Question

a farmer has an orchard that covers an area of 40 acres. he grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. the fruit trees are equally distributed within the orchard. a tree is chosen at random. rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees?
25.0%
37.5%
62.5%
75.4%

Explanation:

Step1: Calculate non - apple tree acres

The total area of the orchard is 40 acres and the area of apple trees is 25 acres. So the area of non - apple trees is $40 - 25=15$ acres.

Step2: Calculate the probability

The probability $P$ that a randomly chosen tree is not an apple tree is given by the ratio of the area of non - apple trees to the total area of the orchard. So $P=\frac{15}{40}=\frac{3}{8}=0.375$.

Step3: Convert to percentage

To convert the decimal to a percentage, we multiply by 100. So $0.375\times100 = 37.5\%$.

Answer:

37.5%