Pregunta
Question 8 (Multiple Choice Worth 1 points) (04.03 MC) Find the weighted average of the numbers -4 and 5 , with weight \( \frac{3}{5} \) on the first number and \( \frac{2}{5} \) on the second number. \( 0-1 \) 0.0 .4 0.5
Ask by Bradley Goodwin. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The weighted average is \(-0.4\).
Solución
1. The weighted average is given by
\[
\text{Weighted Average} = (-4) \times \frac{3}{5} + 5 \times \frac{2}{5}.
\]
2. Compute each term:
\[
(-4) \times \frac{3}{5} = \frac{-12}{5}, \quad 5 \times \frac{2}{5} = \frac{10}{5} = 2.
\]
3. Add the two results:
\[
\frac{-12}{5} + 2 = \frac{-12}{5} + \frac{10}{5} = \frac{-2}{5}.
\]
4. Converting the fraction to a decimal gives:
\[
\frac{-2}{5} = -0.4.
\]
Thus, the weighted average is \(-0.4\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To find the weighted average, multiply each number by its respective weight and then sum the results. So, for -4: \(-4 \times \frac{3}{5} = -\frac{12}{5}\) And for 5: \(5 \times \frac{2}{5} = 2\) Adding them together: \(-\frac{12}{5} + 2 = -\frac{12}{5} + \frac{10}{5} = -\frac{2}{5}\), which is equal to -0.4. Looks like none of the provided answers fit, but if you're feeling adventurous about the math world, remember that weighted averages are like recipes—they require just the right mix of ingredients for a tasty result! And if you're stuck, don't hesitate to reach out—there's always someone willing to help clear up the confusion!
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
