9. High school students in one school chose their favorite leisure activity. Find each probability. Round to the nearest tenth of a percent. a) P(sports | female) c) P(reading | male) Female Male Favorite Leisure Activities Sports Hiking Reading Texting 39 48 85 62 67 58 76 54 b) P(female | sports) d) P(male | reading) Shopping 71 68 e) P(hiking | female) Other 29 39

Q: d. It took of a gallon of paint to paint of a wall. How much paint will it take for the whole wall?…

A: For the each problem following, we need to determine if it is a problem for 23÷14 or for 14÷23, It…

Q: function f(x)=-x^(2)+2x-4, address the ave a maximum or minimum value?

A: We have a function:fx=-x2+2x-4 We have to check whether the function has maximum or minimum value.

Q: Use the table above to answer the following questions. By what percentage does the number of cases…

A: (a) The number of cases increased between week 0 and week 1 = 3585 - 3000 = 585 The number of cases…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. -1 × =…

A:

Q: The registrar reported that among 600 students, 517 registered for either a science or a language…

A: According to bartleby guidelines, we have to answer the first three parts if a question with…

Q: 4.) Use the substitution = arctan x to evaluate the indefinite integral. x²+1 dx

A: The substitution is given as  u=arc tanx Differentiating u with respect to x, we get, du=dxx2+1

Q: Consider a vector space V = span basis for V? REH [ {} 1-81-8} ONT 3 } Which one of the following is…

A:

Q: [1 4 5 Find the row space of 3 2 7 0 1 0

A: Given matrix is  A=145327010. Now we apply the following elementary operation on A: R2=R2-3R1, then…

Q: y"_y² = 2y = cosx 24

A:

Q: Check if the solution is correct. Correct the mistakes

A: The addition rule is not correct.

Q: Solve the following differential equation (by hand, on paper) dy=x-² dx where y(1) = 1 _ (x³ +c)¸…

A:

Q: Topic: Diffusion Equation u_t = aplha * u_xx with conditions: u(0,t) = 0 and u(0,L) = 0 Solve the…

A:

Q: 1) Consider the function C(x) = cos(t²)dt a) Find the derivative of C(x). b) On what intervals is…

A: A function Cx=∫0xcosπt22dx. To Find: a) Derivative of C(x). b) On what intervals is the function C…

Q: Solve the following system of inconsistent equations by minimizing its backward error

A: The solution is given by

Q: Nine more than half the number n is no more than -8 . Find n.

A:

Q: Find the area of the region bounded by the graphs of the given equations. Write the exact answer. Do…

A: Introduction:The area between two curves can be determined by computing the difference between the…

Q: Use the properties of logarithms and the logarithm log_(4)(x+3)+log_(4)(x-2)=log_(4)(4x+4)

A:

Q: Use the "mixed partials" check to see if the following differential equation is exact. If it is…

A: For the given differential equation we have to rewrite it as M(x, y)dx + N(x, y) dy= 0 then find if…

Q: A sequence a a = 2 0 a₁ = 9 1 ak = 5a Use Strong a n a a o' 1, 2² k-1 - бак for all integers k 22…

A:

Q: Solve the system of equations. If a system has one unique solution, write the solution set.…

A:

Q: # C G H Consider the graph given above. Add an edge so the resulting graph has an Euler path…

A:

Q: (1/y)+[x/(y^6)]-2*x At least one of the answers above is NOT correct. 2 of the questions remain…

A: First we check the equation is exact or not ..if not exact then we make it exact with the help of…

Q: (d) Compute the least common multiple of 336 = 24.3.7 and 180 = 2².3².5. Include an explanation of…

A: The given number is 336 and 180. To find the Least common multiple can be obtained by the prime…

Q: 1. We showed that if a differentiable function f on an open interval I has a local max or min atxo,…

A:

Q: A8. (a) State (without proof) the Intermediate Value Theorem. (b) Use the Intermediate Value Theorem…

A:

Q: An investor needs $18,000 in 16 years. (a) What amount should be deposited in a fund at the end of…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: What about b,

A: According to Bartleby guidelines we can solve only b part as your requirement. Since, there is no…

Q: 6. Find the area of the part of the surface z = x² - y², which lies in the first octant that is…

A: The given surface is z=x2-y2, To Find: Surface area of the above surface inside the cylinder x2+y2=1…

Q: (2k

A:

Q: 4. Let the torus T be the image of the map T(u, v) = (x(u, v), y(u, v), z(u, v)) = ((R+r cos v) cos…

A: Let the torus T be the image of the map. Therefore,…

Q: 16. Find the general formula for the recursive sequence below. an = an-1+2, ao = -2 17. Find the…

A: 16. We have to find the general formula for the recursive sequence:  an=an-1+2, a0=-2 17. We have to…

Q: . Find the inverse Laplace transform L¹. L' s² +6s+9 (s-1)(s-2)(s+4) f

A:

Q: (b) Let g € S10 be the element (1)(2 8 6 7)(3 5 4 9)(10), in cycle notation. Determine fg-¹, written…

A:

Q: Suppose f : A → A is a function and A has 7 elements. Prove each direction of the following…

A:

Q: 2. The Hill family took out a loan to have a swimming pool built in their backyard. The fifteen…

A:

Q: {5t sin²t}=

A: We have to find the L{5tsin2(t)} We know that sin2t=(1-cos2t)/2

Q: Suppose a population is growing according to the logistic formula N = 470 1 + 3e-0.41t' where t is…

A: We have to find the value of N and t

Q: 3. Let I: C([0, 1]) → C([0, 1]) be the function defined as (T(f))(x) = f**f(t)dt. (a) Show that I is…

A: The Arzela-Ascoli theorem is a fundamental theorem in functional analysis that characterizes…

Q: 4. Determine the exact equation of the tangent line to the function y = 3-4 cos at x = IT

A: According to the given data, find the tangent line of a function.

Q: Find bases for row(A) and col(A) in the given matrix using A'. 3-8031 A-[- -1 3 134 2-5165 row(A)…

A:

Q: 1. a. Calculate the exact value of the Riemann Sum for f(x)= on the interval [1,3]. Use n = 4…

A:

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: Given x=8cost and y= 9sint where 0≤t≤2π   t x y 0 8 0 π/2 0 9 π -8 0 3π/2 0 -9 2π 8 0

Q: Write a system of linear equations for the graph below. -8 -7 -6-5 4 0 -2 144 6 00 X 08 S

A: From graph we can find linear equations below

Q: 10+ 9 8 7 6 5 4 비 2 3 Based on the graph above, estimate (to one decimal place) the average rate of

A: As per the guidelines I am answering only one question at a time. Remember : Average rate of change…

Q: Let n be a positive integer. Prove the following: (i) 1³ +2³+ · +n³ = (1+2+3+…+n)². (Use induction…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 2. Evaluate the line integralf F.dr, where F(x, y, z) = (5x² + 6y) î− (3x +2y²)j + 2xz²k, and C is…

A:

Q: Consider the autonomous differential equation = P(100P), which could be used dt to model the number…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: (6) Let 3 A = 2 -1 0 2 -1 - (a) Diagonalize A; (b) Compute the cubic root of A; (c) Compute exp(A).…

A: A=3-1-220-22-1-1 Note: According to the guidelines we are allowed to solve one question at a time.…

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y(1.5) and y(2), of the…

A:

Q: 1. Solve the difference equations and analyze the time paths Yt+22yt+1 + 2y = 1, Yo = 3, V₁ = 4

A: We solve the differential equation and then find the time of path