Find (f + 9) (») if f(ӕ) — 4ӕ? — 5ӕ and g(ӕ) — За? - ва — 4 о (f+ 9)(») — — ? +11г - 4 о (f+9)(2) — 7a? + a — 4 (/+9) (ӕ) — — 2? - 24 о (f+9) (ӕ) — г? — 11г --4

Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: Simplify 6. 6 x³ ( 4 x6 ) 7. x6 ( x° ) 31-2 2(x- 8. 5 (-3 x7) ( 6 x7) (- 2 x4) (- 9 x4) 10. (12 x )…

A: Expressions are given, we have to simplify it.

Q: Which of the following functions is one - to - one? A h(x) = x³ – x² –2x B (x)=|2x – 1| © f(x) = x²…

A: 1) for a one to one, function, or any value in it's domain there will be a unique value in it's…

Q: (3s 4(x-5) 4. (340C)= 215x+-20 3--20 5. (x-23(x-1) (2x-3)(x+7) Bx + 8)=5-8 (x-6)(x+5) 8. 31 3-

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Q: POSSIBLE POIN" 7 The sum of the reciprocals of two consecutive even integers is Which equation can…

A: The given statement is "The sum of reciprocal of two consecutive even integers is 724." We have to…

Q: If f) - х* +*-3, then f3a) - За? + За - 3 а. Х р, а? + За - 3 с. За? + За + 3 d. 9a? + За - 3 е. 9а*…

A: The given function is fx=x2+x-3. The value of f3a is obtained by substituting x=3a in the given…

Q: What is used in x²+4=0 x²+4+(-4)=0+(-4)

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Q: Which of the following equations is incorrect? L· (M × Ñ) = Ñ · (M xI) W × ( + P) = -(ỹ × W + P × W…

A: Consider the vector. X→×Z→×Y→=X→·Y→Z→-X→·Z→Y→

Q: (-2)4-315-11| +2 2(7)-412-31 -(3)² + 2(17)/

A: We have to find solutions

Q: а (За — 9) - 10(9 - З2) 6. 3x О (3г — 9)(г + 10) О (Зх +9)(г — 10) (3x О (3х — 9)(г - 10) о (Зх +…

A: Given x (3x - 9) - 10 (9 - 3x)

Q: X-4 22 81 1

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Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: *+ェー6 x+5. 3-2)(X+2)

A: Given equation isx2 + x - 6x +53(x-2)(x+2)3x+15simplify...

Q: (8y + 17) (бх - 7)" (3х - 29)

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Q: Мaximize 6x] - 2х2 + 9х3 + 300 2 subject to 2x1 - 6x2 хз <100 х + х2 + 9хз < 200

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Q: (4х + 1)(4х — 1) (4х — Зу)2 (Зh — 2g)3

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Q: X1 - 3Х2 - 4 X3 = 1 -X1 + X2 - 3x3 = 14 X2-3x3=5

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Q: If A =  (2   1) and  B = (3 )then BA =            (3   4)                (1)

A: Given A=2134 and B=31

Q: ((-25) + (-5)) – (-10) - 16 + (6 + 2) )-(8-)-a-(-) ( (-8) + 8 + (–1)³

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Q: वेज तेलस्अिक +ी "ठे-डिर-1

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Q: а) (Зx)-2 x- b) 3x-5 3x-5 c) (2x4)-3 |d) (5х*) -?(10х5)

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Q: 2x2 +1 x3 - 3x +2

A: We have to evaluate the following integral: ∫2x2+1x3-3x+2dx

Q: c. (x + 3)(x + 8) = x Ex2

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Q: 1. (x-2) 2. (4x + 3) 3. (5х- 1) 4 (x+2) 5. (5x + 1) 6. (2x - 3) 7. (5x) 8. (4x- 3) 9. (2x+ 3)…

A: The answers are :-

Q: 2X where %3D %3D

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Q: 1/3 f(x) where F"(x) = 2 Sin (x) + X find f(0) = -1 and

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Q: 3x + 9x2 + 27x + 81x + 243x + ..

A: Find the radius of convergence

Q: A Question 3 Which expression is equivalent to За (ba + 10) — (2? — с)? 5x + - - O A -x² + (3b +…

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Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

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Q: possible

A: Simplify the above question We can write 5=3+2

Q: g(り2x+qr1( xL3 -Ax+ b, if x 73

A: Consider the given piecewise function

Q: (17v^(3)z^(5)-8vz^(2))-:(-4v^(3)z^(5)) Simplify your answer as much as possible.

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Q: Rewrite 3x2 + 20x – 6 in the form (Зх — 1) х q(х) + r(a). 3x2 + 20x – 6 = (3x – 1) × ) +

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Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of…

Q: 3x+5 x-18 (x+6)(x-1) (x+6)°

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

Q: а. (1- 15 ) -1 x² b. 3 пx2 C. Зу 4х -8 d. 4(y-5) 3x-6

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Q: -1 4-64 A = -7 -3 A-¹ - = 4] 881

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!