5. Show that if A , then AnB -a. Hint Use the contrapositive.

Q: 5. ( Express the negation of the statement ¬ \x‡y(P(x,y)/Q(x,y) → R(x,y)) so that no negation…

A:

Q: Give the contrapositive of "If I get the job, then I will rent the apartment". If I Blank 1, then I…

A: The given statement is If I get the job, then I will rent the apartment.

Q: ₂₅. ɪꜰ ɪᴛ ᴅᴏᴇꜱ ɴᴏᴛ ʜᴀᴘᴘᴇɴ ᴛᴏɴɪɢʜᴛ, ᴛʜᴇɴ ɪ ᴡɪʟʟ ꜱᴛᴀʏ ᴀᴛ ʜᴏᴍᴇ. ᴄᴏɴᴠᴇʀꜱᴇ: ɪɴᴠᴇʀꜱᴇ: ᴄᴏɴᴛʀᴀᴘᴏꜱɪᴛɪᴠᴇ: ₂₆.…

A: Consider the conditional statement p→q. The converse of this conditional statement is q→p. The…

Q: b) Write the contrapositive and the converse of: p^q = pV¬q

A: given statement: p∧q⇒p∨¬q We need to find the contrapositive and converse the given statement:

Q: Let A = I like blue, B = I like green, C = I will buy dress. Premises: 1. If I don't like blue or…

A: Given: A denotes "I like blue", B denotes "I like green" and C denotes "I will buy dress". 1. If I…

Q: * If HO: u=30 HA: µ #30 O HA: μ 30 Ο all above O dont of them O

A: Given  Null hypothesis Ho: μ=30

Q: (g) Suppose a person claims that, "1.9% of all people in the nation always eat out Is this a…

A: Inferential statistics allows predictions based on the data where as descriptive statistics provide…

Q: 5. Show that (¬ p V q) → ((p ^ ¬q) is a tautology.

A: Question 5 is wrong, two modifications possible: Either write contradiction in place of Tautology or…

Q: Evaluate /s in" xdu by seduction formalu

A:

Q: What is the contrapositive of the followir (NV-0) M M →((NAO) (-NAO) O-MyN) (-M VN) GN VONH> M M…

A: Given statement is N∨¬O→M. The given statement means that the expression N and negation of O…

Q: 3. Write the contrapositive of: Va eZ, if 6|a then 2|a and 3|a

A: 3) We are given a conditional statement as- “If p then q.” A conditional statement consists of two…

Q: Let (M) be the statement: "It will stay whenever it is for our good". The contrapositive of (M) is

A: Since the contrapositive of a statement of form 'if p then q' is of form 'if ~q then ~p '

Q: 13 - Which of the following is not a Tautology? I) q-> (p->q) II) (not p) -> (p->q) III) (p and q)…

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Q: 4. If P is transitive, then P-1 is transitive. 5. If P and Q are reflexive, then POQ is reflexive.…

A:

Q: Give the contrapositive statement of  "If today is my free day, then i will visit my grandmother"

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Q: Note that “a sufficient condition for s is r” means r is a sufficient condition for s and that “a…

A: The given statement is “A sufficient condition for Jon’s team to win the championship is that it win…

Q: Which of the following are not statements? O (11)(13) = 143 OC A16 > 2768 O2? + y? = 25 O110112 +…

A: Statement is something stated which is either true of false but not both.

Q: 1. Show that the following set of sentences is inconsisten in SD. a) {A Ɔ (B & ~ B), A} b) {A = ~ (A…

A: We have to show that the given sentences are inconsistent

Q: 5. Negate the following statements.

A: nagation is used in mathematics to determine the opposite of a mathematical statement  therefore the…

Q: Write the negation of the following statement.  1.Everybody loves discrete math.   2.All students…

A: This question is related to Descrete Mathematics

Q: 4. Negate each of the following statements.  a) ∀x ∃y ∃z, q(x, y, z)] b) ∃y ∃x ∀z, p(x, y)

A: Convert "∃"  to  "∀". Convert "∀"  to  "∃". Take the negation (~) of the given statement.

Q: 4. Suppose the implication "R = S" is false. What does this mean about statements R and S?

A: Solution: Suppose the implication  R ⇒ S which is given that false That means the statement R can…

Q: Determine whether the following is a valid translation from the English sentence to predicate logic.…

A: In this question, concept of predicate logic is applied. Predicate Logic The study of Predicate…

Q: Which is the contrapositive of A==> B? (a) B ==> A (b) -,B ==> A (c) -,B ==> -,A (d) -,A…

A: Which is the contrapositive of A==> B?

Q: (c) Find the contrapositive of the statement, "If the white flag is flying, then truce has been…

A: The given statement is "If the white flag is flying, then truce has been declared" If the statement…

Q: Rewrite the statements in if-then form in two ways, one of which is the contrapositive of the other.…

A: We need to rewrite the statement in if-then form in two ways, one of which is the contrapositive…

Q: 3. Determine if the following argument is valid or invalid. State if va or fallacy used to support…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: Use DeMorgan's laws to restate the given statement in an equivalent form. She did not visit France,…

A:

Q: Determine whether the following are tautology, contradiction or contingency 1. If I will bring my…

A: Tautology :  A statement is true by necessity or by virtue of its logical form.  * The saying of…

Q: Evile ng Iterain by Purts, wubitation, or both if ncesary. tse wymholie ntatinend fracties whee…

A: Consider the given integral: ∫sinln12xdx Substitute ln12x=u: Therefore, 112x×12dx=du1xdx=du Hence,…

Q: write the contrapositive of: "if the earth is red, then the sky is black."

A:

Q: Consider the following Tarski world: b d A h i k Predicates exist as follows: Blue(x) means x is…

A:

Q: Given the following statement: London is bigger than the capital of France Then the predicate part…

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Q: 5 Evaluate The following Ja-ax

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Q: 8. Show that ¬(p → q) V (-p + ¬q) is a tautology.

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Q: Let ancl be two comple mat xices for thera Xespective epeation anc! theis respective ConJugate.…

A:

Q: Suppose you know that for land i 4 thc output is 1. What type of logical gate is in the "box ?

A:

Q: 3. What is the contrapositive of the following statement? If you live in Roanoke, then you live in…

A: Given a statement : If you live in Roanoke , then you live in Virginia. We have to find the…

Q: the following is true? nswer: FLEX course has a real teacher in it, but that teacher might be…

A: As teacher teaching online nowadays have feedback available about them and you can also clear your…

Q: 3. Write the contrapositive of: VaeZ, if 6|a then 2| a and 3| a

A: The given statement is, ∀a∈ℤ, if 6a then 2a and 3a The objective is to write the contrapositive of…

Q: Suppose that A ==> B is true. Which is then automatically true, the converse or the…

A: Suppose that A implies B is true. The converse of implications, A → B will be written B → A . The…

Q: the statement Pv~(P^Q) IS tautology not tautology Skip neither tautology nor ontology

A: Tautology lagical statement

Q: Discrete

A:

Q: A conditional is a statement that contains a conjecture O True O False

A: A statement that can be true or false but not proven is a conjecture. A conditional statement is a…

Q: Use the contrapositive to rewrite the statements in if-then form in two ways. Doing homework…

A: Recall that “If P then Q” means “P is sufficient for Q” and “Q is necessary for P” to happen.…

Q: Construct a Venn diagram to determine the validity of the following argument. 1. All professional…

A: It is given that all professional wrestlers are actors.

Q: Any time you see A, B, or C in any of the quiz questions, those statement letters are true. Any time…

A: True

Q: IF I bas tee ditribuctfion Mo 7) aod Y has disbibutim K eo ohat B tee dotributim' of 6) deter ne tee…

A: Given  Z~ N(0,1) and Y~ chisquare with 4 degree of freedom Find the distribution of U (a) U = 3Z…

Q: ind a proposition that is equivalent to p→ q, but that uses only the connectives –, A, and v.

A:

Q: 11. Give a counterexample to the statement |AUB| = |A|+|B|.

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!