Consider a single roll of a die. Define sets (events): A = {2 ≤ outcome ≤ 5}, B = {outcome ≥ 3}, and C = {outcome is odd}. Specify: a) The sample space S. b) A ∪ B and C ∪ B c) A ∩ B ∩ C d) (A ∩ B) − C e) (A ∩ B) c ∩ C c

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A: Suppose the trapezoid is made from four loose prices of spaghetti on the table. 

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A: We have to find the length of the pendulum.

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A: We need to find two points and draw graph.

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A: 1)a) Since opposite sides are equal in parallelogramSo, YZ=WX=18YZ=18b) Since in a parallelogramv di...

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A: A toy manufacturer needs a piece of plastic in the shape of a right triangle with with the longer le...

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A: Given problem:- Find the parametric equations of the line contains point P (2,-1, 2) and tangent to ...

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A: use the equation of line given in the question .

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A: The given statement is  Seven subtracted from a number is 0  

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A: It is given that player get sucess in his throw 4 out of 24.    that means probablity of success is ...

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A: City 1's total sales is 76 × 220 + 73 × 346 + 61 × 126 + 66 × 1971 = 179750 i.e. 179.75 thousand dol...

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Q: Find the determinant of the matrix given below using Pivotal Element Method (use element a11) 1 7 -5...

A: Explanation of the answer is as follows

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A: This question can be solved using the basic definition of one one function and its condition.

Q: (d) h : [2,3) → [0, ∞), h(x) = I-2 3-r

A: follow the given below procedure. 

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A: Given

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A: Total fencing available is 180ft , from the figure we can write       x + y + x = 180            2x ...

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Q: Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

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Q: Find a basis for the eigenspace corresponding to each listed eigenvalue. 6. 2=1, 2 A = -2-2 CCL A ba...

A: For finding eigenspace , find A-λI x = 0 , where 'λ' is the eigen value and x is eigenvector.

Q: VT-x- 5 | f(x) = 6.

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Q: Problem 21. Prove that a real number y is computable if and only if there is a computable function f...

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Q: Solve the problem. Let v1 =|-3 |, V2 = 8, V3 = -2 -8 Determine if the set {V1, V2, V3} is linearly i...

A: Let, a,b and c are constants such that: av1+bv2+cv3=000⇒a1-31+b-38-5+c2-2-8=000⇒a-3b+2c-3a+8b-2ca-5b...

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Q: %3D f(x+h)- f(x) For the function f(x) = 6-x, construct and simplify the difference quotient h f(x+ ...

A: We have f(x) = 6-x2 

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Q: Find the vector that parallel to the intersection line of two planes 2x + y- 3z 2 and -x+2y-z=1.

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Q: Given the graph of the Logarithmic Function g(x) = log, r: The graph of the function f(x) = log,(x –...

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Q: 30. We want to determine whether f(x).=3x– 6 and g(x) = x- 2 are inverses. 30а Find f(g(x)). f(g(x))...

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Q: Consider the following function. 3 V k(x) = 2 Step 2 of 2: Find two points on the graph of this func...

A: topic- coordinate geometry

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Q: 3/5-4

A: These can be added by taking LCM of denominators of both fractions.

Q: %3D Find the 12th term in the arithmetic sequence an = 3 – 6(n – 1). O-33 -63 O -36 -69

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A: Solution: Let x be the number of teachers.