Given an acceleration vector, initial velocity (uo.Vo). and initial position (xo.Yo). find the velocity and position vectors for t20. a(t) = (cos t,5 sin ). (uo.vo) = (0.1). (Xo.Yo) = (3,0) 1... What is the velocity vector? v(t) = O0

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

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: f ​P(E)=0.60​, ​P(E or ​F)=0.65​, and​ P(E and ​F)=0.10​, find​ P(F).

A: Let E and F are two events. The known probabilities are, ​P(E)=0.60​, ​P(E or ​F)=0.65​, P(E and…

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: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: woudlnt P(P|S) be .41 instead of .14 because S represents when the cat is asleep and S' represents…

A: Probability explains chance how much an event can happen. It is calculated by number of favorable…

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: Find the value of c if, P(Z < c) = 0.25 а. -0.67 b. -0.0987 c. 0.67 d. 0.0987

A: Given, P(Z&lt;c) =0.25

Q: If ​P(E)=0.55​, ​P(E or ​F)=0.70​, and​ P(E and ​F)=0.20​, find​ P(F).

A: Given that P(E)=0.55​, ​P(E or ​F)=0.70​, P(E and ​F)=0.20​ The formula of addition of two events…

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(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: dx (x2 + 2)2

A:

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

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