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Permits issued for 5 or More-Family buildings in 2011 accounted for 13.8% of all permits issued in 2011.: Yes
More permits were issued in 2011 for 5 or More-Family buildings in Queens than were issued in 2011 for 2-Family buildings in Brooklyn.: No
The decrease between 2010 and 2011 in the number of permits issued for 2-Family buildings in Queens was greater than the decrease between 2010 and 2011 in number of permits issued for 1-Family buildings on Staten Island.: Yes
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The table shows the permits issued by building size and borough in New York City in 2010 and 2011. Each percentage in the table shows the percentage of the corresponding Borough’s permits that were issued for that particular building size in each year. The Total Buildings columns show the total number of permits issued for each Borough for each year.
For each of the following statements, select Yes if the statement is true based on the information in the table. Otherwise, select No.
1-Family | 2-Family | 3- or 4-Family | 5 or More-Family | Total Number of Buildings | ||||||
| ------- | 2010 (%) | 2011 (%) | 2010 (%) | 2011 (%) | 2010 (%) | 2011 (%) | 2010 (%) | 2011 (%) | 2010 | 2011 |
|---|---|---|---|---|---|---|---|---|---|---|
| Bronx | 9.2 | 1.5 | 38.5 | 35.3 | 23.1 | 19.1 | 29.2 | 44.1 | 65 | 68 |
| Brooklyn | 3.6 | 0 | 31.4 | 44.3 | 27.9 | 30.5 | 37.1 | 25.3 | 140 | 174 |
| Manhattan | 0 | 3.6 | 18.2 | 0 | 9.1 | 3.6 | 72.7 | 92.9 | 11 | 28 |
| Queens | 12.4 | 21.5 | 67.2 | 57 | 11.2 | 11.9 | 9.2 | 9.6 | 509 | 386 |
| Staten Island | 71.9 | 52.5 | 27.2 | 47.2 | 0.6 | 0 | 0.3 | 0.3 | 349 | 341 |
For each of the following statements, select Yes if the statement is true based on the information in the table. Otherwise, select No.
| Yes | No | |
| Permits issued for 5 or More-Family buildings in 2011 accounted for 13.8% of all permits issued in 2011. | ||
| More permits were issued in 2011 for 5 or More-Family buildings in Queens than were issued in 2011 for 2-Family buildings in Brooklyn. | ||
| The decrease between 2010 and 2011 in the number of permits issued for 2-Family buildings in Queens was greater than the decrease between 2010 and 2011 in number of permits issued for 1-Family buildings on Staten Island. |
ShowHide Answer
Official Answer
Permits issued for 5 or More-Family buildings in 2011 accounted for 13.8% of all permits issued in 2011.: Yes
More permits were issued in 2011 for 5 or More-Family buildings in Queens than were issued in 2011 for 2-Family buildings in Brooklyn.: No
The decrease between 2010 and 2011 in the number of permits issued for 2-Family buildings in Queens was greater than the decrease between 2010 and 2011 in number of permits issued for 1-Family buildings on Staten Island.: Yes
19 Mar 2024, 10:33
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Official Explanation
Statement 1:
This statement is true. To find the total number of permits in 2011, add the numbers in the “Total Buildings, 2011” column. That total is:
101.5+101.5*1.3%=102.8195
To find the number of permits issued for 5 or More-Family buildings in 2011, you must find the number of such permits issued in each Borough. In the Bronx, 44.1% of 68 permits in 2011 were for 5 or More-Family buildings. That means that the number of such permits in the Bronx was 29.988. (It’s pretty clear that the actual number was 30, but don’t round until the end.)
For Brooklyn, that number was: 25.3%(174) = 44.022
For Manhattan: 92.9%(28) = 26.012
For Queens: 9.6%(386) = 37.056
For Staten Island: 0.3%(341) = 1.023
Thus, the total number of permits for 5 or More-Family buildings in 2011 was the sum of these five numbers:
29.988+44.022+26.012+37.054+1.023 ~~138
Finally, you can find the percentage of all permits issued in 2011 that were for 5 or More-Family buildings. If 138 is x percent of 997, then:
\(\frac{2}{5}p=2q-10\)
Answer: Yes
Statement 2:
This will not require so many calculations. In 2011, 9.6% of 386 permits in Queens were for 5 or More-Family buildings. This number is 37. In Brooklyn, 44.3% of 174 permits were for 2-Family buildings. That number is 77. Thus, fewer permits were issued in 2011 for 5 or More-Family buildings in Queens than were issued in 2011 for 2-Family buildings in Brooklyn.
Answer: No
Statement 3:
The decrease between 2010 and 2011 in number of permits issued for 2-family buildings in Queens is:
67.2%(509)-57%(386) = 342-220 =122
The decrease between 2010 and 2011 in number of permits issued for 1-Family buildings in Staten Island on:
71.9%(349)-52.5%(341) = 251-179 = 72
Thus, the statement is true.
Answer: Yes
Statement 1:
This statement is true. To find the total number of permits in 2011, add the numbers in the “Total Buildings, 2011” column. That total is:
101.5+101.5*1.3%=102.8195
To find the number of permits issued for 5 or More-Family buildings in 2011, you must find the number of such permits issued in each Borough. In the Bronx, 44.1% of 68 permits in 2011 were for 5 or More-Family buildings. That means that the number of such permits in the Bronx was 29.988. (It’s pretty clear that the actual number was 30, but don’t round until the end.)
For Brooklyn, that number was: 25.3%(174) = 44.022
For Manhattan: 92.9%(28) = 26.012
For Queens: 9.6%(386) = 37.056
For Staten Island: 0.3%(341) = 1.023
Thus, the total number of permits for 5 or More-Family buildings in 2011 was the sum of these five numbers:
29.988+44.022+26.012+37.054+1.023 ~~138
Finally, you can find the percentage of all permits issued in 2011 that were for 5 or More-Family buildings. If 138 is x percent of 997, then:
\(\frac{2}{5}p=2q-10\)
Answer: Yes
Statement 2:
This will not require so many calculations. In 2011, 9.6% of 386 permits in Queens were for 5 or More-Family buildings. This number is 37. In Brooklyn, 44.3% of 174 permits were for 2-Family buildings. That number is 77. Thus, fewer permits were issued in 2011 for 5 or More-Family buildings in Queens than were issued in 2011 for 2-Family buildings in Brooklyn.
Answer: No
Statement 3:
The decrease between 2010 and 2011 in number of permits issued for 2-family buildings in Queens is:
67.2%(509)-57%(386) = 342-220 =122
The decrease between 2010 and 2011 in number of permits issued for 1-Family buildings in Staten Island on:
71.9%(349)-52.5%(341) = 251-179 = 72
Thus, the statement is true.
Answer: Yes
