Let r, n EN and l = min{r, n}. Then, nr =C(n, k)k!S(r, k). k=1

Q: d. Set up a definite integral whose value is the exact volume of the solid of revolution generated…

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Q: If X ~ N(5,2). Calculate P(X<6) [Draw a figure]

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Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 1. Determine the slope of the line between the two given coordinates. Write the slope as a reduced…

A: d.

Q: Let U=​{1,​2, 3,​ ...,2400​}. Let S be the subset of the numbers in U that are multiples of 3​, and…

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Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

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Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: Suppose X~N(19, 2.5).  Find P(X = 17)

A: Given X~N(19, 2.5)

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Evaluate Cxp*q" -* for the values of n, x, and p given below. 1 n=7, x= 1, p=5

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Q: z - j

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Q: If P(n-1,3):P(n,4) = 1:9,Findn.

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Q: = Suppose (3, −1, −2), = (-1, 1, −4) and w = . 9. 9. v.w= 9. v. v= ū⋅ (v+w)= . 9. (5, 1, 1). Then:

A: For any query with the solution, please ask in the comment box.

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: ind 5(s+2)(5+2)

A: Using method of Partial Fraction.

Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: 3. р Л~ q

A: To write the truth table for p∧~q

Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

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Q: 3.6...(3n) E=1(-1)" n=1 2n2.5...(3n-1)

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Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: 8 = 1, EN 7 **** 1'2' M 1" nnn € N

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Q: Suppose a > 0, (a, 42) = 6 and [a, 42] = 420. Find а.

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Q: If m|n then lcm(m,n) = n. :Select one True False

A: True

Q: If n ≥ 3, then (Sn, 0) is

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Q: 7. If P(A) 0.30, P(B) = 0.36, and P(ANB)=D0.12, find a) P(AUB} b) P(AnB) c) P(A|B) d) P(A|AUB)

A: As per our guidelines we can solve first three subpart of question and rest can be reposted.…

Q: 2. Find the following derivatives. (a) y = log; (xe*Y loz Leet (c) y = 38z2-5 (e) h(v) = e-2"…

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Q: if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)

A: We are asked to find n(A∩B)

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(An B)=4. n(AUB) = (Type a whole number.)

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Q: Waite V. linear combination of as a where V= (2,7,10), Vi =(1,2,3),Vz= (1,3,5) V3=( 1,5,9) %3D

A: We are given a vector v=2, 7, 10 and we have to write v as linear combinationof v1, v2, v3 where…