Q:

WILL MARK BRAINLIEST! A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are estimated to be 50 dogs at the park at any given time, which proportion could be used to find the average number of shepherd mixes at the park at any given time?

Accepted Solution

A:
Answer:⇒[tex]\frac{8}{21} =\frac{x}{50}[/tex]Step-by-step explanation:Let average no. of shepherds be x there are estimated to be 50 dogsThus average no. of dogs /  estimated no. of dogs =x/50Since in sample 1 there are 7 shepherd mixIn sample 2 there are 9 shepherd mixSo total shepherd mix = 9+7=16Total dogs according to table = 4+7+3+1+2+5+9+5+2+4=42Thus total shepherd / total dogs = 16/42A.T.Q[tex]\frac{16}{42} =\frac{x}{50}[/tex]⇒[tex]\frac{8}{21} =\frac{x}{50}[/tex]This proportion  could be used to find the average number of shepherd mixes at the park at any given timeThus option A is correct