Q: a. Write the converse and contrapositive of the proposition “If the machine of my car has no defect…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want…
Q: Which postulate justifies the statement AX + XC = AC?
A: Given- To find- The postulate which justifies the statement AX+XC=AC.
Q: Give the contrapositive of "If all figures are four-sided planes, then figures are rectangles.”
A:
Q: (i) Væ(L(x) → M(x)) (i) Va (L (τ) Λ Μ(τ) ) ( ii ) - Vr (-Μ (π) + -L(π) )
A: Given L(x): x is a lion M(x): x eats meat. We shall translate the given predicate logic into English…
Q: LetP(A) = 0.10, P(B) = 0.20, and P(A∩B) = 0.02. Are A and B mutually exclusive? Justify your result…
A:
Q: aNoithe ride are notone 6.Yes; AABCaAXYZ bysfssimilarity Yer, SABCAXYZ b ASAA IMLLARITY b.Yes; A…
A: Solution: We have two Triangles ABC and XYZ For the above triangles they didn't give any angles…
Q: If x = 4, y = 6 and z = 2, then !(x > y) || (x == y) true or false?
A: This is a problem of java script logic.
Q: Let 1 -2 1 -1 -3 1 3 A = -2 -1 1 -1 3 1 3 -4 Then nullity (A) 1 4 2 None 3
A: Let A=10-2100-1-313-2-11-130130-4
Q: Find the null space for A. 2 -6 A = -3 1 -3 null(A) = spane
A:
Q: True or False: By the transitive property, if x=y and y=4, then x=4
A: By the transitive property, if x=y and y=4, then x=4
Q: Let Q(x) be the statement "x + 1 > 2x." If the universe of discourse consists of all integers, which…
A:
Q: What is the domain of h- (x) ifh (x) = x2 ? %3D O (00, 0] O (-00, 00) O (-2, 2) O [0, 00)
A:
Q: What is the set of real values of c so that (A) [0, 1] (B) [0, 2] (C) [1, 2]
A:
Q: State the Negation. f is a linear function.
A:
Q: suppose S(x,y) is a predicate indicating student x has taken class y. Express this in English: for…
A: Given predicate is as follows. S(x, y): Student x has taken class y. The given quantification is as…
Q: Q # 2: Show that by using laws of logic (p^(~ (~ pvq)) < (p^q) 쏟 p
A: To prove p∧~~p∨q∨p∧q≅p using laws of logic.
Q: The negation of the statement Vx:x²+9 100 O b. (3x:x2 +9 100
A:
Q: Evaluate (A = (B = C)) = ((A ^ B) = C). O Contradiction O Tautology О АЛВ
A: We will find out the required value.
Q: Prove or disprove: If x and y are real numbers with y 2 0 and y(y + 1) < (x + 1)², then y(y – 1) <…
A: We have to prove or disprove that if x and y are real numbers with y≥0 and yy+1≤x+12 ,then yy-1≤x2.…
Q: You meet two people, A and B, from the island inhabited by knights and knaves. Knights tell only the…
A: Trying out all the possibilities A is knight ,B is knight ,then the sentences told by both of them…
Q: 2. Which is the main connective of the following sentence: -(F-G)→ H A. - B.. C. → D. O
A:
Q: the A= {1,2,3} is equal to the set {x: (x - 3)(x2 - 3x + 2) = 0} True O False
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Q: The transitive property of equality states that if AB = BA, then BA = AB. %3D %3D O True O False
A:
Q: Insert , or = in the appropriate space to make the following statements true. 1. 8 10 2. 7 2 12 4. 2…
A: Given,
Q: Are the following pair of sets equal ? Give reasons.(i) A = {2, 3},…
A: A = {2,3 } B = {x : x is solution of x2+ 5x + 6 = 0} x2+ 5x + 6 = 0 x2+3x+2x+6=0 x(x+3) +2(x+3)=0…
Q: D. Write TRUE or FALSE on the space provided before each number. _6. x € {x, y, z} _7. x {{x}, {y},…
A: We have to check whether given statement is true or false.
Q: Find a denial (or the negation) for " (3!x)P(x)".
A: To find a denial(negation) for "∃!xPx".
Q: It is believed that a candy machine makes chocolate bars that are on average 5g. A worker claims…
A: Given : Claim : The machine after maintenance no longer makes 5g bars on average.
Q: The problem constraint arising from licensing restrictions has the form ax + by Oc, for some values…
A: We have to find the values of a,b,c, and the sign.
Q: (j) If the indicators IA, IB satisfy P(IA > IB) = 1/2, and A, B are mutually exclusive, then P(A) =…
A: Given data: P( I a > I b ) = 1/2 A , B are mutually exclusive
Q: A square and rectangle are both equallateral True or false
A: False. Square has 4 equal sides But in rectangle opposite sides are equal
Q: O Evaluate (u) B(3. 5). (b) B(3/2.2). (c) B(1/3. 2{3).
A:
Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…
A: ( i ) a - (b • c) = ( a - b ) • (a - c ) fo all a , b , c belongs to real number R We show that…
Q: If z/w = 6 - j8 when z = 22 + j4, what is the argument of w?
A: To find The argument of w.
Q: Find the null space for A. 1 A = -3 -4 -1 6 -6 null(A) = span 2.
A:
Q: a) b) Negate and simplify the following statement in symbolic form. *xx.y [((x>0)^(y <0))-(xy <0)]…
A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…
Q: 1) 2*•23 - 25 2) 2* = 2 3) 4) x+y=-3 5) 24 • 2* = 26 6) 2* • 2 = 23
A:
Q: Let P(x,y) denote an arbitrary predicate where x e {a, b, c} and y e {1, 2}. What is the expanded…
A:
Q: Consider the claim: (x € N)(3 y E R)P(x, y) = (3 y E R)(Vx € N)P(x, y). 1) What is the domain of the…
A: Given claim is ∀x∈ℕ∃y∈ℝPx,y≡∃y∈ℝ∀x∈ℕPx,y
Q: Which is the main connective of the following sentence: -(FG)→ H A. - B.. C. → D. O
A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: Let the universe of discourse be the set of real numbers. Find the negation of the statement ( for…
A: If a statement is true, then the negation is false.
Q: All empty sets are .A Not equal .B Equal .C Positive
A: All empty sets are equal.
Q: 10. Translate the statement into English, where R(x) is "x is a rabbit" and H(x) is "x hops" and the…
A: We have to translate the given statements.
Q: Insert , or = in the space provided to make a true statement |- 10| |-3| |- 10|-31
A: Simplification
Q: The statement represents a claim. Write its complement and state which is H 0 and which is H A. σ…
A: We have to find hypothesis.
Q: Which of the following sets are empty sets? (a) {x | x is a real number and x^2-1 = 0} (b) {x | x…
A:
Q: let -- -3 - 3 - 1 A - 3. Hhe Fud of orthenormal bum of coluann spul
A:
Q: 25. Which of the following satisfies - 2 = 1 i) v= 2 ii) v= 6 iii) v= 10 iv) v= 30
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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- In a group of 200 college students, 138 are enrolledin a course in psychology, 115 are enrolled in a course insociology, and 91 are enrolled in both. How many of thesestudents are not enrolled in either course? (Hint: Draw asuitable Venn diagram and fill in the numbers associatedwith the various regions.)A California study concluded that following 7simple health rules can extend a man’s life by 11 yearson the average and a woman’s life by 7 years. These7 rules are as follows: no smoking, get regular exer-cise, use alcohol only in mo deration, get 7 to 8 hoursof sleep, maintain prop er weight, eat breakfast, and do not eat between meals. In how many ways can a personadopt 5 of these rules to follow(a) if the person presently violates all 7 rules?(b) If the person never eats between meals and always exercises daily?Standard license plates for passenger vehicles in California are of the form NMLMXXX where N is any digit except 0, X is any digit, L is any uppercase letter and M is any uppercase letter except I, O and Q. What is the minimal number of California licensed vehicles that need to be parked in a parking structure to guarantee that there are ten vehicles with the same first digit, last digit and the first letter in their license plate number? Assuming that all combinations of letters are allowed, what is the minimal number of vehicles in the structure that guarantees that at least ten have the license plate number beginning with 1, ending with 6 and having the first letter P?
- A $150 eReader comes with a warranty from an electronics business that covers theft (T) and accidental damage (AD) . Due to the high expense of repairing an eReader, it is more cost-effective for the business to provide the customer a complete refund to go toward another one. There is a 5.1% possibility that an AD (Accidenal Claim) claim will be made in any given year. Assume there can only be one claim made (not one of each type).Customers who report an eReader as stolen will get a reimbursement for 80% of the item's full price. A Theft (T) claim is likely to be submitted 3.5% of the time in any given year.What is the anticipated financial benefit or loss for the firm on each contract if the warrantee costs $15.95 for a year?(NOTE: Keep in mind that regardless of whether a claim is made, the consumer will pay for the warranty upfront.)determine if onto or one to one?a person can order a new car with a choice of 6 possible colors,with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be orderded with regard to these options.
- There are 26 letters in the English alphabet. How many ways are there of ordering the letters so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both acceptab;e)?Ifn(A)=5,n(B)=11and? ?∩? =3,whatis? ?∪? ?How would you write a formal proof for if AnB = B then B is a subset of A?
