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%

Question

Mathematics

Livia Goodwin

7 May, 19:34

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%

+3

Answers (1)

Know the Answer?

Allisson Savage · Answer 1

P (! A) = (number of all acres minus apple acres) / (total acres)

P (! A) = (40-25) / 40

P (! A) = 15/40

P (! A) = 3/8

P (! A) =.375 which is:

P (! A) = 100 (.375) %

P (! A) = 37.5%