Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

researchers asked 300 families whether or not they were homeowners and …

Question

researchers asked 300 families whether or not they were homeowners and how many cars they had. their responses are summarized in the following table.
(a) what percentage of the families have no car or one car?
(b) what percentage of the families are homeowners?

Explanation:

Step1: Calculate percentage for (a)

For part (a), find the number of families with no car or one car. Homeowners: \(24 + 123=147\). Not homeowners: \(60 + 93 = 153\). Total families \(=300\).
The formula for percentage is \(\frac{\text{Number of favorable cases}}{\text{Total cases}}\times100\).
Number of families with no car or one car \(=24 + 60=84\).
Percentage \(=\frac{84}{300}\times100 = 28\%\)

Step2: Calculate percentage for (b)

For part (b), find the number of homeowners. Homeowners \(=24+123 = 147\).
Using the percentage formula \(\frac{147}{300}\times100=49\%\)

Answer:

(a) \(28\%\), (b) \(49\%\)