Locate the centroid (a, y) of the area.(Figure 1) Part A Locate the centroid a. Express your answer with the appropriate units. HA Value Units Submit Request Answer Part B Locate the centroid y. Express your answer with the appropriate units. y = Value Units Figure < 1 of 1 > Submit Request Answer Provide Feedback 1 m -2 m

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: 1. Show that dz Answer:

A:

Q: f xe"; f C1)

A: Consider the given function as fx=xex

Q: P WI or 2.3 25 5) ४ 4 5 3

A:

Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: 34 ot fle). 1 z(z* 1) (z-2)²

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

Q: (A) In y

A: The detailed solution is as follows below:

Q: 27 b) ´ rīdr

A:

Q: I Cimpute-he the following bylk matnin detexminant 4 3 3 6 4 2

A: Let A be the given matrix - A = 1111123413610141020A =…

Q: 3.) Is the following Credit Card number valid? 4716 5868 1970 2056 1) Find the check digit (d) for…

A:

Q: Rrove the other distributive oddi tion Geed t property of (+d) A= cA+ d A

A: Distributive property of addition is given by . It is used in case where terms inside the…

Q: f P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P…

A: Given that  P(A) = 0.18,  ;  P(B) = 0.35  ; P(A ∩ B) = 0.07 ;    We know that By addition theorem…

Q: A dinner club has 30 members. At a particular dinner, every club member gets to order exactly 3…

A: There are total 30 members, and each member gets to order exactly 3 different items. Thus, the total…

Q: Find the following

A: Integrate the function (v2-e3v) with respect to v to find the required one. Integration of the…

Q: 4.) Determine the following combinations: d. 6 C 3 e. 8Cs f. 7 Co

A:

Q: QI Let x be anon- empty, Show that whetharn (Pcx), n) sa grouPor not ?

A: Explanation: Let X = 2, 3 Then PX = ∅, 2, 3, 2,3 For  A∈P(X) and B∈P(X),  A∩B ∈ P(X) That is, P(X)…

Q: 28) Find the GCF and LCM for 23 313 532 and 25 323 513

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Q: fond the dertive YfY-V5R-47

A:

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

A:

Q: 10 8 8. 6. 4. 4. 12 12 4. 4. C 8. 3 10 10 Which is similar to X? 5. 3.

A:

Q: could you explain if option 14 is correct: the one attached

A: As per the question, we are tasked with minimizing the cost of meeting daily workforce demands for…

Q: A card is pulled from a standard deck of 52 playing cardsFind the pratiability of each of the…

A:

Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

A:

Q: If X-N(50,10), P(X > 65) = ? O 1) 0.067 O 2) 0.033 3) 0.168 O 4) 0.832

A: The z-score can be calculated by subtracting the population mean from the raw score, or data point…

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

A:

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: FROBIEM 1: Calculate the following Integrals. 12/2

A:

Q: 7. How many ways can you reflect the following figures onto itself? a. Regular heptagon (7 sides) b.…

A: Given, Regular heptagon(7 sides) Regular octagon(8 sides)

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a4 (a) In 63c4 Preview (b) In Va*b*cT…

A:

Q: B: Evaluate the following: 1- r (4)r

A:

Q: Eve pression ung ues given in the e -2 ige-

A: We know, (f∘g)(x)=fg(x)

Q: Let A= 130 O 1 o 391 ダメ %3D (AT)! A+AT %3D コロ

A: Given- A = 130010391 To find-  A-1 AT-1 A + AT

Q: Compute the following combination: C(13, 6)

A:

Q: If n(B) = 415, n(AN BNC) = 120, n(An Bn C) = 145, and n(ACnBn C) = 125, what is n(ACN BNCC)?

A: Topic - Sets We are given that n(B) = 415n(A∩B∩C) = 120n(A∩B∩Cc)=145n(Ac∩B∩C)=125

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.