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Q: O A. В. 68% 68% 68%. 95% 95% 95% 99 7% 18.5 21.6 24.7 27.8 30.9 34 37.1 99 7% 9.2 15.4 21.6 27.8 34…

A: As per our guidelines, we are allowed to answer first three sub-parts. Thanks We know, the empirical…

Q: s at least one real eger with an even : n of any two even

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Q: Identify the following set as finite or infinite. x|x is a rational number smaller than 3} Chooro

A: Given set { x | x is a rational number smaller than 3}

Q: As an example of bounded interval is Select one: O [5, 00) O (-∞0,5] O (-5, 5) O None of the above…

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Q: 4. Give an example of a non-measurable subset of R. (witheutProof)

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Q: By considering the collection of closed intervals {[1- 2+ :n € N}in R, show that the union of an…

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Q: - 85, o=8, and n 64, construct a idence interval estimate of the popula-

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Kample tetx be Let X€2Z. Prove that for cveri integer n2 , x^is cuen × is aven 2.

A: Yes, for n greater than or equal 2(n is a positive integer) if x is even then x^n will also be even.…

Q: The number ways in which leters. f the word Pananged of in which letters PARET Can be So that R is…

A: Given, PARET- all letters are different number of letter in PARET=5

Q: 2. Use the SSS Similarity Theorem in writing an if-then statement to describe the illustration or in…

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Q: What is the class width (i) if one of the class interval is 18-26?

A: If class interval given is 18-26 The class width is difference between upper interval and lower…

Q: 5. Let S be a set of negative numbers. Prove the least upper bound of S cannot be positive.

A: To show that the least upper bound of a set of negative numbers cannot be positive.

Q: onstruct the difference table and find the plynomial that fits the set of points (1,8), ,12),…

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Q: set X. Determine the of 1 x generated by

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Q: M={all numbers of the form 2^n , for n is a natural number} is the set closed under addition?

A: It is given that, M={all numbers of the form 2n , for n is a natural number}   Note that, a set is…

Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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Q: Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: The sine distance between two points x,y∈ℝ2 is defined as: dsinx,y=x.yxy and the cosine distance…

Q: 9/State the Sufficient condition for the best apfraximation ant Prove t

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Q: Let U = (0, 1) U (2, 3) U (4, 5) be a union of three open [0, 10] \ U. Show that A is compact. 2.…

A: Que  Ans : given         U = (0,1)U (2,3) U (4,5)  be unian              of 3 open sets    A= [0,10]…

Q: )Is 6 consistent for 0?

A: part D) Condition for consistency: Pθ^-θ≤∈→1 as n→∞. From the given information, H=αβ Therefore,…

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: (b) Evaluate de using Simpson's one third rule with 6 intervals.

A: Given-             ∫031x3+4dx. Evaluate Using Simpson's one third rule with 6 intervals.

Q: Find the expontial functhion that passes through the points (2,6) and (3.1)

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Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: Let S be a nonempty bounded set containing a sequence of rational numbers. Provide an example such…

A: We will construct a set S which is bounded and contains a sequence of rational numbers such that the…

Q: Write the set of points from -2 to 2 but excluding 0 and 2 as a union of intervals:

A: To Find: Set points from -2 to 2 excluding 0 & 2 as union of intervals.

Q: If x>-I show Hhat Cl+x)> \+nx ,H

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Q: Show {5, 10, 15, 20, - - ·} is countable. (Hint: Use the function f(n) and onto). = 5n and show it…

A: 4 Given set is 5,10,15,20,....... We have to show that the set 5,10,15,20,...... is countable. Let a…

Q: 4. Give example of a non-measurable subset of R. (witheut Proef) an

A: Second question is independent of the first question. As per the guidelines I am answering the first…

Q: Let D be digraph. If id(x) > 0 for all x ∈ V (D), then D contains a circuit.

A: Given:- Let D be digraph. If id(x) > 0 for all x ∈ V (D)

Q: The set of elements in (- ∞, 9) or (- ∞, 12) or in both sets is________ . This represents the_______…

A: The set of elements in -∞, 9 or -∞, 12 or in both sets is________ . This represents the_______ of…

Q: Let a ∈ R. Give an example of sequence of nested intervals of each of positive length such that the…

A: To find  an example of sequence of nested intervals of each of positive length such that the…

Q: every en the sufficient atistic is indepen

A: 1) we can say that every function of T statistics is complete if and only if a function like Eg(T)=0…

Q: List the elements for the given sets {x|x is a perfect square FROM 1 to 10} {x|x is an integer…

A: Set: A well-defined collection of different objects. For example: Set of natural numbers= {1, 2, 3,…

Q: For what values of n will the set of ordered pairs {(1,5),(2,4),(n,3),(n+ 1,2),(n + 2,1)} represent…

A: Domain It is a collection of the first values in the ordered pair (Set of all input (x)…

Q: 8. Let {Ia: a E J} be an uncountable collection of nonempty open intervals. Show that for some…

A: Note: According to Bartleby guidelines, for more than one question asked, only the first one is to…

Q: Every increasing seqeunce has no peaks. O True False

A: Solution is given below : Statement is true

Q: Let C be the set of natural numbers greater than 5 less than 15. Write C using the descriptive…

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Q: Let gER. GRVE an example of nested intervals of eoch of positive length such that the intersection…

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Q: Consider the set consisting of the first 12 positive whole numbers (i.e., 1–12). Determine…

A: Solution: We are given that the set consisting of the first 12 positive whole numbers (i.e., 1–12)

Q: n Show that (") = (,“,) n-r.

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Q: let a∈R. give an example of nested intervals of each of positive length such that the intersection…

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Q: Find the concavity intervals of Cari selang-selang kecekungan bagi f(x) = 2x³ – 9x² + 12x – 4

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Q: find the class interval for a class 6-9

A: Upper limit=9, lower limit=6

Q: Indicate the least upper bound of the following sets. If a set does not have a least upper bound,…

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Q: Two runners start a race at the same time and finish in a tie.Prove that at some time during the…

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Q: If i and i are in R™, then –i is in span {ū, 3}. |

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Q: How many extensions of g to A are one-to-one? How manu ou

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Q: 5. Deduce from (4) that the set {2} 2-: n = 1, 2, 3, ... is closed in R.

A: Given set  S =2 ∪2-1n  :  n=1  2,  3 , . . .