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21 Dec 2019, 09:31
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The number of times the cardio rooms were accessed per member, on average, in Year 2 represented an increase from Year 1.: No
The ratio of cardio equipment available to total pieces of equipment available was greater in Year 6 than in any other year.: No
The ratio of strength equipment available to total equipment available in Year 3 was greater than the ratio of strength equipment room accesses to total room accesses in the same year.: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
65% (03:46) correct
35%
(03:47)
wrong
based on 732
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At the end of each of seven years, a small chain of health clubs reported how many total pieces of exercise equipment it had available for use at its locations. It also reported how many pieces of two specific types of equipment (strength equipment and cardio equipment) it had available. Additionally, it tracked the number of times during each year that club members accessed all of the equipment rooms, as well as in particular the strength machine rooms and cardio machine rooms, which housed their respective types of equipment.
(Sort ↕ the table by clicking on the headers)
For each of the following statements, select Yes if the statement can be shown to be true with the information provided. Otherwise, select No.
Tab.jpg [ 66.19 KiB | Viewed 6801 times ]
Equipment available for use | Accessed | ||||||
| Year | Total pieces of equipment | Pieces of strength equipment | Pieces of cardio equipment | Total | Strength | Cardio | Members |
|---|---|---|---|---|---|---|---|
| 1 | 231 | 105 | 96 | 984708 | 396319 | 424789 | 7857 |
| 2 | 219 | 104 | 101 | 941799 | 364385 | 420444 | 7901 |
| 3 | 243 | 110 | 116 | 967226 | 374440 | 431568 | 7992 |
| 4 | 277 | 121 | 135 | 992305 | 386823 | 439992 | 8148 |
| 5 | 272 | 120 | 137 | 1002744 | 391548 | 444150 | 8046 |
| 6 | 280 | 119 | 139 | 1004816 | 384649 | 452707 | 8219 |
| 7 | 279 | 122 | 136 | 1006438 | 389747 | 449064 | 8118 |
For each of the following statements, select Yes if the statement can be shown to be true with the information provided. Otherwise, select No.
Attachment:
Tab.jpg [ 66.19 KiB | Viewed 6801 times ]
| Yes | No | |
| The number of times the cardio rooms were accessed per member, on average, in Year 2 represented an increase from Year 1. | ||
| The ratio of cardio equipment available to total pieces of equipment available was greater in Year 6 than in any other year. | ||
| The ratio of strength equipment available to total equipment available in Year 3 was greater than the ratio of strength equipment room accesses to total room accesses in the same year. |
ShowHide Answer
Official Answer
The number of times the cardio rooms were accessed per member, on average, in Year 2 represented an increase from Year 1.: No
The ratio of cardio equipment available to total pieces of equipment available was greater in Year 6 than in any other year.: No
The ratio of strength equipment available to total equipment available in Year 3 was greater than the ratio of strength equipment room accesses to total room accesses in the same year.: Yes
04 Apr 2021, 03:23
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Official Explanation
Analyze the information
The first column of this table lists the years 1–7 for which data were reported, and the last column gives the total number of health club members for that year. The rest of the columns divide into two groups, labeled by the top header. Columns 2–4 deal with how many pieces of equipment the company had available. Note that the "Total pieces of equipment" column incorporates the figures from the next two columns to its right, plus whatever other equipment the chain might have had.
Columns 5–7 deal with access to the equipment. The cardio equipment was in cardio machine rooms in the clubs, while the strength equipment was in strength machine rooms in the clubs. The company tracked how many times during each year those rooms and all rooms combined were accessed by members.
Approach strategically
The number of times the cardio rooms were accessed per member, on average, in Year 2 represented an increase from Year 1.
This statement deals with the first two years and relates to the last two columns in the table. The number of times the cardio rooms were accessed "per member" describes the ratio of the Cardio accessed column to the Members column: cardio accessed/members. An increase in this ratio would occur if the numerator of this fraction increased, the denominator decreased, or both.
A glance at the table shows that Year 2 saw a decrease in the number of times the Cardio rooms were accessed and an increase in the number of members. This indicates a decrease in the ratio asked about, not an increase. Select No.
The ratio of cardio equipment available to total pieces of equipment available was greater in Year 6 than in any other year.
The ratio of cardio pieces/total pieces is found by dividing column 4 by column 2. You could use the calculator to divide column 4 by column 2 for each row and see whether Year 6 comes up with the greatest result. But try estimating first to save time.
For Year 6, the calculation would be 139 ÷ 280. Since 140 ÷ 280 would be 0.5, the ratio for Year 6 is a bit less than 0.5. Similar estimations for Years 1−4 and Year 7 show that their ratios are also a bit less than 0.5. In other words, for each of these years, column 4 is a bit less than half of column 2. Year 5, however produces a ratio greater than 0.5. Thus, contrary to what this statement says, the ratio of cardio equipment to total pieces of equipment was not greatest in Year 6 but rather in Year 5. Select No.
The ratio of strength equipment available to total equipment available in Year 3 was greater than the ratio of strength equipment room accesses to total room accesses in the same year.
This statement deals with two ratios, but only for Year 3. The first ratio is strength equipment available to total equipment available. This is (column 3)/(column 2). Look up the values in the table and use the calculator to find that 110 ÷ 243 = 0.45. The second ratio is strength equipment room accesses to total room accesses. This is (column 6)/(column 5). Plug the values from the table into the calculator to get 374,440 ÷ 967,226 = 0.39. The first ratio is greater than the second, so select Yes for this statement.
Analyze the information
The first column of this table lists the years 1–7 for which data were reported, and the last column gives the total number of health club members for that year. The rest of the columns divide into two groups, labeled by the top header. Columns 2–4 deal with how many pieces of equipment the company had available. Note that the "Total pieces of equipment" column incorporates the figures from the next two columns to its right, plus whatever other equipment the chain might have had.
Columns 5–7 deal with access to the equipment. The cardio equipment was in cardio machine rooms in the clubs, while the strength equipment was in strength machine rooms in the clubs. The company tracked how many times during each year those rooms and all rooms combined were accessed by members.
Approach strategically
The number of times the cardio rooms were accessed per member, on average, in Year 2 represented an increase from Year 1.
This statement deals with the first two years and relates to the last two columns in the table. The number of times the cardio rooms were accessed "per member" describes the ratio of the Cardio accessed column to the Members column: cardio accessed/members. An increase in this ratio would occur if the numerator of this fraction increased, the denominator decreased, or both.
A glance at the table shows that Year 2 saw a decrease in the number of times the Cardio rooms were accessed and an increase in the number of members. This indicates a decrease in the ratio asked about, not an increase. Select No.
The ratio of cardio equipment available to total pieces of equipment available was greater in Year 6 than in any other year.
The ratio of cardio pieces/total pieces is found by dividing column 4 by column 2. You could use the calculator to divide column 4 by column 2 for each row and see whether Year 6 comes up with the greatest result. But try estimating first to save time.
For Year 6, the calculation would be 139 ÷ 280. Since 140 ÷ 280 would be 0.5, the ratio for Year 6 is a bit less than 0.5. Similar estimations for Years 1−4 and Year 7 show that their ratios are also a bit less than 0.5. In other words, for each of these years, column 4 is a bit less than half of column 2. Year 5, however produces a ratio greater than 0.5. Thus, contrary to what this statement says, the ratio of cardio equipment to total pieces of equipment was not greatest in Year 6 but rather in Year 5. Select No.
The ratio of strength equipment available to total equipment available in Year 3 was greater than the ratio of strength equipment room accesses to total room accesses in the same year.
This statement deals with two ratios, but only for Year 3. The first ratio is strength equipment available to total equipment available. This is (column 3)/(column 2). Look up the values in the table and use the calculator to find that 110 ÷ 243 = 0.45. The second ratio is strength equipment room accesses to total room accesses. This is (column 6)/(column 5). Plug the values from the table into the calculator to get 374,440 ÷ 967,226 = 0.39. The first ratio is greater than the second, so select Yes for this statement.
General Discussion
01 Jan 2020, 02:18
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1)No, since the ratio in year 1 was 54.06 and in year 2 it was 53.21
2) No, since the difference in the values is higher so the ratio cannot be the highest
3)Yes,since the ratio of strength equipment available to total equipment available is 0.45 while the ratio ofstrength equipment room accesses to total room accesses is 0.38
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2) No, since the difference in the values is higher so the ratio cannot be the highest
3)Yes,since the ratio of strength equipment available to total equipment available is 0.45 while the ratio ofstrength equipment room accesses to total room accesses is 0.38
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