m ∠ 12 = 121 ∘ and m ∠ 6 = 75 ∘, find m ∠ 10.

Q: If P(A) = 0.7, P(B) = 0.4, and P(A or B) = 0.9, find P(A and B).

A: According to the provided information,  P(A) = 0.7  P(B) = 0.4 P(A or B) = 0.9

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: if n(A) = 102, n(A u B) = 157, and n(A n B) = 47, find n(B).

A:

Q: Given M1 = −5, s1 = 4.6, n1 = 72, M2 = − 1, s2 = 3.3, and n2 = 60, calculate t.

A:

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

A:

Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?

A:

Q: If ​P(B)=0.25​,​P(A | ​B)=0.5​0,​P(B′​)=0.75​,and​ P(A | B′​)=0.9​0, find​ P(B |​ A).

A: We have given that P(B)=0.25​ P(A | ​B) = 0.5​0 P(B′​)=0.75​ and​ P(A | B′​)=0.9​0 We have to find​…

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Given P(E or F) = 0.66, P(E) = 0.26, and P(E and F) = 0.07, what is P(F)?

A:

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: Given P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10, what is P(E)?

A: Given : P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: 4. If P(A) = 0.3867, P(BJA) = 04232, and P(A or B) = 0.5381, find а. Р(А and B) b. P(B) с. Р(АВ)

A: Given data,P(A)=0.3867P(B|A)=0.4232P(A or B)=0.5381

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: and

A:

Q: if n(A) = 102, n(A u B) = 157, and n(A n B) = 67, find n(A n B).

A: n(A u B) = n(A)  + n (B) - n( A n B )

Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

A:

Q: If ​P(B)=0.55​,P(A | B)=0.9​0, P(B′​)=0.45​, and​ P(A | B′​)=0.4​0, find​ P(B |​ A).

A:

Q: P(E)=0.60​, ​P(E or ​F)=0.85​, and​ P(E and ​F)=0.05​, find​ P(F).

A: Given : P(E)=0.60​ ​P(E or ​F)=0.85​ P(E and F)=0.05​

Q: Given P(E or F) = 0.04, P(E) = 0.35, and P(F) = 0.26, what is P(E and F)?

A: Given Information P(E or F) = 0.04 P(E) = 0.35 P(F) = 0.26 P(E and F)

Q: If there are 144 A's and 384 B's in 1024 observations. How many (i) AB's and (ii) aß's will there be…

A:

Q: Compute the following.(a) P6, 3. (b) C6, 3. (c) P12, 12. (d) C13, 13.

A: Permutation: The number of different arrangements of ‘r’ elements from a set of ‘n’ elements is…

Q: If P(A) = 0.4 and P(B) = 0.3, Find P(A or B) if A and B are independent.

A: P(A) = 0.4 P(B) = 0.3

Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

Q: if n(A u B) = 97 and n(A) = n(B) = 67, find n(A n B).

A:

Q: a. If mMY =115 and mPY=72, what is mzD? b. If mzD = 35 and mMY = 167, find mPY. c. If mPY = 81 and…

A: The given diagram is

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

A:

Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: Assume that n(U)=90n(U)=90, n(A)=41n(A)=41, n(B′)=50n(B′)=50, and n(A∪B)=63n(A∪B)=63. Find n(A∩B)

A:

Q: If P(A) = 0.3, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: GivenP(A) = 0.3andP(B) = 0.9,do the following:IfP(A | B) = 0.4,computeP(A and B)

A: Given:P(A) = 0.3P(B) = 0.9P(A|B) = 0.4

Q: Given that SST = 270, R ^ 2 = 0.75 and n = 40 , then the value of SSE is : 76.50 57,50 65.70 67.50

A: R  2 = 0.75 SST = 270

Q: If c+ id = (1- iV3), find e and d.

A: Given: c+id=1-i3100 We know that rcosθ+isinθ=reiθ…

Q: AS B iff (B n C) U A = B n (C U A)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: If n=10 and p=0.7, find P(x=8)

A:

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

A:

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

A:

Q: If P(A) = 0.2, P(B) = 0.2, and P(A and B) = 0.1, find P(A or B).   P(A or B) =

A: Given data, P(A) = 0.2 P(B) = 0.2 P(A and B) = 0.1 P(A or B)=?   P(A or B)= P(A)+P(B)- P(A and B)…

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Compute the following. (a) P9, 3. (b) C9, 3. (c) P9, 9. (d) C10, 10.

A:

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: If P (A) =0.56, P(B) = 0.6, and P(A and B)=0.41, find P(A or B). or

A: We have to find given probability

Q: If P(A) = 0.36%, P(B) = 0.61%, and A and B are mutually exclusive, what is P(A ∩ B)?

A: We have given that,  A and B are Mutually exclusive events and P(A) = 0.36%, P(B) = 0.61% then,  We…

Q: If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.7, find P(A and B). P(A and B) =

A:

Q: Given P(E or F) = 0.06, P(E) = 0.15, and P(F) = 0.44, what is P(E and F)?

A: Solution: From the given information, P(E or F)=0.06, P(E)=0.15 and P(F)=0.44.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.