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lazerlemon500
20.04.2020 •
Mathematics
In a recent survey of monetary donations made by 489 college graduates, the following information was obtained. 95 has donated to a political campaign, 76 had donated to assist medical research, 133 had donated to preserve the environment, 25 had donated to all three, 38 had donated to a political campaign and to medical research, 46 had donated to medical research and to preserve the environment, and 54 donated to a political campaign and to preserve the environment.
(a) How many college graduates donated to none of the listed causes?
(b) What percent of the college graduates donated to exactly one of the three listed causes?
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Ответ:
Step-by-step explanation:
The Venn diagram representing this situation is shown in the attached photo.
P represents the set of college graduates that donated to a political campaign.
M represents the set of college graduates that donated to assist medical research.
E represents the set of college graduates that donated to preserve the environment.
From the diagram,
The number of college graduates that donated to all three is 25
The number of college graduates that donated to a political campaign and medical research only is
38 - 25 = 13
The number of college graduates that donated to a political campaign and preserve the environment only is
54 - 25 = 29
The number of college graduates that donated to medical research and to preserve the environment only is 46 - 25 = 21
The number of college graduates that donated to a political campaign only is
95 - (29 + 25 + 13) = 28
The number of college graduates that donated to medical research only is
76 - (13 + 25 + 21) = 17
The number of college graduates that donated to preserve the environment only is
133 - (29 + 25 + 21) = 58
a) the number of college graduates that donated to none is
489 - (28 + 17 + 58 + 13 + 21 + 29 + 25)
= 298 college graduates
b) the number of college graduates that donated to exactly one of the three listed causes is
28 + 17 + 58 = 103
The percentage would be
103/489 × 100 = 21.1%
Ответ:
Last week Gullian walked 10 minutes more than Nancy.
Step-by-step explanation:
1. Nancy walk 50 minutes each day for 4 days last week, then the total number of minutes Nancy walked is
2. Gullian walked 35 minutes each day for 6 days last week, then the total number of minutes Gullian walked is
3. Since
than last week Gullian walked 10 minutes more than Nancy.