researchers asked 150 families whether or not they were homeowners and how many cars they had. their…

researchers asked 150 families whether or not they were homeowners and how many cars they had. their responses are summarized in the following table.\n| | no car or one car | two or more cars |\n|--|--|--|\n| homeowner | 11 | 67 |\n| not a homeowner | 28 | 44 |\n(a) what percentage of the families are not homeowners?\n(b) what percentage of the families have two or more cars?

researchers asked 150 families whether or not they were homeowners and how many cars they had. their responses are summarized in the following table.\n| | no car or one car | two or more cars |\n|--|--|--|\n| homeowner | 11 | 67 |\n| not a homeowner | 28 | 44 |\n(a) what percentage of the families are not homeowners?\n(b) what percentage of the families have two or more cars?

Answer

Explanation:

Step1: Calculate number of non - homeowners

The number of non - homeowners is (28 + 44=72).

Step2: Calculate percentage of non - homeowners

The total number of families is (150). The percentage of non - homeowners is (\frac{72}{150}\times100%). [ \begin{align*} \frac{72}{150}\times100%&=\frac{72\times100}{150}%\ & = 48% \end{align*} ]

Step3: Calculate number of families with two or more cars

The number of families with two or more cars is (67+44 = 111).

Step4: Calculate percentage of families with two or more cars

The percentage of families with two or more cars is (\frac{111}{150}\times100%). [ \begin{align*} \frac{111}{150}\times100%&=\frac{111\times100}{150}%\ &=74% \end{align*} ]

Answer:

(a) 48% (b) 74%