Question

Стандартный вид числа. Урок 2 Расстояние от города A до города B равно (125 ± 1) км. Длина карандаша равна (20 ± 1) cм. Найди, на сколько процентов выше качество измерения расстояния между городами, чем качество измерения длины карандаша, оценив разность их относительных погрешностей. ПОЖАЛУЙСТА СКАЖИТЕ ОТВЕТ​ УМОЛЯЮЮЮЮ НУЖНО СРОЧНО

Answer 1

Ответ:

4,2 процента

Объяснение:

Answer 2

Calculation of Relative Error for Distance and Length Measurements

To find the difference in the relative errors between the distance measurement and the length measurement, we need to calculate the relative errors for each measurement and then compare them.

Let's start by calculating the relative error for the distance measurement between cities A and B. The given distance is (125 ± 1) km. The relative error is calculated by dividing the absolute error by the measured value and multiplying by 100.

The absolute error for the distance measurement is 1 km. Therefore, the relative error for the distance measurement is:

Relative Error for Distance = (1 / 125) * 100 = 0.8%

Next, let's calculate the relative error for the length measurement of the pencil. The given length is (20 ± 1) cm. The absolute error for the length measurement is 1 cm. Therefore, the relative error for the length measurement is:

Relative Error for Length = (1 / 20) * 100 = 5%

Now, let's find the difference in the relative errors between the distance measurement and the length measurement:

Difference in Relative Errors = Relative Error for Distance - Relative Error for Length

Difference in Relative Errors = 0.8% - 5% = -4.2%

The negative sign indicates that the relative error for the length measurement is higher than the relative error for the distance measurement. The magnitude of the difference is 4.2%.

Therefore, the quality of the distance measurement between cities A and B is approximately 4.2% better than the quality of the length measurement of the pencil.

Please note that the calculations above are based on the given information and assumptions about the measurement uncertainties.