Consider all four-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 8 from this group? Enter a fraction or round your answer to 4 decimal places, if necessary.

Q: Which of the following straight lines is parallel to the line below 2y - 6x - 7 = 0 Select one: O a.…

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Q: 8) 2x+5y=5 x-4y=9

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Q: 3. Show that nonzero numbers x, y, and z are in geometric progression if and only if y² = =xz.

A: Given query is to prove that x ,y and z are in geometric progression.

Q: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. A = 70 3 25 3,…

A: The given matrix and its eigenvalues, A=703253-60-2, λ=5, 1, 4 We have to find the eigenspace.

Q: An exponential function f(x) = ab passes through the points (0, 6) and (3, 750). What are the values…

A: f(x)=abxgiven  passes throught  (0,6) and (3,750)

Q: 10x6 - x3 ( 7x6 + 2x3)

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Q: Equation Original Function f(x) = (x + 6)², x ≥ −6

A: The given function fx=x+62, x≥-6. We have to find its original function.

Q: Compute the quantity using the vectors u = 3 [3] - [³] and v= 5

A: The given vectors are, u=-33, and v=35 We have to find the quantity u·vv·vv.

Q: Solve the system of linear equations for X and y. Then calculate y-x. √x+y=7 3x + 2y = 17

A: Given query is to solve the system of equations.

Q: QUESTION 10 Use the appropriate rounding rules to do the following calculations. Express the result…

A: Given: Distance=275km             Time=3 hoursSpeed =DistanceTimeSpeed=275km3h

Q: 5 The inverse of the function f : x → ax + b, x € R, is f¹ : x → 8x – 3. Find a and b.

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Q: Find the quotient and remainder using long division. - 20x³ +33x² + 15x8 52 – 2 - The quotient is

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Q: Find the quotient and remainder using long division. x4 11x³ + 27x² + 23x - 32 6 X The quotient is…

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Q: 45 15 X2z

A: We have to solve above question

Q: By completing the square, the expression x² + 4x + 191 equals (x + A)² + B where A = and B =…

A: We will find the required.

Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

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Q: Compute the determinant using cofactor expansion along any row or column that seems convenient.   1…

A: Compute the determinant using cofactor expansion along any row or column that seems convenient.

Q: Which of the following represents 28=7times 4

A: Which of the following represents 28=7times 4

Q: Tyler has a large bag of mixed jelly beans that he is eating one at a time from. If the bag has 11…

A: nPr = n!/(n-r)!  Means number of ways in which r different things can be arranged  out of n…

Q: A jar contains 5 red marbles numbered 1 to 5 and 9 blue marbles numbered 1 to 9. A marble is drawn…

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Q: Question 1 Rewrite f(x) = 2x²+11x-21 c+3 in the form of f(x) = q (x) + (0) r(x) b(x) IN ORDER TO GET…

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Q: Problem. 6: Find f by solving the initial value problem. f'(x)=52²+82-7. f(2)=-3 f(2)= 4 Problem. 7:…

A: As per the rules, we are supposed to answer the first question and rest other can be reposted.

Q: . Determine whether or not the given matrix is stochastic. If so, determine if it is regular,…

A: The given matrix is: 10001130023

Q: Let x and y be two positive numbers whose sum is 175. Determine the values of x and y such that…

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Q: Determine the center and the radius for the circle: (x + 2)² + (y - 4)² = 9 Center of the Circl…

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Q: mine the center and the radius for the circle: (x + 4)² + (y + 3)² = 49 Center of the Circle

A: Given query is to find the centre and radius of the circle.

Q: QUESTION 4 If the common ratio is 1.25, what is the percent change? Include the percentage symbol…

A: We have to find the percentage change.

Q: 5. 4 boys 7 girls 8 boys girls

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Q: Given the sets: A = {21, 31, 51, 81, 91} and B= {31, 41, 61, 71, 91} and the relation R = {(x, y) /…

A: The given sets are A = {21, 31, 51, 81, 91} and B= {31, 41, 61, 71, 91}. The relation is R=x, y| x,…

Q: B and Care bases of R³. B = {2 0:0 1|} (a) гот The vector v has coordinate vector [v] B = = (b) Find…

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Q: -x + 3y = 5 y = 2x - 5 Solving Systems of Equations using Substitution

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Q: Find Pipie). The probability that someone likes pie. o Write your answer in decimal form. o Round to…

A: To solve the following problem

Q: Write the expression as a logarithm of a single expression. Assume that variables represent positive…

A: logxn=nlogxlogab=loga-logbloga.b=loga+logb

Q: • Perform the first 4 iterations of Gauss Seidel method and write the values of x, y, z • Perform…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Determine the monthly payment for the installment loan. Number of Annual Percentage Payments per…

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Q: Solve the triangle shown. Y a 21 68⁰ α 16

A: concept sine rule asina =  b sinb = csinc

Q: 4. Determine the common ratio, the 9th term, and the nth term of the geometric sequence. 5, 10, 20,…

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Q: The Log 24 = O a. 8 log 3 O b. log 3 x 3log 2 O c. O d. log 38 log 3 + 3log 2

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Q: 2 The function f:x+√√x-2+3 has domainx R and x > 2. a Determine the range of f. b Find the inverse…

A: The function f:x→x-2+3 has domain x∈ℝ and x>2.a To determine the range of f.b To find the inverse…

Q: log 34 log 3³ = = O a. log 3

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Q: If linear, find and interpret the rate of change. If exponential, find and interpret the percent…

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Q: The 17th term of an A.P. exceeds its 10th term by 7. Find the common difference. Show that 2√3-1 is…

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Q: r - 3s = 0 3r - 7s = 16 Solve by the substituting method

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Q: ) Lehts) Let W be the subspace of R³ spanned by the vectors Find the matrix A of the orthogonal…

A: Given vectors:- 131 and -6610

Q: Find the quotient and remainder using long division. x³ + x + 1 X - 1 The quotient is The remainder…

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Q: 5. Find the volumes of the following sugar containers. Round to Domino 1 decimal place. SUGAR a.…

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Q: Find the 100th term of the arithmetic sequence 14, 10, 6, 2.. Then find the sum of the first 100…

A: given  14,10,6,2.......given series is arithmetic progression nth term is    an=a+(n-1)dwhere  a is…

Q: unan bought a car priced at ​$15,700 for​ 15% down and equal monthly payments for four years. If…

A: Given query is to find monthly payment.

Q: Determine the points of intersection of the graphs of y = log(x + 4) and y = 3x + 2 with coordinates…

A: Here we have to find the point of intersection

Q: ← A die is rolled 8 times. Find the probability of rolling the following. Exactly 8 sixes. The…

A: Probability