Q15. Which of the following statement is true? < I. p + q = p + q when p≥ 0 and q ≥ 0< II. |pq|lp|lq| when p ≤ 0,q ≤ 0 and [p] ≥ |q|< = III. |pq|≤||pl|al| (a) I and II are correct (b) II and III are correct (c) I and III are correct

Q: 3.Determine the intersection X ∩ Y. Express the  in interval notation. X = {x/ x>equal 8} and Y =…

A: We have: X=x  x≥8=[8,∞)Y=x  x&lt;7=(-∞,7)

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

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Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Let the universal set R, the set of real numbers. Let A = {x = R | 1 ≤ x6} {x = R | x 6} {x ER 1≤ x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table. Bin(6,0.5) P(x <= 5) = Σ = 0.882 5 6…

A: The values of Binomial and Poisson distribution are given in the parts.

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Q: 2. Find p and q such that 7x+1 5 |5x-1|≤4 implies p ≤: <q

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Q: Determine whether each implication that follows is true or false. Use graphs to justify any…

A: (13) Solution: We have given that 0 &lt; x-2 &lt; 1  then we have to find out, x2-4&lt; 0.5 is true…

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Q: Consider the sentences Vx3yP(x, y) and 3yVxP(x, y). Are these sentences true or false under the…

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Q: A and B are sets of real numbers defined as follows. A-(: |2> 2} B-(: |258} Write AnBand AUB using…

A: Solution:   Given that A &amp; B are sets of real numbers such thatA = z | z&gt;2B = z | z≤8

Q: Find all z belong to C sastifying the given equation or inequality J (b) |z5|+|z+1|≤|z2| -

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Q: IfX~N(7,4), the P(15.364 ≤ (X-7)² ≤ 20.095) is

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Q: need help

A: The objective of the question is to find the set of numbers x that satisfy the condition |8x − 4| ≤…

Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

Q: Eng. analysik By:- ATheer Sale h hect.No.7 Exercises finad favier sexies for the fellouling function…

A: Since you have asked for a multiple question, we will solve the first question for you. If you want…

Q: Find all values of 8 >0 such that |-2|< 6 ⇒4r-8 <3 Your answer should be in interval notation. Make…

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Q: 3. Suppose x = (5-√3)¹/3. Show that x is a solution of the equation x6 – 10x³ + 22 = 0. Use the…

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Q: 3|5 - x| +2< 14

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Q: Let the universal set R, the set of real numbers. Let A= {x = R| 1≤x6 } {xЄR|x6} O {x ER 1≤x≤6} ○…

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Q: 2x2 + 3r +2 2 +2

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Q: 7. Which of the following statements are tautologies? (Select all the choic that apply) (а) Р —Q (b)…

A: Introduction: When the truth value of a statement is always true, it is referred to as tautology.…

Q: Identify the values of x satisfying both |x - 8| < 7 and [x 10 < 6. (Give your answer as an interval…

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Q: * 10. Let a be a real number and let f be a real-valued function defined on an interval containing x…

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Q: 2. Definition. Let r be a non-negative positive real numbel A square root of r is the Iinique…

A: Note: Square of any real number must be non-negative and addition or subtraction of any two real…

Q: Determine the intersection X ∩ Y. Express the in interval notation. X = {x/ x>equal 8} and Y =…

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Q: 7. Solve the auxiliary equation of repeated roots (4D - 4D3 - 23D2 + 12D + 36)y 0.

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Q: What is the statement x > -9 and x<-1 interval notation? O (-9,-1] O (-9,-1) O 19,-1] O 19,-1)

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Q: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

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Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

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Q: C and D are sets of real numbers defined as follows. C= {z | z>3} D={z | z≤9} Write CUD and Cn D…

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