We are given a table with data of 67 members of the US Senate in June 2012 and their affiliated political party and when they are up for reelection. Up for re-election: Democratic Party 20 10 November 2014 Republican Party 13 24 Other 0 November 2016 0 1. What is the probability that a randomly selected senator is up for reelection in November 2016? 2. What is the probability that a randomly selected senator is a Republican or is up for reelection in November 2014? 3. Suppose that a member of the US Senate is randomly selected. What is the probability that the senator is up for reelection in November 2014, knowing that this senator is a Republican?

Q: What is / 3d x? S 3dx = 3x + C / 3dx = 3x / 3d x = – 3x+ C S 3dx = – 3x² + C

A: here we need to find the anti derivative of given function. the solution is following.

Q: Let A = {1, 2, 3) and let f : A A, defined by f = (1, 2), (2, 3), (3, 1)}. Find f, if it exists. %3D

A: given A = {1, 2, 3} this is function

Q: 13 Find solution of non-homogeneous differential equation (D* +1)y = sin (3x)

A: Find complementary function and particular integral

Q: Complete the table. y = f(g(x)) U = g(x) y = f(u) 1. x +6

A:

Q: 是 Suppose the differential equation = 2x²-1 where y(0) = 0. dx 8) Create a slope field the…

A: To plot the slope field for the differential equation of the form y'(x)=f(x) recall the following…

Q: Q3. Consider the following exam scores of all students in a class. 39, 15, 27, 21, 33, 24, 18, 36,…

A: Given data :  39,15,27,21,33,24,18,36,42,30

Q: and

A: Given that: -4-6|10p-7|<-106

Q: Problem 3: (Laplace Transforms of Perlodic Functions) 1. G(t) = e², 0 st<3,G(t+3) = G(t) Sketch the…

A:

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Please solve and show your work

A: LCM of x and 3x is 3x.Multiply both sides by 3x to get rid of the denominators.

Q: SOLVE STEP BY STEP DON'T USE CHATGPT 3. Calculate the volume inside the cylinder x^2 + y^2 =4 that…

A:

Q: please solve and show your work

A: The given points are

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: Help me solve this page please.

A: The solution is given below

Q: QUESTION 7 Suppose we want to determine the proportion p of all Canadians who agree with the…

A: Given,margin of error (E)=0.01assume sample proportion(p^)=0.5α=1-0.95=0.05α2=0.025Z0.025=1.96…

Q: Find the particular solution of the non-linear ordinary differential equation. y' = -3y + y², y(1) =…

A:

Q: Consider the Sturm-Liouville Problem x²?y" – 3xy + 4Xy = 0, (1) = 0 y(3) = 0 %3D (a) Find all…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: please solve and show your work

A: To factor

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A:

Q: Find an equation of the circle whose diameter has endpoints (-6, 2) and (-6, -2). 0 8 0=0

A:

Q: 5. Using the assumptions in question 4, if the Oxnard College softball team plays three games, what…

A: Probability, p = 50% = 0.50Sample size, n =3

Q: Test following ODES for exactness. If exact, find General solution. Do detailed Curve Sketching…

A: (b) Consider the provided question, First check whether the given equation is exact or not.

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+5) = 0 () log,(x – 1) – log,(x+3) =…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Let f(x) be twice differentiable and invertible function such that f'(x) >0 and f"(x) > 0, prove х,…

A:

Q: What is / (7)* dx? S{(7)* dx = 7*-2 + C 2(In 7) S {(7)* dx = 7* + C (In 7) S{(7)* dx = + C 2(In 7)…

A: Explanation of the answer is as follows

Q: Please solve and show your work

A:

Q: A sample of n = 10 scores has a mean of M = 9. One person with a score of X = 0 is removed from the…

A:

Q: 6. What is the average rate of change of the function f(z) = cos z over the interval z<IS 27? A. B.…

A:

Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is…