Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.
1 answer:
Answer:
1,225 miles = 77616000 inches
Step-by-step explanation:
It is asked to find the number of inches in 1,225 miles
Given
1 inch ≈ 1.578 × 10^-5 miles
Therefore, 1 mile = 63360 inches
Therefore, 1,225 miles = 1225 x 63360 inches
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Therefore the final answer is
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
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Answer:
Proved
Step-by-step explanation:
From the given parameters, we have:
i.e. the length of each security numbers
i.e. 2 security numbers
Required
In 513 security numbers, 2 must have matching zeros
To do this, we make use of Pigeonhole principle.
First, we calculate the number of all security numbers not having matching zeros.
Each of the 9 digits can be selected in 2 ways.
2 ways implies that each digit is either 0 or not
So, total selection is:
Apply Pigeonhole principle
The principle states that: suppose there are n items in m containers, where , then there is at least one container that contains more than 1 item.
This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.