A quarter is flipped, an eight-sided die is rolled, and a card is drawn from a normal standard deck of playing cards. What is the probability that the quarter comes up 'tails', the die reads '5', and the card is a diamond? Write your answer as a percentage rounded to two decimal places.

Q: Are the two matrices similar? If so, find a matrix P such that B = P-¹AP. (If not possible, enter…

A: Two matrices A and B  are similar if there exist an invertible matrix P such that B=P-1AP

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A: We are given the data: (1,1),(2,5),(2,6) and (3,5).

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A: There are different statements. It has to be proved whether it is true or false.

Q: Solve the recurrence relation: S = 3Sn-1 + 1 S₁ = 1

A: The recurrence relation is given as       Sn = 3Sn-1 + 1            = 3(3Sn-2 + 1) + 1            =…

Q: Find the value of the given exponential for the indicated values of the variable. 10t/2 (a) 10/2=…

A: 10t/2   , for t=-2 10-2/2 = 10-1=1/10= 0.110t/2   , for t=-2   10-2/2 = 10-1=1/10= 0.1

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A: The equation for number of honey bees growing is N= N0 e0.016t .  We have to find the number of days…

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A: We are given the following information. Suppose we have a rod that is 1 meter long. The rod has been…

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A: We have been given the graph of the function. To do:Find the domain and range of the function.

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A: The market research department at a manufacturing plant determines that 50% of the people who…

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A: A simple digraph with 4 vertices with in-degrees 0, 1, 2, 2 and out-degrees 0, 1, 1, 3. Is it…

Q: 1113 Let A 2046 1137 Find the product A'.

A: Solution :-

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A: Using green theorem:

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Q: D7. Determine the oscillation of "-tx² + x = 0.

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A: Binomial Theorem – As the power increases, the expansion becomes lengthy and tedious to calculate. A…

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Q: 8. Find the power series solution centered at xo = 0 of given differential equation. (x - 2)y" - 2y…

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Q: 1. Consider H= (i) and K= (-1) the subgroups of Q, the quaternion group. 1) Explain why H is normal…

A: Basic theory regarding normal subgroups from algebra will be used

Q: z3 = Sqrt(2) - i*Sqrt(2)

A: Let z1=2+i2  be the given complex number . Put 2 =rcosθ and 2 =rsinθ   , where r2(cos2 θ…

Q: 2p + q − (α + 1)r = −3 p + 3q + 2μr = 8 −2p + 4q − (β + 4)r = 11   Find an expression for p in…

A: 2p + q − (α + 1)r = −3 p + 3q + 2μr = 8 −2p + 4q − (β + 4)r = 11α=0, β=6

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Q: Solve the following linear programming problem. z = 33x + 15y 7x + 5y ≤ 35 11x + y ≤ 35 x≥0, y≥0…

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Q: Advance maths In (Figure 1), f(x)= 4cos(π10x) , a = 4 in ., b = 5 in . Determine the moment of…

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