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heavyhearttim
09.07.2021 •
Mathematics
685 gym members were asked if they use the elliptical machine or treadmill as their primary cardiovascular exercise. 257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
a.) Organize this using a venn diagram (2 marks)
b.) A gym member is chosen from this group. What is the probability that this member uses the treadmill only? (1 mark)
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Ответ:
Given:
Total number of gym members = 685
257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
To find:
a. The venn diagram.
b. The probability that a member uses the treadmill only?
Solution:
(a)
We have,
Total number of gym members = 685
Treadmill user = 257
Elliptical user = 157
Who use both = 85
Only treadmill user is:
Only Elliptical used
Therefore, the venn diagram for the given situation is shown below.
(b)
The member who use treadmill only = 172
Total user = 685
The probability that a member uses the treadmill only is:
Therefore, the probability that a member uses the treadmill only is
.
Ответ:
(total number of BTUs) / (total number of cubic feet)
= (725 * 12 BTUs) / (39 * 7.25 * 6.5 ft3)
= 8700 BTUs / 1837.875 ft3
≈ 4.73 BTUs / ft3