Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

Q: g(x) = [x +5 if x  ≥ -5 and -(x + 5) if x < -5]. Evaluate : a. g(0) b.g(-6) c. g(-5)

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Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: 7x-2x+6<3(x+4)

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Q: Which of the following correctly states the interval that the function f(x) = 2x* - x² - 12x² %3D +x…

A: Given:     To determine: intervals in which f(x) is decreasing

Q: x2+9 x -1D <0 10<0

A: The given inequality is  x2+9x-10&lt;0 To solve this inequality we firstly find the critical…

Q: -3x+5(x-1)≤7(x+1)-4x

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Q: 5(1-x)=6(1+2x)+5  What does the x equal

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Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: | 3(x + 1) + 6|s 15

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Q: a² +7< 3 - |5x - 3|.

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Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: (a) P(X 6) when A= 4.5 P(X= 6) = (b) P(X 9) when A = 5 P(X ≤9) = (c) P(X>6) when A = 3 P(X> 6) =

A: We know that, The probability mass function is,  P(X=x) = (e-λ×λx)/x!  Where,  λ &gt; 0  x = 0, 1,…

Q: 68. (t + 4)(t + 4)(t - 4)(t - 4)

A: We will use here the property a2-b2=(a+b)(a-b)

Q: 45. f(x)={19x if –1<x<6 22 if x26 a) Find f (-3). b) Find f (2). c) Find f (75).

A: Given : x=-3 it lies in the range -5≤x≤-1 1) f(-3) is calculated as: =(-3)2-7(-3)+1=9+21+1=31 2) x=2…

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: h(x) = e* 18) Dom: 19) Range:

A: The given function is f(x)=ex

Q: 4x+|6-3x|+5 , where x less than 2

A: If f(x) = x, then we have:If x is positive, then f(x) = x If x = 0, then f(x) = 0 If x &lt; 0, then…

Q: 4(x-3)-2(3x+1)<1

A: Given, 4(x-3)-2(3x+1)&lt;1 We will solve this inequality for x

Q: \/(r2 – 6r + 9)    a. Defined for all reals.              b.      r 3   c. r -3…

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Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

A: When a, b, c are in gp then b^2=ac.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Give an example of a real function that is increasing on the interval (0,2), and decreasing on (2,…

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Q: 4-|x|= 2x+1

A: Solve the equation 4 − |x| = 2x + 1 for x.

Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

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Q: 2x - 1 (a) x + 2 <-1 (b) 12x – 4| <x + 1.

A: on solving this we get

Q: Q3 Suppose that X ~ N(-8, 14). Find:

A: Consider X as a random variable that follows a normal distribution with mean (-8) and standard…

Q: x²2 -4 dr. r> 2

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Q: 4- |x - 2| + 4 < 10

A: Absolute rule: If x&lt;a and a&gt;0, then -a&lt;x&lt;a. The given inequality is x-2+4&lt;10.

Q: (a) | V3 +1 dr

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Q: h(x) = [(x2 - 9) / (x - 3) if x ≠ 3 or 6 if x = 3]. Evaluate : a. h(5)           b. h(0)…

A: We have to evaluate the following: a. h5          b. h0        c. h3 Where function is hx=x2-9x-3 if…

Q: Show that N-, (x) = (-1)"N„(x). Nó(x) = -N1(x). with open steps and explained pls

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Q: 2(3y+1)&lt;-10

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Q: X/-2 +8<2

A: Consider the given inequality x-2+8&lt;2

Q: 3(2x+7), x+1 5. -3

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Q: 3(x + 2) > 55

A: