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

Mathematics

1 answer:

alekssr [168]3 years ago

4 0

Answer:

$3.65 \leqslant x \leqslant 3.75$

Step-by-step explanation:

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 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

$3.65 \leqslant x \leqslant 3.75$

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Answer: $scale\ factor=230$

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

$actual\ height=2\ cm$

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Therefore, the scale factor will be:

$scale\ factor=\frac{projected\ heigth}{actual\ heigth}$

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

$scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230$