Pregunta
Check here for instructional material to complete this problem. Let \( 2.58<\mu<10.2 \) represent an interval on the number line. Complete parts (a) and (b) below. (a) Find the value that is in the middle of the interval. The value is 6.39 . (Type an integer or a decimal. Do not round.) (b) Find the distance from the middle of the interval to either endpoint. The distance is (Type an integer or a decimal. Do not round.)
Ask by Cruz Willis. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The midpoint of the interval is 6.39, and the distance from the midpoint to either endpoint is 3.81.
Solución
1. The midpoint \( M \) of the interval from \( \mu_1=2.58 \) to \( \mu_2=10.2 \) is calculated by the formula:
\[
M = \frac{\mu_1+\mu_2}{2} = \frac{2.58+10.2}{2} = \frac{12.78}{2} = 6.39.
\]
2. The distance \( d \) from the midpoint to either endpoint is the difference \( |M-\mu_1| \) (or equivalently \( |\mu_2-M| \)):
\[
d = 6.39 - 2.58 = 3.81.
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To find the distance from the middle of the interval to either endpoint, you first need to determine how far the midpoint (6.39) is from one of the endpoints. You can use either endpoint, but let’s use 2.58 for this example. The distance is calculated as follows: \[ \text{Distance} = | \text{Midpoint} - \text{Endpoint} | = | 6.39 - 2.58 | \] So the distance is \( 6.39 - 2.58 = 3.81 \). Therefore, the distance from the middle of the interval to either endpoint is 3.81.
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
