(a) Find P(A1 U A2 U A3) (b) Show that P(A1 U A2 U A3) = 1-(1-1/3)^3

Q: In ABCD, mZB = (4x – 14)°, m2C m/D = (6x + 8)°. What is the value of ? x – 1)°, and -

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Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: If 5(z + 1) = 3(z + 2) + 11 Solve for Z a. 2b. 4c. 6d. 12

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower…

A: n=348,X=31,p=0.13α=0.01

Q: Exercise(6): (1) Solve the following Cauchy-Euler differential equations: (a) 4r y" +4.ry-y = 0.

A: Solution:

Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: a)   The distribution of M is constructed below:   From the given information, X and Y are…

Q: 3 y 9 X

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose A = {-1,0, 1} and B = {d, e, f}. Find: а. ВхА b. Аx (Вx В) С. Вз

A: We will find answers to all the parts as following.

Q: 7. Find the value of x. (3x-7)° x+15) 289

A: To find: The value of x. Concept used: Exterior angle property: The sum of opposite and non-adjacent…

Q: Find a value of b > 0 that makes

A: Improper integral is a definite integral with either the lower limit as infinite, the upper limit as…

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: Find the point 2/3 of the way from (−6, 6, 5) to (−8, −8, −5). P=(??,?)

A: Here we have to find the point 2/3 of the way from (-6,6,5) to (-8,-8,-5).

Q: If JL = 5x + 1 and MK = 8x - 32, find JL %3D and NK. M JL = NK =

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Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: y= 2x5-3, find y"" O 10x4 O 120 x² O 40x³ O none of these answers

A: To find derivative

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

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Q: 12. Find m/R. (&x - 12) (3x + 5)

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Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The provided information is:

Q: If B = exp(r - 2), what is VxB?

A:

Q: Solve the second order. Dieg - Ý - ý syes 1 39

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Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Solve for x: 3* - 6(√3)* 27 = 0

A: We see     3x - 6(√3)x - 27          = (√3)2x - 6(√3)x - 27          = (√3)2x - 9(√3)x + 3(√3)x - 27…

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

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Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

Q: A = p + prt for r ( banking)

A:

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

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

Q: 15. Find mzN. (8x+17) (12x-39)

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

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…