4. The table below shows hair color and eye color. Eye color Hair Color Brown Blond Red Brown 60 40 20 Black 50 20 10 Green 30 50 40 Blue 40 70 50 a. Find the probability that one person selected from this list has red hair and blue eyes ( b. Find the probability that a person has red hair or blue eyes (

Q: 3. Find explicit formulas for each of the following sequences: . (a) an=4+3an-1, ag = 6

A: The given sequence, a) an=4+3an-1, a0=6 We have to find an explicit formula for the sequence.

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A:

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A: For the function: fx, y, z: The absolute errorδf is calculated using the formula: δf=fxδx+fyδy+fzδz.…

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

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Q: 1+ n/courses/39000/quizzes/75970/take/questions/778862 Question 10 An inscribed angle has a measure…

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Q: What is the probability of getting a sum of 20 when rolling three fair six-sided dice?

A: We know, Probability of an event E is defined by PE=Number of favorable outcomeTotal number of…

Q: need B and C of this answered

A: Given

Q: ...9 Let A be a subset of {1, 2, 11} such that |A| = 7. Prove that there exist ï, y ¤ A such that ï…

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Q: In each of the following determine whether the set U is a subspace of the given vector space V. (a)…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Use graphical method in solving for the linear prog Maximize: Z = 3x + 2y Constraints: 2x + 3y ≤ 12…

A: To Solve: the LPP problem using Graphical method: Maximize z=3x+2y. Constraints:  2x+3y≤12. 2x+y≤8.…

Q: Exercise 2. Let X be a topological space. Endow Xx X with the product topology. Consider the map f:…

A: We have to give an example of a topological space X such that the diagonal is not closed in X×X

Q: Identify the extraneous solution-s in the given rational eq. x² + 15x + 56 x + 7 = 0 =

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Q: r(t) = (√√8 — t, ¹-2², t cost). A) Find the domain of r(t). B) lim r(t) =? t-0 c) [ r(t)dt =?

A: Given vector function r(t). Let r(t) = < f(t), g(t), h(t)>

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Q: Find the length of the curve y = 16 + for 1 ≤ x ≤ 2.

A: We know, the length of a curve given by a function y, which is differentiable at an interval x∈a,b…

Q: 4. While setting up a game of bowling, someone decided to increase the same, but non-standard,…

A: There were 10 rows in total, and pins were added in the following pattern: 2, 4, 6, 8, 10, 12, 14,…

Q: A consumer is maximising her utility function: U(x, y) = (x¹/3+y¹/3) ³, subject to the budget…

A: This is the problem of optimization.

Q: A set in R² is displayed to the right. Assume the set includes the bounding lines. Give a specific…

A: Formula: The set H is said to be subspace of R2  if 1) The zero vector (0,0)  is in R2 2) If  u,v∈R2…

Q: find the domain (d) , range (r ) and asympote (a) of the graphof the function f(x) = (3/5) ^6x  A.…

A: Given function is  fx=356x The domain, range and asymptote of the graph of the function are…

Q: Let B and C be bases for P2. If B= {x, 1 + x, 1 -x + x2} and the change-of-basis matrix from B to C…

A: It is given that,  B and C be the bases for P2  and  B = x, 1+x, 1-x+x2. The change of bases matrix…

Q: A) f(x, y) = x² - 3y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or sh that…

A: This is a question from Multivariable Calculus.

Q: The function f(x, y) = sin(√7+ x - y) given. Which of the following is correct? Select one: O It is…

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Q: c. As the softball sails through the air, a defensive player raises her hand and catches the ball in…

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Q: Draw the graph of the given rational function. S(x) = = 16x²9 (4x - 3)³

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Q: Identify the type of differential equation (noting the best way to solve them): xy + y = =/=/2 y²

A: The given differential equation is xy'+y=1y2 We have to identify the type of given differential…

Q: Use Newton's method to approximate a root of the equation 5x^3+5^x+2=0 as follows. Let x1=−2 be the…

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A: We will find force on a horizontal slice and then integrate it to find force on entire gate

Q: дz дz Solve the Lagrange equation: x(2² - y²) 0% + y(x² - z²) 1 = z(y2 − x²) ?х ду

A:

Q: Exercise 5. (Let X,Y be two connected topological spaces. Consider AC X and nd BCY} 1) Assume that…

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Q: Identify the extraneous solution-s in the given rational eq. (₁²5) (²+²+²) = ; 6/ x 6/ 1 x² + 12x +…

A: There are certain formulas to remember and we should remember them correctly. Here are some of those…

Q: 14) Find a remainder after dividing 2300 on 3.

A: We have, 22≡1 (mod 3) ⇒22150=1150( mod 3) ⇒2300=1(mod 3)

Q: Prove or disprove the following: (a) If X and Y are path-connected, (b) If A CX is path-connected,…

A: Let X and Y be topological spaces. We need to prove or disprove the following: If X and Y are…

Q: Select the mathematical expression that is equivalent to the sum -n-2 2j+1 a. Σ= 2* b. Σ= 2*+1 C.…

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Q: Identify the solution set in the given rational inequality. x² - 8x + 15 x² - 2x + 1 ≥ 1

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Q: Two factories produce three different types of kitchen cutting appliances. The following table…

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Q: 8. Let p be prime and a an integer not divisible by p. Prove that if a2"-1 (mod p), then a has order…

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Q: find all the critical points for the given system and discuss the stability of the corresponding…

A: The system of differential equations given is as follows: dx1dt=x3-x32dx2dt=-x1dx3dt=x2 The critical…

Q: Identify the solution set in the given rational inequality. (x - 5)² x² 25 x - 5 x + 5 + ≥ 0

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Q: Each person tries to balance his or her time between leisure and work. The tradeoff is that as you…

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Q: Prove that 4n++ 3n³+ n-3n² is O(n).

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Q: B. What is meant by complex conjugate of a complex number? Using an example show how division of…

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Q: 15) X1+X2 +73=0 2х -4Xг - 3x3 =0 32, -3х2 - 273 =0

A:

Q: Find an equation of the plane passing through the three points: (1, -2, 1), (-1, -1, 7), (2, -1, 3).

A: Introduction: An equation of the plane passing through the points a0,b0,c0, a1,b1,c1, and a2,b2,c2…