This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the answers to your questions: 15. To present the information on a histogram: The table provided shows the "No. of Student (y)" as 2, 6, 8, 3, 2, 1. However, the corresponding "marks (x)" are not clearly visible or defined as class intervals. A histogram requires data grouped into continuous class intervals. Without these class intervals for the marks, it is not possible to accurately draw a histogram. 16. To find the inverse of the matrix and solve the simultaneous equations: Step 1: Write the system of equations in matrix form AX = B. The given equations are: 2x + y = 21 3x + 2y = 34 This can be written as: 2 & 1 \\ 3 & 2 x \\ y = 21 \\ 34 Let A = 2 & 1 \\ 3 & 2 , X = x \\ y , and B = 21 \\ 34 . Step 2: Find the determinant of matrix A. For a matrix a & b \\ c & d , the determinant is ad - bc. (A) = (2)(2) - (1)(3) = 4 - 3 = 1 Step 3: Find the inverse of matrix A. The inverse A^-1 is given by (1)/((A)) d & -b \\ -c & a . A^-1 = (1)/(1) 2 & -1 \\ -3 & 2 = 2 & -1 \\ -3 & 2 The inverse of the matrix is 2 & -1 \\ -3 & 2 . Step 4: Solve for X using X = A^-1B. x \\ y = 2 & -1 \\ -3 & 2 21 \\ 34 Perform the matrix multiplication: x = (2)(21) + (-1)(34) = 42 - 34 = 8 y = (-3)(21) + (2)(34) = -63 + 68 = 5 Step 5: State the solution for x and y. The solution to the simultaneous equations is x = 8 and y = 5. Last free one today — make it count tomorrow, or type /upgrade for unlimited.