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nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people should nathan expect to return a smile if he smiles at 650 people over a period of time

Sagot :

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

[tex]R = \dfrac{36}{50}[/tex]

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

[tex]\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468[/tex]

Therefore, number of smiles Nathan expect to return is 468.