The amount of time required to assemble a component on a factory assembly line is normally distributed with a mean of 3.5 minutes and a standard deviation of 0.7 minute. Find the probability that a randomly selected employee will take the given amount of time to assemble the component. (Round your answers to four decimal places.) (a) more than 4.3 minutes (b) between 2.5 and 3.2 minutes

Q: The table below shows the probability distribution of student ages in a high school with 1500…

A:

Q: 4. Find the product AB, where a) A= 0 -1 -1 --1.B= -3 2 - 2 -1 03 -1 -3 -2 0 b) A=1 0 -1 B = 2 4 -1…

A: AB=1010-1-1-11001-11-10-101     =-11001-11-11 (b)AB=1-3012221-11-123-103-1-3-202…

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: 3(х+1)- 5 %3 3x -2 - 2

A: We will solve given equation in next step.

Q: 1) V16 2) VT - Vī 3) V27 V27 4) 5) V16 Vī 6) V81 7) -V16 – V-8

A:

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: 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: 6. Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find a) AU B b) AN B c) A - B d) B- A.

A:

Q: 3. | rV3 – adr -

A: We have to find out solutions

Q: 2) tan C B 28 21 35

A: In right angle triangle  tan thetha = perpendicular/Base

Q: 27 b) ´ rīdr

A:

Q: Evaluate the expressions 15! a.) 6! x 5! b.) P(8,4) = %3D c.) C(12,7) = ||

A:

Q: dy +Ydy=e'

A:

Q: 2. Prove: A – B = ANB

A:

Q: .3 , Ry* In y dy

A:

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: uation. 9)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: AC Biff P(A) C P(B).

A:

Q: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

A: Here is the solution

Q: .

A:

Q: -) Which of the following equations is true? 28 + 7 = 4(7 + 7) 36 + 6 = 6(6 + 1). 13+36 = 13(1 + 3)…

A:

Q: Q.2) Evaluate r8-z² 4 dzdydx 0.

A:

Q: Cuudents at Diversity College who are immigrants come from which two countries mostly? UES 3. Number…

A: Here 6 countries are given where the immigrants came from different country

Q: 5 7 8 10 2 3 Let A= and B= . Compute 4 5 (a) AB (b) (AB)"

A: Given A=57810B=2345

Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: 2.1) Evaluate 4-2r dydr

A:

Q: Find the computational value of the sign test using the data below. Xi X ortalama 6 4 4 7 4 3 4

A: Sign test is the non-parametric hypothesis test whether the difference between the medians of two…

Q: 5 4 0 0 ( 1 1 5. Solve; a) 3 b) 0 0 0 1 2 1 - -2 0 0 0 4 5 5

A:

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

A:

Q: If P (B) = 1/4, P (A ∪ B) = 1/2 and P (A|B) = 2/3, then which of the following statements is true?…

A: GivenP(B)=14P(A∪B)=12P(A|B)=23

Q: k GsGe) x Since) X>0

A:

Q: リ ー上 5, Use the inverse imatirice s tofind and (24) 22 3 ミ 3. 3. 3 -2

A:

Q: If A, B, and C are mutually independent, does A and (BNC) mutually independent?

A:

Q: draw (A∪B) ∩C’

A: Draw a venn diagram

Q: iii) | x²cos4x dx

A:

Q: Calculate A. A.B B. A.C C. A-1

A:

Q: Find the coefficient of determination. XY 7 11 12 15

A: Given data, X Y X*Y X*X Y*Y 7 11 77 49 121 12 15 180 144 225 14 20 280 196 400 18 26 468…

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…

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”.