Question

in a recent survey of dog owners, it was found that 440, or 20%, of the owners take their dogs on vacation with them. find the number of dog owners in the survey who do not take their dogs on vacation.

dog owners in the survey do not bring their dogs on vacation.
(round to the nearest whole number as needed.)

Explanation:

Step1: Determine the percentage of owners who do not take their dogs on vacation

We know that 20% of owners take their dogs on vacation. So the percentage of owners who do not take their dogs on vacation is \(100\% - 20\% = 80\%\) or \(0.8\) in decimal form.

Step2: Calculate the number of owners who do not take their dogs on vacation

We are given that the number of owners who take their dogs on vacation is 440, and this represents 20% of the total number of owners surveyed. First, we find the total number of owners surveyed. Let the total number of owners be \(x\). Then \(20\%\) of \(x\) is 440, so \(0.2x = 440\). Solving for \(x\), we get \(x=\frac{440}{0.2}=2200\).

Now, to find the number of owners who do not take their dogs on vacation, we calculate 80% of 2200. So the number is \(0.8\times2200 = 1760\).

Answer:

1760