Problem 9: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of ectors are A = 10.9,B = 6.9, C = 11.3,D= 19.8, and F = 19.8. The angles, in degrees, are 0A 0, 0B = 53.0, 0c = 60.0, 0p = 37.0, and Op = 30.0. In this problem, you will be asked to %3D %3D late the value of a variety of scalar (dot) products.

Q: If P(B) = 1/4 and P(A|B) = 1/2, what is P(A^ B)?

A: P(B¯) = 1/4P(A|B) = 1/2We have to determine P(A∩B).

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: where did the 1.18 come in how did you get that

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Q: True or False, ₁x1-x²dx = 0 O False

A: FORMULAE-

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

Q: (1) Evaluate r (2.3)

A: Gamma function is defined by: (1) Γ(a)=∫0∞ta−1e−tdt,Re(a)>0(2) Γ(a)=Γ(a+1)a,…

Q: An BnC (A-B)U(A-C)U(3 Match each of the options above to the items below. S Di An (BUC) 4

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Q: Where did you get the 4/20, 6/20, and 8/20. What is your reasoning for using these values?

A: For a probability distribution :  Mean :  E(x) = x*P(x)  P(x) = Probability of x = x/total  We know…

Q: Could you explain (b),(c) too?

A: We already have an orthonormal basis B from the standard basis is

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: Given P(A) = 0.03, P(B) = 0.42, P(B|A) = 0.28, what is P(A and B)

A: GivenP(A)=0.03P(B)=0.42P(B|A)=0.28

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

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Q: Suppose that P(E)=0.76, P(F)= 0.45, and P(E and F) = 0.32. What is P(E or F)? P(E or F) (Simplify…

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Q: Given P(A and B) = 0.23, P(A) = 0.84, what is P(B|A)?

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: Г(4) 2Г (2) 3 aO 2.00 6. 4.

A:

Q: Given P(A) = 0.78, P(B) = 0.87, and P(B|A) = 0.44, what is P(A and B)?

A: Given :  P(A) = 0.78 P(B) = 0.87 P(B|A) = 0.44

Q: How did you come up with 18? Is there some sort of working?

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Q: Find the principal values of (4+3j)3+4j.

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Q: Find (-2, 7)-(6, -9). O/O (0.0)

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Q: How was the S1 found on answer A?

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Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

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Q: A= 12- 273 2 L1 -1 1 -1 3-4.

A: Power and combination of matrices

Q: Evaluate s(s³ – 4) ³ -4) 3 ds Vs –10s² + 6 99. |

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Q: Given P(A) = 0.94, P(B) = 0.98, P(B|A) = 0.52, what is P(A and B)?

A:

Q: Given P(A) = 0.01, P(B) = 0.88 , and P(B|A)=0.34 , what is P(A and B)?

A: Given: P(A)=0.01P(B)=0.88P(BA)=0.34 The objective is to find the probability of P(A∩B).

Q: Hi can you please answer b(iii), b(iv) and c?

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Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: (A v B) A -C

A: Solution: The objective is to complete the truth table

Q: What is the coefficient of d5e2c in (d+e+c)8

A: Given (d+e+c)8 = (d+(e+c))8= Cr d8-r (e+c)r8= Cr d8-r Ck er-k ckr8= Cr Ck d8-r er-k ckr8 We need to…

Q: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

A:

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: How would you interpret the Z score when X = 80, M = 74, s =2? How would you interpret the Z score…

A: Given,mean(M)=74standard deviation(s)=2and raw score(X)=80

Q: What does "D" mean?

A: D is here domain of function which is subset of real numbers. In sequential criteria we have take…

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

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Q: Given P(A) = 0.86, P(B) = 0.77, P(B|A) = 0.37, what is P(A and B)?

A: Let A and B are two events. The known probabilities are, Using the conditional probability formula,…

Q: Given P(A) = 0.16, P(B) = 0.88, P(B|A) = 0.25, what is P(A and B)?

A: Given , P(A) = 0.16, P(B) = 0.88, P(B|A) = 0.25

Q: How do you find the value of zc?

A: