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The amount of substance left of a radioactive element of half life, 
after a time, t, is given by:
Given that <span>potassium-40 has a half life of approximately 1.25 billion years.
The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:
Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>
Given that <span>potassium-40 has a half life of approximately 1.25 billion years.
The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:
Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>
Answer:
a) 0.35
b) 420 drawing pins
Step-by-step explanation:
a) The question relates to the relative frequency of the pins pointing up which is found by the formula as follows;
The total number of pins land 'point up' = 3 + 5 + 6 + 2 + 4 + 7 + 3 + 3 + 4 + 5
The total number of pins land 'point up' = 42 successful trials
Total number of trials = 12 × 10 = 120 trials
Due to the large number of trials, the relative frequency ≈ Probability and the probability that a single pin will land point up = 7/20 = 0.35
b) Given that the number of trials now = 12 × 100 = 1200, we have;
The expected number of drawing pins in total that would land point up = 0.35×1200 = 420 pins.