Scott surveyed 40 friends on Facebook and asked them where they were born and where they went to college. He then categorized the data by whether they were born in Arizona (or not) and whether they went to college in Arizona (or not). The data are below. 21 people were born in Arizona 17 people went to college in Arizona 9 people were born in Arizona and went (or go) to college in Arizona a) How many people were born in Arizona and did not go to college in Arizona? b) How many people did not go to college in Arizona? c) How many people were neither born in Arizona nor went to college in Arizona?

Q: Let y be a solution of the differential equation * such that y(1) = 1+?. If x = fo, then the value o...

A:

Q: 1 2 Is A stable? a) Let A = 2 4 2.

A:

Q: - Find in terms of Jo and J:

A:

Q: In a batch of 500 high school students, there are 252 students who own a laptop, 176 students who ow...

A: Here we can use the formula nU = nA+nB-nA∩B+nA∪B' 

Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

A:

Q: 66. A car travels from one city to another at 40 miles per hour. On the return trip, the rate of the...

A:

Q: A zero coupon bond is a bond that is sold now at a discount and will pay its face value when it matu...

A: Given that: Face value of the bond = $15000 Mature time = 28 years  Buy price = $6000 To determine...

Q: (a) Create a graph with six vertices of degrees 2, 2, 2, 3, 4 and 5. Construct the matrix of the gra...

A: Multipart:    We know that , degree of vertex of graph G is the number of edges passing through it. ...

Q: dx + 2x – 3y = t dt

A:

Q: Hw.4 consider a ctosed Kectangutar box uith a If base side ir measured with evror at 2% and the heig...

A: Volume of the box with square base is given by V=x2ywherex=base sidey=height Surface area of the box...

Q: Find the solution of the following Differential Equations y" – 4y' + 5 y = 0, y(0) =1, y'(0) = 2.

A:

Q: Let --)-()-0-0 VA vi 9. where cER. What is the only value of c for which the set {v1, vz, V3, V4} is...

A:

Q: 22. Evaluate |(x – a) (x – b) (x – c) . . . (x – y) (x – z) where the second term of each factor con...

A:

Q: Compute numerically the first real positive root of the following function using bisection method. (...

A: Given,  The function is given by,  X + e-2X-1 = 0 The bisection method is used to find a roots of th...

Q: 1: P: “Ahmad comes to the party", Q: "Salim comes to the party", R: "Khalid comes to the party", S: ...

A:

Q: and determinant of positive semidefinite matrices are

A:

Q: Here is the equation of a conic section such that the ordered pair (Vx, Vy) corresponds to its verte...

A:

Q: Let G be a finite group and H1, H2,…., Hk be subgroups of G. .... (a) Show that N H; = Hị n H2 n..n ...

A:

Q: Step Justification -(-v) + (-v) = 0 and v + (-v) = 0 --Select-- -(-v) + (-v) = v + (-v) transitive p...

A:

Q: r= 1+ 2 sin e.. Roughly Sketch the polar curve

A:

Q: Using bisection method compute the two real positive roots of the following trigonometric function. ...

A: When x = 1 we get f(1) = cos(2×1)+sin2×1+1-1 = 0.493 When x = 1.5 we get f(1.5) = cos2×1.5+sin2×1.5+...

Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1<x < 1, -1< y...

A:

Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rat...

A:

Q: Every natural number n has a base-60 expansion; that is, there exists k > 0, and for each i = 0, 1, ...

A:

Q: Find the perimeter of the loop of the curve 9y? = x² (2x + 3). O 2/3 units O 3/2 units O V3 units No...

A:

Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then alb.

A:

Q: Consider the three points A(-1,2,0), B(-4, 5,0) and C(-2,6, –4). You are given that, -3 AB = and AC ...

A: Consider the points A(-1,2,0), B(-4,5,0) and C(-2,6,-4) And Given AB→=-330,  AC→=-14-4 Projection of...

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

A:

Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A:

Q: 20. A frog is at the bottom of a 17-foot well. Each time the frog leaps, it moves up 3 feet. If the ...

A: Determine the net distance it moves in every leap. Use the net leaping distance and the fact that it...

Q: 3. Consider the following system of linear equations: x + 2y – z = -1 2.x + 2y + z = 1 3x + 5y – 2z ...

A:

Q: Problem (1): Show that there is only one automorphism, the identity function, of Q.

A: Since you have posted a multiple  question according to guildlines I will solve first   question fo...

Q: Hawis Tht compressive Stresf (T) of a rectangular beam sectionis given by the fakmutas 6 M bh? bh wh...

A:

Q: Find a basis for the subspace of R3 spanned by S. S = {(4, 4, 9), (1, 1, 2), (1, 1, 1)} STEP 1: Find...

A:

Q: use cramer's rule to solve the following system 2x1+x2-3x3=0 4x1+5x2+x3=8 -2x1-x2+4x3=2

A:

Q: the picture gives the equation, please answer the following two questions i typed below in a digital...

A: Given-  Maximize: P = 12x1 + 10x2subject to:5x1 + 3x2 ≤ 15x1 + x2 ≤ 4x1 ≥ 0, x2 ≥ 0 To find-  d) Is ...

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrang...

A:

Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: a Q#01:- Let W be the set of all vectors in R3 of the form where a and La + b! b are any real number...

A:

Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1< x < 1, –1< ...

A:

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: Since S contains zero vector, it is not linearly independent.  a(0, 0, 0) + 0(2, 4, 6) + 0(6, 3, 2) ...

Q: Solve the given differential equation by hand (showing all steps to the solution) using an appropria...

A:

Q: J0 t<4 Find L{g(t)} if g(t) =- t2 4

A: The Laplace transform of the function g(t) is represented as G(s) or L[g(t)], it is defined as ∫0∞e-...

Q: Find the determinant of the following: Kindly show the step-by-step solution. Thank you!

A: To find- Find the determinant of the following: 2 lnx01ex221ln2x-1

Q: Suppose the initial mass of a radioactive isotope was 80 g and the half-life of the material is T. T...

A: The half life corresponds to 12 of the given material  Therefore after three half lives 12×12×12 the...

Q: 1. Prove that if A is infinite and a E A, then A – {a} is also infinite.

A:

Q: Is the set {A, T,1} complete? Support your answer.

A: For a set of operators to be functionally complete, the set can be used to express all possible trut...

Q: The school that Huong goes to is selling tickets to a spring musical. On the first day of ticket sal...

A: Introduction: A system of linear equations is very significant in modelling real-life problems. Cons...

Q: 4. Fill in the blanks Let y be a solution of the differential equation + (1+)y = , where x > 0 such ...

A:

Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x) ...

A: