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question 1-9 look at the number line the weight of point a is 3, and th…

Question

question 1-9 look at the number line the weight of point a is 3, and the weight of point b is 2. what is the weighted average of a and b?

Explanation:

Step1: Identify values and weights

Value of $A = 2$, weight of $A = 3$; value of $B = 8$, weight of $B = 2$.

Step2: Apply weighted - average formula

The weighted - average formula is $\frac{\sum_{i = 1}^{n}w_ix_i}{\sum_{i = 1}^{n}w_i}$. Here, $x_1 = 2$, $w_1 = 3$, $x_2 = 8$, $w_2 = 2$. So, $\frac{3\times2 + 2\times8}{3 + 2}=\frac{6 + 16}{5}=\frac{22}{5}=4.4$.

Answer:

4.4