A random sample of 205 people in a town was surveyed about the kind of pet they owned. 43 of the people in the survey said that they own a dog. The total population of the town is 10,250 people. What would be a reasonable prediction of the number of people in the total population that own a dog?

Respuesta :

43 / 205 = x / 10250
Amount of people with a dog and surveyed devided by the surveyed amount of people must equal
The total amount of dogs devided by the total amount of people
10250 * 34 / 205 = 2150

Answer:

The reasonable prediction is 2150 people.

Step-by-step explanation:

A random sample of 205 people in a town was surveyed about the kind of pet they owned.

43 of the people in the survey said that they own a dog.

The total population of the town is 10,250 people.

Let there be x people who has digs out of the total population.

So, the relation forms;

[tex]\frac{43}{205} =\frac{x}{10250}[/tex]

=> [tex]205x=10250\times43[/tex]

=> [tex]x=\frac{10250\times43}{205}[/tex]

x = 2150

Hence,the reasonable prediction of the number of people in the total population that own a dog is 2150.

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