Find the probability of the compound event of rolling a die four times without obtaining a 4, 5, or 6 on each roll

Q: A company has 15 employees with a salary of $20,800, 11 employees with a salary of $24,200, 18…

A: We can find the mean salary of the employees as below.

Q: Find the domain and range of the function graphed below. y 2 1.5 1 0.5 -0.5 -1 -1.5 -2F 50 X 100 150…

A:

Q: Consider the system Choose h and k so that the system has (a) no solution (b) a unique solution (c)…

A: Given the system is x1 + hx2 = 2 4x1 + 8x2 = k

Q: (a) Find the value of x in the following equation +2x = + 72 (b) Express the following as a single…

A: Please see the answer below.

Q: 2х + 5y 3x + 9y -1 -3

A: answer is in next step

Q: then a 2 d det b 2 e с 2 f 5 d a det b 7 e C 9 f C = = and a 1 d a 1 d] ----- det b 1 e = -5, and…

A:

Q: □ O 1. Choose the correct answer. Find the quadratic equation given the points (-4, 0), (2, 0), and…

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Q: Find a set of vectors {ū, v} in Rª that spans the solution set of the equa W - = x = y + 4z 0, 5w+…

A:

Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

A: Answer is in step 2.

Q: This furniture business makes tables and chairs. In each chair, It takes three hours to make the…

A: We need to maximize the profit.

Q: 3. a) Solve the following using Gauss elimination: x₁ + x₂ + x3 = 2 2x₁ + 3x₂ + 4x3 = 3 X₁ - 2x₂x3 =…

A: Answer is in below steps.

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. 26-6] A =…

A:

Q: 24 Factor the following matrix into PA = LU. Factor it also into A = L₁P₁U₁ (hold the exchange of…

A:

Q: This next example is long but will illustrate the key difference between EXPONENTIAL FUNCTIONS and…

A: This question can be solved using the concept of linear growth and compounded growth.

Q: - 0.1489 9.8m/s² 2 (v.cos(49.39))²

A: Find your answer below

Q: point(s) possible Solve the following logarithmic equation. Express irrational solutions in exact…

A:

Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 2 0…

A:

Q: 10. Lydia will derive the formula for the series Sa+ar+ar+ar+ Omultiply both sides by r add r to…

A: The series is given by S = a+ar+ar2+ar3+···+arn To determine: Lydia's first step to derive the…

Q: 14. The property tax on a $31,000 car is $1767. At this rate, what is the property tax on a car…

A: topic - rate and percentage

Q: Sarah is building a garden in her background. She has 120 m of fencing to put around the edge of her…

A: Fencing of Sarah's vegetable garden is 120m. As she wants to divide the garden into 3 separate…

Q: 6. In the graph below, what are all values of 2 for which y = 0? T el N N ● - 3, - 1, 0, and 2 O-3,…

A: from the given information in graph we find x intercept or value of x when y is equal to 0

Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a - 4b + 2c + 2d = 4 2a + 2b − c + 2d = 4 a +…

A: Let us write the Augmented  matrix 12-146-1-422422-12412104

Q: Use the properties of logs to expand: a) log3 √x-9 7x b) logo sy c) logs 178 d) log2 (5x + 1)³

A:

Q: Describe how 1 g(x) = = -f(x) f(x) transforms the graph of the parent function f(x).

A: Given :   Therefore g(x) is reflected.

Q: 5 The function f(x) = is one-to-one. 3+x (a) Find its inverse and check your answer. (b) Find the…

A: Explanation of the answer is as follows

Q: Exercises 21 -24: The table is a complete representation of f. Use the table to determine if f is…

A:

Q: [13] 01 IfA= OA. 900 OB-1 OC-900 OD.3300 OE1 Reset Selection find the (1,2)-entry of A300

A:

Q: 2 4√5 9 3√5 15 10. Choose the correct answer. Solve by using the quadratic formula. Check all that…

A: Given problems:- 10   solve using quadratic formula x2 -5x-14=0 11. Simplify √5 √45

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

A: This is a problem related to function. Based on the given constraint we will solve the problem.

Q: (0.255 20.065025 Coro 650 + 1,02x + 4x) x = 4x³ + + 2x)² x = 8.1 x 10-12 + 2x2x0-255 + + 2x2x0-255 +…

A:

Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: Consider

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4V₁ +5√₂), v…

A:

Q: n artifact contains 42% of the Carbon-14 that it originally had. How long ago was the art The…

A: Given the query is to find the age of the artifact.

Q: Q 2. Choose the correct answer. How many real roots does the quadratic equation 4² -12a +9= 0 have?…

A: We have to find the number of real roots.

Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 12% of the…

A:

Q: A movie club surveyed 150 high school students. The students were asked how often they go to the…

A: This is a problem related to percentage parts of the mathematics. Based on the formula of percentage…

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: Consider the graph of g(x). y 6- 5.5 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 (a) Estimate g(100). g(100) = (b)…

A:

Q: se-2 log table (printed in

A:

Q: (b) Prove that -1+²+...+x+ 1 is irreducible over Z if and only if n is a prime

A:

Q: 27. Diagonalize the following matrices, if possible. 0 (a) L (b) 3] 5 (c) [13] 21 (d)

A: Given

Q: (1) (2) (a) Evaluate 27 64 1 23 (b) Factorize the following completely 8x²y-2y²x

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: a. Define gradient of a function. State the gradient and intercept of: 2y+ 8 = 6x b. Solve the…

A: Let's find.

Q: 16. Find the determinant by row reduction to echelon form. 5-4 (a) -1 -4 -2-8 (b) 7777731 457 30 2…

A:

Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: Find the inverse of the function. h(x) = 2x h-¹(x) =

A: Let, h(x)=y=2x

Q: a. Sign of the leading coefficient D. Vertex C. Axis of symmetry d. Intervals where f is increasing…

A: Given query is to find the character of the function.

Q: Consider the following statements: p: 5 is an integer. q: √3 is an integer. r: 2 divides 4.…

A:

Q: [ 2 3 13 13 14 2 3 13 R₁ R₂ 1 3 14 R₂R₂ Given the matrix perform the indicated row operations.…

A:

Q: A parabolic arch forms a structure that allows equal vertical loading along its length. 160 ft 100…

A: