS-is the knowledge gained through exposure (training) 
the two components of ai - ANS-an agent and its environment 
Machine perception - ANS-is the ability to use inp...
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