2.A lab class conducts a 1000 trial scattering probability experiment. Nine (9) target marbles were used on a 46.0 cm wide board. The marble diameter was calculated to be 1.48 cm.
1.How many hits were recorded during the experiment?
2.If the standard value for the marble diameter is 1.55 cm, what is the probable percent error in the experimental marble diameter?
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1. To find the number of hits recorded during the experiment, we need to know the scattering probability and the number of trials. Unfortunately, the scattering probability is not mentioned in the question. If we assume a scattering probability of 1 (meaning all marbles hit the target), then we can calculate the number of hits as follows:
Number of hits = Scattering probability * Number of trials
= 1 * 1000
= 1000 hits
However, since the scattering probability is not given, we cannot accurately determine the number of hits recorded during the experiment.
2. To calculate the probable percent error in the experimental marble diameter, we need to know the actual value for the marble diameter. In this case, the standard value for the marble diameter is given as 1.55 cm.
Probable percent error can be calculated using the formula:
Percent Error = | (Experimental Value - Actual Value) / Actual Value | * 100
Let's calculate the probable percent error using the provided information:
Probable percent error = | (1.48 cm - 1.55 cm) / 1.55 cm | * 100
= | -0.07 cm / 1.55 cm | * 100
= 0.045 * 100
= 4.5%
Therefore, the probable percent error in the experimental marble diameter is 4.5%.