About the subsets A⊂B⊂CA⊂B⊂C of a universal set UU, except assume that n(A)=5n(A)=5 and n(C)=11n(C)=11. (a) In how many different ways could you select BB if n(B)=6n(B)=6? b) In how many different ways could you select BB if n(B)=7n(B)=7?

Q: 4. Write out the following sets, and give a formal proof that set-builder notation expression (as…

A: The set builder notation is given as, {x∈ℝ: x2=x} × {x∈ℕ : x2=x} As in the case of real numbers all…

Q: D. Let A, B, and C be subsets of some universal set U (a) If ANBC C and A° N B C C, prove that B CC

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Q: If n(A ∪ B) = 10, n(A) = 2 and n(B) = 12, then find n(A ∩ B).

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Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: Suppose a and b are positive integers and 2021 α 2022 2022 b 2023 If s is the minimum value of a+b,…

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Q: (e) ((SNT)US) (f) U-S (called the complement of S) Given that the set S contains n elements, show…

A: To show that a set S with n elements has 2^n subsets, you can use the concept of the power set. The…

Q: Let A, B, and C be subsets of a universal set U and suppose n(U)= 150, n(A) = 22, n(B) = 24, n(C) =…

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Q: Find, if possible, the number of elements in sets A, B, and C using the given information: n (C…

A: Refer to the question. Use the venn diagram method to solve this problem.Now here n(A intersect B)…

Q: In each of the cases below, determine whether the set U; is open or not, and briefly justify your…

A: (i) The given set is U1=z∈ℂ; z<1 and z-1<1 and z-i<1. Define:…

Q: A={ y ∣ y ∈ N and 305< y ≤ 335} A has      subsets.  A has              proper subsets.

A: We have, A={ y ∣ y ∈ N and 305&lt; y ≤ 335} Let A and B be two sets. We say that A is a subset of B…

Q: (1) If A is an uncountable (2) Z† × Z is a countable set. Select one of the following choices: set…

A: A countable set is a set that can be put into one-to-one correspondence with the natural numbers…

Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: The set builder form of {-1,0,6} i . none of the choices O {x : x € R and a is a solution of x + 5x?…

A: The given set is -1, 0, 6. All the options has polynomial. So, the polynomial with roots -1, 0 and 6…

Q: Given a set of letters X = T, S, U (i) show all possible arrangements of the letters and (ii) count…

A: Given that: Given a set of letters X = T, S, U. To find: (i) show all possible arrangements of the…

Q: Find P(C1)  l. Find P(V4)  m. Find P(C1 ∩∩ V4)

A: As per guidelines we are allowed to solve maximum of 3 sub parts If you need help with other…

Q: Let S = {1, 2, 3, 4, 5, 6, 7, 8}. (a) How many nonempty subsets of S are there? (b) How many subsets…

A: The given set is S=1,2,3,4,5,6,7,8. (a) We need to find the total number of nonempty subset of S.…

Q: In the following list, select all the correct statements, if (4,) is a poset and for any elements…

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Q: A = {n EU | n is odd} and B = {n € U | 2n + 1 is a prime number}. Compute the size of the following…

A: Given Information: U=1,2,3,4,5,6,7,8,9 A=n∈U | n is odd B=n∈U | 2n+1 is a prime number

Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: If A = {1} and B = {1, 2, 3, 4, 5} , then which of the following is(are) true? Choose one answer and…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.