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qaws [65]
3 years ago
6

The formula I = PRT is used to calculate the amount of simple Teresa earned. Solve this formula for T

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

To solve this formula for T, divide both sides of the original equation by PR:

  I         PRT

------ = ---------   =>    T = I / (PR)

PR        PR

Please note:  Because the formula I = PRT involves neither addition nor subtraction, the final formula for T cannot involve either addition nor subtraction.  That leaves:

T = I P/R

T= IPR

The second formula here is incorrect; we cannot solve I = PRT for T simply by rearranging the order of the variables.  This leaves T = I P/R as a possible answer, but this answer does not agree with my   T = I / (PR).  Please double check to ensure that you have copied down the four possible answers correctly.


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Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

n = 9 i.e. the length of each security numbers

r = 2 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.

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So, total selection is:

Total = 2^9

Total = 512

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where n>m, 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.

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