a) Find the first quartile, Q1. b) Find the third quartile, Q3. c) Find the interquartile range.

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A: Given: d(n) = 30, that is, the number of factors of n is 30.We have to find the smallest n.

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A: Solutions 

Q: Find the Laplace Transform 1.[test

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Q: T 1 T. T F T 3 T F F 4 F T F T F T D7 F F F F F 8

A: Here we have to find only the truth table for the column 4. ~q means not q i.e. if q is true then ~q...

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A: The complete solutions are given below  

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A: Let us solve the reasoning based problem in the next step.

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Example 1b In polar form, write out řAB A 2.5 m В C D X. 2 m 1.5 m

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A: The complete solutions are given below

Q: 1. Which of the following equations represents a quadratic function? A. y 3+2x? B. 2y2 + 3=x C. y 3x...

A: q-1 which of the following equations represents a quadratic function? A) y=3+2x2  B) 2y2+3=x C) y=3x...

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A: 2 teams to be played out of 10 teams can be selected as follows:

Q: 34 Required informetion NOTE This is a muti part question. Once an answer is submitted, you will be ...

A: We have to prove the given statement.

Q: given are

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Q: 1(1(p → q) a r)

A: we have to solve ¬(¬(p↔q)∧r) Now  (p↔q) =(p→q)∧(q→p) and (p→q)=¬p∨q ⇒(p↔q) = (¬p∨q)∧(¬q∨p)

Q: s-1 ] = ? (s-1)2+1 e cos (t) e'sin (t) e-'cos (t) e-t sin(t)

A: Using the table of Laplace transform, it can be written that: Leatcosbt=s-as-a2+b2.

Q: 3. A certain boat traveled 32 kilometers along with the current and 16 kilometers against the Curren...

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Q: Select all statements that are true for all n x n nonsingular matrices.

A: This is a problem of linear transformation and spectral radius, norms.

Q: Find the Laplace Transform 4.f(t) = (1 + te-t)

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Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right. ...

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Q: 10. It is given that AABC ~ AEDF such that AB = 5 cm, AC=7 cm, DF = 15 cm and DE = 12 cm, then the %...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Estimate using compatible number estimation. A. 84×49 B. 5527÷82 C. 2315÷59 D. 78X81 E. 207X73 ...

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Q: a land developer declared a dividend of 10,000,000 for its common stock. Suppose there are 600,000 s...

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Q: Multiple Choice O (XEZIX<3=[xeZIx#1) O KEZIX<x3=(XEZIX#0) (XEZIX<x=(XEZIX#0^x#1) (XEZIX<=(XEZIX#0v x...

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: In exercises 19 to 20. Construct a truth table for each compound statement. 19. ~p V q 20. [~ (p V q...

A: 19) Truth tabel of ~p∧q p q ~p ~p∧q T T F T T F F F F T T T F F T T

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Q: 1 Show that -(pv q) and -p A-q are logically equivalent. . Show that p → q and ¬p v g are logically ...

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Q: er(f) = ker(g) +f = cg_for some nonzero scalar c. %3D

A: We can see that the inverse part is trivial so we will prove for direct .

Q: C_A* UI

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Q: The fourth term in the expansion (2r + y)' is

A:  The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued prod...

Q: Problem 1. Let 4 0 0 0. -1 2 0 -1 5 2 6. 13 1 5 2 ,D = 3 A = 1 0. ,E = 1 3 1 6. 0 7 -3 0 2 4 1 3 10 ...

A: according to our guidline we can do at most three subpart of a question .please post remaining quest...

Q: (a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z (Hint: take conjugate...

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Q: et T E L(V,W), and U e L(W, X). Prove that UT : V → X is also linear

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Q: Check Al That Apply nent an imege of exactly one element

A: This is a problem of function.

Q: Use Euler diagram to determine whether the conclusion is valid or not based on the given assumptions...

A: First to understand the problem we will draw the Euler diagram: Now we have two options to visualiz...

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Q: differential equations.

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Q: nce Determine t he Intervals for the following senies converge (al Σ nこ1

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

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Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

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Q: (a) Given the sequence 2;,5,10 ..,10,240. i. ii. Find the number of terms in the sequence.| Calculat...

A: The number of terms in the sequence is 13 The sum of all the terms is 20,477.5

Q: Learning Task 1: Identify whether the following is a prime or a composite number. Write your answer ...

A: # we are entitled to solve three subparts at a time ,please resubmit the other parts if you wish to ...

Q: 1. Find the extreme values of f(x, y) = x² + y² – 8x – 6y subject to the domain given in the figure ...

A: Given that fx,y=x2+y2-8x-6y First we have to find the extreme point on the domain given in the figur...

Q: Consic and b whose divisic demor exist r

A: let R=ℤ-2 function is defined as da+bx=a2+b2 and dxy=dxdy now, for x,y∈ℤ-2  xy-1∈ℚ-2 then, for s,t∈ℚ...

Q: 4Does = c?t 4x +3 1o, have a solution? itis Solution describe aind demenstrate 4 yes a number line.

A: