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.
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Here are the solutions for the questions: QUESTION 2 2.1 Calculate (in a simplified fraction) the probability of choosing a green marble. Step 1: Identify the number of green marbles and the total number of marbles. Number of green marbles = 4 Total number of marbles = 40 Step 2: Write the probability as a fraction. P(Green) = Number of green marblesTotal number of marbles = (4)/(40) Step 3: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 4. P(Green) = (4 ÷ 4)/(40 ÷ 4) = (1)/(10) The probability of choosing a green marble is: (1)/(10) QUESTION 3 3.1 Solve for y in the following diagram: Step 1: Identify the relationship between the angles 2y and y. The angles 2y and y are adjacent angles on a straight line. Angles on a straight line sum to 180^. Step 2: Set up the equation and solve for y. 2y + y = 180^ 3y = 180^ y = (180^)/(3) y = 60^ The value of y is: 60^ 3.2 Consider the diagram alongside. Write down (with reason) the value of x: Step 1: Identify the relationship between the angle 75^ and angle x. The angles 75^ and x are vertically opposite angles. Step 2: State the value of x and the reason. Vertically opposite angles are equal. Therefore, x = 75^. The value of x is: 75^ (Reason: Vertically opposite angles are equal) Last free one today — make it count tomorrow, or type /upgrade for unlimited.