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Find the weighted average of the numbers −4 and 5, with weight three-fifths on the first number and two-fifths on the second number.

−1
−0.4
0
0.5

User Mashiro
by
7.1k points

1 Answer

4 votes

Final answer:

To calculate the weighted average, multiply each number by its weight and add the results together. The weighted average of -4 and 5 with weights of three-fifths and two-fifths is -0.4.

Step-by-step explanation:

To find the weighted average of the numbers -4 and 5 with weights of three-fifths and two-fifths respectively, you multiply each number by its corresponding weight and then sum the results:

  • (-4) × (3/5) = -2.4
  • 5 × (2/5) = 2

Now, add the weighted numbers:

-2.4 + 2 = -0.4

Therefore, the weighted average of -4 and 5 with given weights is -0.4.

User IrishDubGuy
by
6.4k points