Suppose that a card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing each of the following? a) A king b) An ace or a 3 c) A club d) A red 4 (...) a) What is the probability of drawing a king? (Simplify your answer. Type an integer or a fraction.) b) What is the probability of drawing an ace or a 3? (Simplify your answer. Type an integer or a fraction.) c) What is the probability of drawing a club? Type here to search O II O 1 O

Q: CLEA for the 11) For the following equation, use the discriminant to determine the number and type…

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Q: D Question 27 To prove 3+7+ 11 + ... + (4n − 1) = n(2n + 1) holds for an arbitrary n € Z*, the Basis…

A: Explained below

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A: Since you have asked questions with multiple subparts so we will solve first three subparts for you.

Q: Last year, Deon had $20,000 to invest. He invested some of it in an account that paid 8% simple…

A: Deon had $20,000 to invest. He invested some of it in an account that paid 8% simple interest per…

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Q: E] Write down the first 5 terms of the sequence given by the recurrence relations: a) U₁= 3U-2, U₁ =…

A: To write first 5 terms of series.using given sequence..

Q: 26. For what value of k is the expression x4 + kx2 + 36 a perfect square? A. 6 B. 12 C. 36 D. 72 O O

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Q: Given f: {0, 1, 2,...} → R and f(x) = x, then O f(x) is a one-to-one (injective) function. O All of…

A: We  have to find out the solution

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A: Explanation of the answer is as follows

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A: Recall that a set X is said to be closed under scaler multiplication iffor any x∈X, λx∈X for any…

Q: so which options are correct?

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Q: True or False? 9. Let A, B, and C be any sets then C − (A ∩ B) = (C − A) ∪ (C − B).

A:

Q: 7. Evaluate f(x) = 9 - 8x for f(-3). a) -15 b) 33 c) 20 d) none of the above

A: Given :f(x)=9-8x

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A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

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Q: 4. Prove by mathematical induction that = 2+1 1. 20+2¹+2²+...+2"

A: We have to find solutions

Q: Let A = {2,5,7} and B = {x | x E Z+ and x³ < 100}. (a) What is AxB|? how transcribed image text

A: Let's solve. Two sets are given.

Q: Find and simplify the expression if f(x)=x²-2. f(5) + f(h)

A: The given function is f(x)=x2-2 ..................... (1)  We have to find f(5)+f(h)=?

Q: Rewrite the sum using sigma notation. 4 4 4 4 + + + + ... 1.2 2.3 3.4 4.5 Which summation represents…

A: Consider the series  41·2+42·3+43·4+44·5+........

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A: The explanation are given below

Q: 1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1)…

A: solution:-(1) for orthogonal vector u·v=0(a)u·v=1,0,1·0,1,1=1×0+0×1+1×1=1  not…

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A:

Q: 8 Select the correct answer. What is the equation of the line that has a slope of 3 and goes through…

A: Given:   Slope (m ) = 3     Point : ( -3 , -5 )

Q: Select the expression that is equivalent to 6x 2

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Q: 5. The functions f, g and h are defined as follows: f: x → sin x, x>0 8: x → In(x²), XER h:x-x² - 4,…

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Q: C-The result of the sin t² lim 1-0 O 0 O infinity 02 O anther answer

A: Find the limit

Q: What is the solution to the equation 6 (5x+3) = 4500

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Q: Write as a logarithm Single 4 109 34 - 1093 12+3

A: Here we will write given logarithm as single logarithm,

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A:

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A: As per policy only first question is answered. Ques 4. Annual Income of Jessica = $24,000 Federal…

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Q: True/False Questions ( 1. If the "Primal" objective function is a "maximization" problem, then the…

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: A) The area of the region between the x-axis and the graph of the function shown below and the lines…

A: See the details solution in below

Q: 1. Solve for the determinant of the following matrix. 1 2 3 4 3 2 0 -1 2

A: To find:det1234320-12

Q: Marco tested three values of x in two expressions and found that one value of x returned different…

A: Marco tested three values of x in two expressions and found that one value of x returned different…

Q: Suppose you invested  $1300 in the stock market 2 years ago.  During the first year, the value of…

A: Here we have to find the total money at the end of 2 year periods.

Q: Solve the following. y 3 =5y 8 y y=0 (Simplify your answer. Type an integer or a fraction. Use a…

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Q: C-The result of the following limit is sin t² lim t 1-0 0 infinity 2 anther answer

A: You must have an idea about how to find limit of any function. Here understanding of L'Hospital rule…

Q: 2. Graph the following functions in the space provided: (a) f(x) = ln(1-2x) (b) g(x) = 51-2r -5 -4…

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Q: (x+α) 8x = 2 3

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Q: 2. Solve for the determinant of the following matrix. 1 2 3 2 1 3 4 4 3 14 N. 2 1 4 3 1 2

A: Let's find determinant of given  matrix.

Q: Use the simplex method to solve the linear programming problem. Maximize z = 5x₁ + 3x2 subject to:…

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Q: press the statement as an equation. Use the given information to find the constant of proportionalit…

A: Given query is to find the value of k.

Q: A land developer declared a dividend of P 10,000,000 for its common stocks. Suppose there are…

A: A land developer has dividend =p10,000,000  shares of common stocks =600,000

Q: What is the solution to the equation 6 (5x+3) = 4500

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Q: 6. Which of the following is a transformation that can be used to graph the function f(x) = -2(x-4)²…

A: Given problem:- Which of the following is a transformation that can be used to graph the function…

Q: 6. Choose which of the following are the values of x, y, and z. -2x - y - 3z = 3 2x - 3y + z = 13 2x…

A: A detailed solution is given below.

Q: Express the statement as an equation. Use the given information to find the constant of…

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Q: h = 3 sin[30 (t - 4)] +5 O 1.5m O 5m

A: at 5 pm , t = 5