4.lf n(A n B) s 6, n(B) s 20 and n(A U B) s 30, then n(A) s 16. 5.In one study conducted, it was found that 60 people liked coffee, 20 liked chocolate, 10 liked both and 30 liked none. Therefore, the total number of people who were surveyed was 120 people. 6.If p has a true logical value and q has a false logical value, then the logical value of -(p q) is true.A

Q: ) A). B) -1.53 172 -1.67 0 2.35

A: If X follows Normal distribution with parameters as mean (µ) and variance (σ2), i.e. X~N(µ, σ2);…

Q: 10.13. Determine Bª for the sets A = {1,2, 3} and B = {x, y}.

A: See the attachment

Q: 2. Determine in each case whether ACB. Explain each answer in one sentence. (a) A = {0, 2, 5} and B…

A: Answer  A) A is improper subset of B

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

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

Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

A:

Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 2. ar'+b) 2.

A:

Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

A:

Q: Q. 5. Show that "-C, 1+"C, =" C, . n-1

A:

Q: Consider the graph below of the second derivative, f" (x), of somę function f(x). On what intervals…

A: our objective is to check the concavity of function

Q: 5. Let a. Find A-1. b. Find (BA)-¹. A = (6 4 3). -(1) -3 2 B=

A:

Q: 15. Find the quotient of 1.8.10 4 3.6.10 a. 5. 10-6 b. 5. 10-8 C. 5. 10 -1 d. 5 10-2

A:

Q: 9.) Find the value of b² – 4ac, given a = 4, b = 6, and c=-4.

A:

Q: a,1S, 12, 18 (b) an = (2 –)(3 + )

A: We have to find if the series is convergent or divergent.

Q: 3. Determine all the units of Z40 and of Z11.

A:

Q: 2.46. If P (2, 1), u = (4, 2), and ||v|| = 6, determine v.

A: To determine the vector v given that Puv​=(2,1), u=(4,2), and ∥v∥=6, follow these steps:1.…

Q: Consider the graph of the function f(x) shown below. (Click on the graph for a larger version) A.…

A:

Q: 1. F({{a,b},{c}) 2. (1,2.3.4}) 3. P({{0}.5})

A: Note: Since you have asked multiple questions, we will solve the first three question for you. If…

Q: 3.20) what is the remainder when 1s+85+...t100s is divided by4?

A: Given 15+25+....+1005 is divided by 4

Q: by Gaclening 2.

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Q: 6 Find (x + y) dydx.

A:

Q: 5) 3x + 5 > 17 or 4x + 5 < 21

A: We have to solve

Q: Which Decimal Squares best describe the following computations? a. 0.3 + 0.45 = 0.75 b. 0.350 – 0.2…

A: In a 10×10 grid, one of the smallest square has value 0.01. If the 10×10 grid is divided into 10…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.