(a) P(X <0); (b) P(X > 1); (c) P(-2 < X < 3);

Q: For what x is -x³ < 2x² and 5x < 2x² ?

A: From the given  problem: -x3&lt;2x2 So,…

Q: DETERMINE the qoutient Q(X)AND REMINDER R(X)FOR (x³ -2x² +112x+3) ÷ (x+3)

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

A:

Q: |x-3|&lt;7

A: The given inequality is | x - 3| &lt; 7.

Q: (b) x? - x - 6 >0 (

A: First, factor the left side of the inequality x2-x-6&gt;0. Split the middle term -x such that the…

Q: If f(x)= 3x-4 if -3≤x≤4 x³-4 if 4<x≤5 , find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5).

A:

Q: p(x) = -2|-x|; Find p(9)

A: Function: - A function is a process or a relationship that connects each element x of a set X, the…

Q: (X+3)(x-8)=0

A:

Q: Given f(x)=2+3x-x² a) (fg)(x) and g(x)=2x-1 evaluate each of the following. b) (fog)(x) c) (gof)(x)

A: The given function is To find:-

Q: For g(x) = (a) g(-7) 6x X+7' evaluate each of the following. (b) g(b) (c) g (x³) 2 (d) g(3x-7)…

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Q: x+45<2

A:

Q: ö even ppo o ppo o h(x)=-x5+3x?.

A:

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

A:

Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: (x-5)(x+5)=0

A: We have to find the solution

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: 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: For f(x) = 4x-3 and g(x)=5x -4 find the folowing. a. (fog)(x) b. (gof)(x) c. (fog)(2) a. What is…

A: Given functions are: fx=4x-3 gx=5x2-4

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: If P(x) = x +x+ 4, find P(7). P(7) =

A:

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: Which of (a)–(f) are true for a = −3 and b = 2? |a| &lt; |b|

A: Given: a=-3 and b=2. To determine whether a&lt;b is true or not. Solution:  We know that modulus of…

Q: Given f(x) = 7x – 6 and g(x) = 8 + x, find the following:

A:

Q: Use f(x) = qx + b and g(x) = nx + v to find: (a) fog (b) gof (c) the domain of fog and of gof (d)…

A: (a) f o gx =f(g(x))               =f(nx+v)               =q(nx+v)+b               =qnx+qv+b   (b) g…

Q: f(x) = [ 3x + 5 if x &lt; 0 and 4x + 7 if x ≤ 0]  Find : a. f(-2)           b. f(0)           c.…

A: Given, f(x)=3x+5 if x&lt;04x+7 if x≥0 To find  a. f(-2) b. f(0) c. f(3)

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: If X: N(132,100) find P(122<X<142)

A: Given : X follows a Normal distribution  with Mean  = 132 Variance  = 100 Standard deviation  = √…

Q: f(x) = 3(8x– x²)/256

A: Given distribution function is:

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

A: on solving this we get

Q: ささ。 てpo (x)()p 'メ- (Xけ P7 X and (83)

A: Given that                f(x)=1-x2 Now we find (f∘f)(x) .              (f∘f)(x)            =f∘f(x)…

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 7 - 8x + 4x² f(a):…

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Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

Q: (a) | V3 +1 dr

A: