Jump to level 1 You are dealt a randomly chosen 9 card hand from a standard playing deck. The score S for a hand is 2 times the number of kings minus 5 times the number of clubs. What is the expected value of S? E[S] = Ex: 1.23

Q: The domain for x and y is the set of employees at a company. Miguel is one of th company. Define the…

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Q: (a) State whether the sequence (tn) defined recursively by t₁ = -1, in =l-t3, n22 is an arithmetic…

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Q: Given the following recurrence relation (M). а, — бал-1 — 12а,-2 + 8а,-з + (n+ 1)2"

A: In this question, we have given a nonhomogeneous recurrence relation. The solution of the associated…

Q: What is the coeficient of 3 in the binomial expansion of 2x 233-2 ° -(5)-243-1 3x ?

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Q: A certain type of light bulb has an output known to be normally distributed with a mean of 2500…

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Q: Imagine you're developing a video game where players gather coins in each level. Players begin the…

A: Part (a): Most Highly Skilled PlayerThe most highly skilled player would be the one who gets hit the…

Q: Recall that the product AB of two matrices A = (Aij)1<i,j≤m and B = (Bij)1<i,j<m is a matrix C = AB…

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Q: For the following sorting algorithm, find the number of recursive calls (excluding the initial…

A: The number of recursive calls for RECURSIVESORT({3, 5, 12, 4, 8}, 5) can be determined by tracing…

Q: Out of 500 students at LIU. it is found that 210 students take coffee while studying. 258 students…

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Q: Given the following recurrence relation (M). an = 2an-1 + 3an-2, ao = 5, a1 = 3 %3D Then a, = A(-3)"…

A: The solution is given as

Q: a) Write the proposition for the following English sentence: 1) A) If Benjamin have cough, fever,…

A: For part a) The objective here is to write the proposition for the given statement. (A) If Benjamin…

Q: Given the following linear congruence (H): 2x+1=-10 (mod9). Which among the following is true? O (M)…

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Q: Exercises: Find the solution of each reenrrence relation. an+2 = 4an+1- 4a, with initial terms a,=5…

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Q: The number of positive integers not exceeding 1000 that are not divisible by 8 and not divisible by…

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Q: (a) Show that if a graph has an Euler tour, then the degree of each of its vertices is even. In the…

A: To prove the theorem that a connected graph has an Euler tour if and only if every vertex has even…

Q: QUESTION 4 Six students take an exam. For the purpose of grading, the teacher asks the students to…

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Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Prove the following using a proof by contradiction: The average of four real numbers is greater than…

A: Method of contradiction means we assume opposite to the facts to be proved and then we contradict…

Q: discrete maths

A: Definition used:Proper subset: A proper subset of a set A is a subset of A that is not equal to…

Q: The number of positive integers not exceeding 750 that are divisible by 3. 4. and 7 is: *

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Q: b) Let the functions f, g and h be defined as follows: f: R→ R ; f(x) = 4x − 3 g: R → R; g(x) = x² +…

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Q: How many frienda should Ziad have on Facebook so that on a day of the year (366 days) he receives 6…

A: This question is about application of discrete maths

Q: A company produces 5 different types of cookies. a) How many different boxes with 12 cookies is…

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Q: Given 101 is a prime number. Then (100101 – 9101 + 3200)(mod 101) = 92(mod 101) None of these 94(mod…

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Q: Exercises: Find the solution of each recurrence relation. (a) an=7an-1-10an-2 with a,=2 and a,=3.

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

Q: A company produces 4 different types of cookies. a) How many different boxes with 10 cookies is…

A: Follow the steps.

Q: p=T, q = T, and r = F. Select the correct truth values for the two propositions:(qvr)→-p-r>>(p^q)…

A: Sol:- First Tabulate the Truth Table for both the prepositions :- q rr pp \left(q \vee r\right)…

Q: QUESTION 1 Given the recursively defined sequence: a₁ =2, and a = 3a, The first 5 terms in the…

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Q: Let R be the relation on S={1,2,3} given by R={(1,1).(1,2).(2.1).(2.2),(3,1).(3.2)}. Then the…

A: Answer is mentioned below

Q: a) Find a recurrence relation that would determine the number of sequences a1, a2, ., an that have…

A: To determine the recurrence relation that would determine the number of sequences a1, a2,…,an that…

Q: discrete maths

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Q: Using rule of inference, construct a valid argument to show that "He will fail the quiz and his…

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Q: Select the logical expression that is equivalent to:-3x(Q(x)^(P(X)VS(x))) x(Q(x)vP(x)v(x))…

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Q: Q. No. 1: Prove the following using propositional logic: Show that (p → q) = p ^ ¬9 Show that -(p v…

A: Formula: p→q=¬p∨q Formula: ¬a∨b=¬a∧¬b Formula: ¬¬p=p (i) The given statement is: ¬p→q≡p∧¬q By the…

Q: Consider the set A = {2, 3, 5, 7}. Create a relation R on A that is a partial order with at least…

A: The given set is  A=2,3,5,7 and we have to define a partial order relation R on set A with at least…

Q: Let R be the relation on S = {a,b,c, d} given by the following digraph: b Then None of these R = (a,…

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