Question 1 What is the correct matrix for the inventory of flats in sizes 10 and 12. BootsFlatsSneakers BlueGrayBlueGrayBlueGrayShoes Size 103591014Shoes Size 12202740 2 points Question 2 Evaluate 2 points Question 3 Evaluate Not possible 2 points Question 4 Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2. A x B will have dimensions 3 x 2. TRUE FALSE2 points Question 5 Evaluate 2 points Question 6 Evaluate Not possible 2 points Question 7 Find the determinant of 0 -8 8 102 points Question 8 Find the determinant of 0 6 -10 -52 points Question 9 If the graph of two linear equations cross at exactly one point they are called independent.TRUEFALSE2 points Question 10 The following system of equations has a solution. True False2 points Question 11 What is the solution to this system of equations? (-4, 4) (4, -4) (2, 4) (4, 2)2 points Question 12 Solve by the substitution method.y = 2x - 4 7x – 5y = 14 Question 13 Solve by the substitution method.4x + 3y = 13 x + y = 4 Question 14 Solve by the elimination method.2x + 3y = 18 5x – y = 11 Question 15 Solve by the elimination methods.9x + 2y = 2 21x + 6y = 4 Question 16 Solve using matrices.7x + 5y = 14 4x + 3y = 9(7, -3)(-3, 7)(3, -7)(7, 3) 2 points Question 17 Solve using matrices.x – 5y = -5 -4x – 2y = 20 No solution (-5, 0) (0, 1) (5, -2) 2 points Question 18 One number is 7 more than another number. The sum of the numbers is 63. What are the numbers? 10 and 7 30 and 37 28 and 35 54 and 9 2 points Question 19 Which of the following is NOT a solution to the system of inequalities? (2, 3) (1, 3) (0, 3) (0, 4) 2 points Question 20 What is the system of inequalities associated with the following graph? x + y > 22x – y > 1 x + y < 22x – y < 1 x + y > 22x – y < 1 x + y < 22x – y > 1 2 points Question 21 Solve using matrices.3x – 2y + z = -5 -2x + 3y – 3z = 123x – 2y – 2z = 4 (1, 0, -3) (1, -3, 0) (0, 1, -3) (0, -3, 1) 2 points Question 22 Solve using matrices.3x – y = -1 2x – y + z = -6x + 4y – z = 9 (0, 1, -5) (2, 7, -3) (1, 4, -4) (0, 1, 5) 2 points Question 23 The largest angle in a triangle is equal to the sum of the two other angles. The middle angle is twice the measure of the smallest angle. What is the measure of each angle? 32°, 64°, 90° 30°, 60°, 80° 30°, 60°, 90° 30°, 60°, 100° 2 points Question 24 Evaluate Question 25 Evaluate Question 26 If matrix A has dimensions 4 x 1 and matrix B has dimensions 1 x 5, can matrix A and matrix B be multiplied? yesno 2 points Question 27 If matrix A has dimensions 2 x 5 and matrix B has dimensions 5 x 5, can matrix A and matrix B be multiplied?yesno 2 points Question 28 Evaluate Question 29 Evaluate Question 30 Find the determinant of Question 31 Find the determinant of Question 32 Solve using the substitution method.x – 2y = 5 2x – 4y = 1 Question 33 Solve by the substitution method.y – 3x = 5 y + x = 3 Question 34 Solve using the elimination method.x – 3y = -17 -x + 8y = 52 Question 35 Solve using the elimination method.3x + 2y = 7 5x – 2y = 1 Question 36 Solve using matrices.4x + 5y = 40 x – y = 1 Question 37 Solve using matrices.3x + 5y = -4 x + 2y = -2 Question 38 Find the value of two numbers if their sum is 12 and their difference is 4. Question 39 What is the system of inequalities associated with the following graph? 3x + y ≥ -3x + 2y ≤ 4-3x – y ≥ -3x + 2y ≤ 43x + y ≥ -3x – 2y ≥ 43x – y ≤ 3x – 2y ≥ 4 2 points Question 40 What is the system of inequalities associated with the following graph? –x – y ≤ -3x + y ≥ 3 x + y ≥ -3x + y ≤3 x + y ≥ -3x + y ≥ 3 x + y ≥ -3x – y ≤ 3 2 points Question 41 Solve using matrices.x – 3y + z = -9 x + y – 3z = -53x – y + z = 11 Question 42 Which matrix represents the image of the triangle with vertices at (-2, 0), (1, 5), and (4, -8) when reflected over the line, y = -x?

Imagine if you were offered a job in a different state and a major consideration for you is rent prices (assuming you planned to rent instead of buy). Your main concerns are the affordability in relation to your income and the location/condition of the property. Perhaps you would look for the cheapest rent possible within a quiet, residential community. Or, you might be willing to spend at little more than average to live in the heart of downtown. As you research the city, you learn that the mean for rents of your preferred home size are $1,300 a month. Many people might base their decision on this number alone, but you—equipped with the knowledge of standard deviation—know there is more to that number.If the most you could afford is $1,100 a month in rent, then a standard deviation of $250 might be good news because the amount you can afford is still within 1 deviation of the mean. With a standard deviation of $75, however, you might be unwilling to make the sacrifices necessary to rent a place that you could afford. Additionally, if you were willing to spend a little more than average to live in a nice place or area, then you could easily find an amazing place with a standard deviation of $100 but might not be able to afford the upgrade with a standard deviation of $300.In this Discussion, you will use the data that you gathered in the Week 1 Discussion to calculate a standard deviation and explain how this concept can affect decision making.Locate the data that you gathered for the Week 1 Discussion.Calculate the sample standard deviation from your cigarette price data in Week 1. Use that (and your sample average and sample size) to calculate the following (assuming a normal distribution):Within what range would you find 90% of cigarette prices in your area?What are the chances that someone in your area would pay 4 dollars or less per pack?What are the chances that someone in your area would pay 10 dollars or less per pack?Week 1 is attached