40! p(X = x) = ,x =0,1,..,40 x!(40 – x)! (P)*(q)0-x V(x) q =0.1 O 2.5 1.4 3.6

Q: |x + 7| X < -7 X + 7.

A:

Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

Q: (c) P(\X| > 3) (d) P(|X – 5| > 3)

A: We have given that.   X~N( μ , ?^2 )   μ=5 , ? =1   Z-score =( x - μ )/?

Q: :1 S* d(x³). 3

A:

Q: x+4 Find | dx (x-2)(x+5)(2x-1)

A: Here we use partial fraction to solve the integration.

Q: (b) Find the big O of the function f(n) = n²" + n"

A:

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: d) P(-х <X —9 <х) %3D 0.95. X = i e) Р(-х <X—9 < х) %3D0.99. X =

A:

Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

A:

Q: Find F(s). F(s)

A: We use the table of Laplace transform to answer the given question.

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

A:

Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

A:

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

Q: 15s + 5 Let F (s) Find C'{F(s)} (8s + 8) (s² + 1)

A: Laplace transform converts the real variable into a complex variable. Consider a function f(t). The…

Q: he average daily temperature (in ◦ Fahrenheit) in Portland, Maine is given by A(t) where t is the…

A:

Q: Determine £¹{F}. F(s) = 7s²-18s+7 s(s-7)(s-4) ***

A:

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: (d) P(X > 7) = i (e) Determinex such that P(X < x) = 0.99. X = i

A:

Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

A:

Q: Evaluate / (1) siven t-0 for -1 F (s) = (+3)(-6) 01 3.

A: Given:- F(S) =(s-1)/((s+3) (s-5))  To find:- f(t) when t=0

Q: L. nft 7r 2x+1 1 4) f(x) = 2 I- 3 < 1 f(1)= f(-2)= f(6)=

A: The given expression is:

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

A: Given  f(x) =x3+3x+17

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: Find F(0) if F (t) == L-! 16 82 (s+4) O 16 O 4 O 2

A:

Q: If L-[F(s)] = f(t), evaluate f(0) given by the expression F(s) : (s+2) %3D s2 (s+1)'

A: Solution

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: 1. Write the following in the form f(x) = Ba". - (;) (*) 20 (a) f(x) = (b) f(x) = 5(3")(9ª) (c) f(x)…

A:

Q: (c) Determine the following: (1) P(X = 1/2) (ii) P(< X <³) (iii) P(1 ≤ x ≤ 2)

A:

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: 7 5 54 what is 11' | f(2)dz? Given that f(x)dæ answer =

A:

Q: a) f(t) = esec(20) + In(2t² + 5)

A:

Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.

Q: Suppose f (x) =- E. Evaluate: |x+1 f(x)dr

A: