Given that P(A) = 0.06, P(B) = 0.23, and P(A and B) = 0.0258, are events A and B independent? Yes, they are independent No, they are not independent

Q: Find an equation of the tangent plane to the surface x = u² + 1, y = v³ + 1, z = u + v at the point…

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Q: Let A be a 3 x 3 matrix such that A4 - 3A³ + 4A² - 613 = 0. Then, A is invertible and (4³-3A²+ 4A)…

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Q: 4. A certain Arithmetic Sequence has the terms a5 = -80 and a40 = 60, a. What is the simplified an,…

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Q: The number of cable TV subscribers has been declining by 4 percent per year nationwide since 2008,…

A: Let's find.

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Find the angle between the vectors u = (1, −1) and v = (0, 1).

A: Given query is to find the angle between the vectors.

Q: Solve the following system of equations. y=x²-8x -2x+y=-21 If there is more than one solution, use…

A: To solve the system of equation: y= x2-8x               ..(1)-2x+y =-21        ..(2) From (2) we can…

Q: The one-to-one function fis defined below. f(x) = ³√/3-x+10 Find f '(x), where f¹ is the inverse of…

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Q: Find the value of the sum 4 +7 +10 +13 + ... +124.

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Q: Devonte wants to build a rectangular enclosure for his animals. One side of the pen will be against…

A: Total fencing = 900 feet 2w+l=900l=900-2w

Q: Find theta from this equation 6901551.272 2 * cos (sin-¹ (0.25 sin e)) + 193600 <34.5

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Q: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

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Q: Use the table below to find the compositions: X -9 -7 -4 -3 0 1 4 12 f(x) -3 0 1 -4 -9 -7 4 12

A: (f°g)(-7)=f(g(-7)=f(-4)=1(g°f)(1)=g(f(1)=g(-7)=-4

Q: 28. (3, 2) and (9.4)

A: To find the distance between the given two points.3, 2 and 9, 4

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 4 -…

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Q: 8. The region enclosed by the circle with equation + y² = 5 and the +². line x = 1, shown shaded in…

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Q: and the projection pros

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Q: How many small cubes will have a paint on: a. just one face? b. two faces? three faces? How many…

A: Follow the procedure given below.

Q: The cost function for a certain company is C = 30x + 600 and the revenue is given by R = 100x −…

A: Explanation of the answer is as follows

Q: Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for…

A: We can find the answer in the following steps,

Q: 5. Company XYZ produces Head Light and Rear Light for motorcycle. Standard time to produce 1000…

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Q: Yasmine have 168 stamps and Dominic have 213 stamps. After they gave away an equal number of stamps.…

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Q: How long will it take for $3,200 to double if it is invested at 6% annual interest compounded 12…

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Q: 6. Use the following trigonometric ratio to determine all theta values to the nearest degree between…

A: Given query is to find the value of theta.

Q: 4. How many sets does the algebra A=(0, X, A, B,C,.....) contain? (This is the smallest algebra…

A: Given that smallest algebra containing { A, B, C }.  We have to find how many sets does the algebra…

Q: 31. How many two digit combination can be formed using digits from 0 to 9? * 041 0 43 0 45 0 47

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Q: Find the average rate of change for f(x)=x^2-3x-10 from x=4 to x=6.

A: Use average rate concept

Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1 HINT:…

A: Given  which is true in following condition

Q: On May 6, May Payment makes a purchase of $258.50 on her credit card. The purchase appears on her…

A: The question seems to be very tricky and confusing

Q: Let T: P₂ (R) → M2x2 (R) be defined by T(P) = p'(0) p'(1) Find the matrix associated to T with…

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Q: 5. Let A = [3-21 41 1 + 61], and B = [5+ 2-31 5]. Find (1-21) 4+ (3 + 1) B. 2+4i] 6. Given A= [3-5i…

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Q: Solve the system of equations . 5x - y = 5 5x ^ 2 - y = 5 (0, 5) and (0, - 5) (1, 0) and (0, - 5)…

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Q: 60.x = x + 3 1 2 3

A: Let us consider the expression, ax+b= cx+d  So, x(a-c)= d-b  So, x= (d-b)/(a-c) is the required…

Q: Elwood

A: We will find the number of light switches and rolls of wire

Q: Find the sum of the geometric series with a₁ = -1, r= 3, n = 9 O-8278 O-9841 O-9746 O 1/2

A: Given query is to find the sum of the geometric sequence.

Q: Given: f(a) = a Find f(g(a)) + 3 and g(a) = 4a f(g(a)) =

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Q: Find the converse, inverse, and contraposition from the following implications! 8 1.If the sun does…

A: We have to find converse inverse and contraposition statement.

Q: A textbook company will ship a box of textbooks to college students. The weight of the box in pounds…

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Q: Find the domain and range of the function graphed below. Enter answers using interval notation. 3 2…

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Q: Which statement is true? OA. There is not enough information to determine the rate of change of…

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Q: Solve the System. Give answer as (x, y, z). 4x+6y-z = - 20 8x6y-6z = -56 -16x6y + 3z = 76 (x, y, z)…

A: We have to find solution

Q: In 2010, the botanical gardens released 15,000 ladybugs to assist with garden pest control. The…

A: To find the exponential function.

Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: 3. List all elements of the cyclic subgroup of Z12 generated by 5

A: Solving

Q: Find the linear function with the following properties. f(0)=−4 Slope of f=−8

A: We can find the linear function as below.

Q: The exponential function describing the celebrity's number of followers is

A: answer is in next step

Q: What is the value of x+y+z? Find x and B, if B =[2x+3x+2 is symmetric. -3

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Q: 12121x2-04:0

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Q: Determine if the following system is consistent: y - 4z = 8; 2x - 3y +2z = 1; 5x - 8y +7z = 1

A: Given:  y - 4z = 8; 2x - 3y +2z = 1; 5x - 8y +7z = 1