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 some objective questions and solutions on statistics and plane geometry. 1. Find the mean of the following set of numbers: 2, 5, 8, 3, 7. a) 2 b) 5 c) 7 d) 8 Solution: Step 1: The mean (or average) of a set of numbers is calculated by summing all the numbers and then dividing by the count of the numbers. Sum = 2 + 5 + 8 + 3 + 7 Step 2: Calculate the sum of the numbers. Sum = 25 Step 3: Count how many numbers are in the set. There are 5 numbers. Mean = (Sum of numbers) / (Count of numbers) Mean = (25)/(5) Step 4: Perform the division. Mean = 5 Answer: b) 5 2. In a triangle, two of the angles measure 60° and 70°. What is the measure of the third angle? a) 50° b) 60° c) 70° d) 80° Solution: Step 1: The sum of angles in a triangle is always 180°. Let the third angle be x. 60° + 70° + x = 180° Step 2: Add the known angles. 130° + x = 180° Step 3: Subtract 130° from both sides to solve for x. x = 180° - 130° x = 50° Answer: a) 50° Got more? Send 'em 📸