Given an acceleration vector, initial velocity (uo.Vo. wo), and initial position (xo,YoZo), find the velocity and position vectors for t2 0. a(t) = (7t, e - 11). (uo.Vo.Wo) = (0,0.4), (×o.YoZo) = (5,0,0) What is the velocity vector? v(1) = (OID

Q: Given that p(B│A) =.54, p(A│B) =.35, and p(B) =.48, find p(A).

A: Answer: - Given that p(B│A) =.54, p(A│B) =.35, and p(B) =.48.                Find p(A).

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: Given P(A) = 0.40. P(B) = 0.30 and P(A and B) = .10. find (a) P(AU B).(b) P(A | B), and (c) P(B |A),

A: Given,P(A)=0.40P(B)=0.30P(A∩B)=0.10

Q: Given h() = -2(t+5)2+4, find h(-8). O -334 O -14 O 45 O 445

A: h(t)=-2(t+5)2+4 We need to find the value of  h(-8)

Q: P(A U B) = 0.9, P(B) = 0.8, P(A n B) = 0.5. Find P(A). %D

A: We have given that,  P(A∪B) = 0.9, P(B) = 0.8 and P(A∩ B) = 0.5 Then,  We will find P(A) = ?

Q: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

A:

Q: p(e and f) is 0.4 and p(e) is 0.8 what is p(f|e) ?

A: Given,P(e and f) = 0.4and P(e) = 0.8

Q: If P(A) = 0.7, P(B) =0.2, and A and B are mutually exclusive, find P (A or B). P(4 or B) = D

A:

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: 17. The height of a flying object is given by t h(t) = - 16t² + 48++ 32, where h is in mete and t is…

A: Given h(t)=-16t2+48t+32

Q: #S = (a.b.c) with P(a) = 5P(b) = 7P(c), find P(c).

A: Solution :-

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

A:

Q: determine f ∗g. Q. f(t)=6t2, g(t)=5t3

A:

Q: if  Let P(C) = 0.2, Let P(D) = 0.3, Let P(C | D) = 0.4  how do you find P(D | C)

A:

Q: C. Given :v (3t x)e-2t %3D 2. Find ardx

A:

Q: t(r) dr

A:

Q: Which of these values is the greatest? (T 3.14) 3 O v15 О п+3 O v5 + V5

A: We have to find the greatest value. Given π = 3.14

Q: x?_o²' dx 2.

A: We have to evaluate∫x3x2-a2dx Let t=x2-a2 Differentiate both sides with respect to x:…

Q: Given P(E or F) = 0.83, P(E) = 0.44, and P(E and F) = 0.18, what is P(F)?

A: P(E or F) = P(E) + P(F) - P(E and F)

Q: Given P(A) = 0.2, P(B) = 0.6 do the following.  If P(A | B) = 0.1, compute P(A and B).

A: Given that  P(A) = 0.2, P(B) = 0.6 P(A | B) = 0.1 Find P(A and B)

Q: Given P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?

A: We have given that,  P(E or F) = 0.87, P(E) = 0.14                              and P(E and F)= 0.19…

Q: Given P(A) = 0.50. P(B) = 0.40 and P(A and B) = .05. find (a) P(AU B).(b) P(A | B), and (c) P(B |A),

A:

Q: Given that P(N) = 0.256; P(M and N) = .098; and P(M or N) = .674. Find P(M).

A: Given data, P(N) = 0.256 P(M and N) =0 .098 P(M or N) = 0.674 P(M)=?

Q: Į xe X.L(x)L4(x) = %3D Select one: a. 0 b. NOT C. 4 d. -4 e. X OO O O

A:

Q: Given that P(A UB) = 0.76 P(AnB) = 0.36 P(ANB) 0.26 Find P(B|A) O 0.24 O 0.28 O 0.35 O 0.86

A:

Q: Given that p(B│A) =.75 and p(A B) =.28, find p(A).

A: GivenP(B|A)=0.75P(A∩B)=0.28

Q: P(t) = 24 + 0.4t. What are the values of the population for t = 10, 20, and 30?

A: Given,         The population function is given as Pt=24+0.4t