1.8 Let D = (V, E) be a digraph with q edges. Show that E id(v) = od(v) = q. vĒV vEV

Q: N-1 1 R(N) = - - N2 R(i) i=1 Hint: R(N) is the probability of the event. How can you break it down…

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Q: 1. Find the distance between P and Q. P(−4, 12); Q(−12, 4)

A: Explained below

Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

A:

Q: 3. If you roll a fair die 80 times, what is the probability of it landing on a prime number at least…

A: Possible outcomes = { 1, 2, 3, 4, 5, 6 } Prime numbers in a fair die = { 2, 3, 5 } die is rolled 80…

Q: Find the cross products u x v and v xu for the vectors u = (4,4,0) and v = (0,2, - 5).

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Q: If f(x) =3x2 +3x2 +3x, find f(9). +3x find f(9). OA 225 O B. 207 OC. 1 942 OD.279

A: In the given question function is given as f(x)=3x2+3x12+3x We have to find the value of the…

Q: Choose an expression that is equivalent to OA y5x36 OB. O B. y6 -12 OC. yo x36 OD. x36

A: Given: x-6y6 To choose: An equivalent expression to the given expression.

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: 2. The expression log(3 + x) is undefined for what values of x?

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Q: Find the value of the expression log36 to the nearest ten-thousandth. O A. 1.5563 O B. 360.2348…

A: log 36

Q: . The United Package Service has a policy that states if a package is delivered late they will…

A: We calculate probability at least one package is arriving late ,for this we   use binomial…

Q: 2. A real estate agent plans to compare the price of a cottage, y, in a town on the seashore to the…

A: Topic- Regression

Q: Find the value of log49 to the nearest ten-thousandth. O A. 7.0 В. 4.90 С. 490 O D. 1.6902

A: To Find: The value of

Q: Which of the expressions below is not written as the difference of two squares? O A (4x² – 36) (36…

A: we know that the difference of two squares is a2-b2=a+ba-b

Q: 5.4 Find the least square regresion line for the data pint. (let * be the în de pendent vamiable and…

A: Given data point is (-1,3),(1,1)(3,0)

Q: H. (7m -48)° (3m+0)° (14n +11)° Part 1 out of 2 m ZK= mZG= m ZJ = %3D %3D

A: Solution  For Given  Quadrilateral GHJK , m= 12 and n = 9.5 A we know the sum of all interior angles…

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: The expression log2(4 – x) is undefined for all values of x such that OA54 B. x 2 4 OCx4

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Q: 1A.42 Please refer to the attached image for my question. Please show ALL your work. Thank you!

A: The given equation of a bouncing ball is  f(x) = 80(0.5)x where x represents the number of bounces…

Q: Find the balance of an account that starts with $12,000 at a 4.8% annual interest rate after 7…

A: Given  Principal P= $12000 Rate of interest = 4.8% = 0.048 Time T = 7 years.  We have to find the…

Q: E. The expression log(3 + x) is undefined for what values of x?

A: As we know that log 0 is undefined

Q: We are testing an effect of a potion that claimed to improve injured people's injuries with 80% of…

A: Let P denotes the number of people who improved after getting the drug. Since the number of people…

Q: Let v = ⟨−1,3⟩. Draw v, −2v, and 3v in standard position.

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Q: A loan of $39,999.55 is to be repaid by payments at the end of each quarter for eight years. Each…

A: The given details: Principal amount, P=$39,999.55 Rate of interest, r=4%=0.04 Number of years,…