Many phenomena – from stock market prices to census data to heat capacities of chemicals – obey Benford’s Law. This law states that for a set of numerical data, the proportion of numbers starting with the digit ? is approximately log10 (1 +1/D) Show that Benford’s Law predicts that around 30% of numbers will start with a 1, and around 18% will start with a 2. What proportion of numbers does the law predict will start with a 9? Without using your calculators, show that 9∑ log10 (1 + 1/D)=1 D=1
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Many phenomena – from stock market prices to census data to heat capacities
of chemicals – obey Benford’s Law. This law states that for a set of numerical
data, the proportion of numbers starting with the digit ? is approximately log10 (1 +1/D)
Show that Benford’s Law predicts that around 30% of numbers will start
with a 1, and around 18% will start with a 2.
What proportion of numbers does the law predict will start with a 9?
Without using your calculators, show that
9∑ log10 (1 + 1/D)=1
D=1
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