3 years ago

A number, x, rounded to 1 decimal place is 3.7 Write down the error interval for x.

1 answer:

7 0

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x<3.75}.

Step-by-step explanation:

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For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
$x + y \leq 25

y \geq (x - 3) ^ 2
$
The solution to the system of inequations is given by the shaded region.
Note: see attached image.