Respuesta :
Answer:
[15.375,15.384]
Step-by-step explanation:
#To obtain the error interval, we first need to obtain all numbers than can be rounded off to 15.38.
-Our numbers are (From the lowest):
15.375,15.376,15.377,15.378,15.379,15.380,15.381,15.382,15.383,15.384
From this list, our error interval is [15.375,13.384]
The error interval needed is [15.375, 15.385)
Given that:
A number 'x' rounded to 2 decimal places = 15.38
According to the rules of the rounding of number, we surely know that
x must be in [ 15.375, 15.385) since if x is outside of this interval, then rounding to two places of decimal won't lead to 15.38.
Since x can't be 15.385 itself since that rounds up to 15.39
Or:
[tex]15.375 \leq x < 15.385[/tex]
Thus we have :
[tex]Error \: interval = [15.375,15.385)[/tex]
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