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Included in the survey are 113.6 million US households, of which 25.9 million are located in the 12 Midwestern states (IL, IN, IA, KS, MI, MN, MO, NE, ND, OH, SD, and WI).

1. The number of households in the Midwest that do not use electricity for heating is approximately___________of the number of households in the US that use electricity for heating.

The number of households in the Midwest that do not use electricity for heating = (100-18)% of 25.9 million i.e. 21.238 million.
The number of households in the US that use electricity for heating = 35% of 113.6 million i.e. 39.76 million
Thus,
21.238 million/ 39.76 million = 0.534
That's closer to 1/2

B. 1/2

2. In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately___________million per state.

The number of households in the Midwest that use either propane/LPG or natural gas for heating : (69 + 8)% of 25.9 million i.e. 19.943 million.
Thus, the average number of households using either propane/LPG or natural gas for heating per state = 19.943/(total number of states = 12) = 1.66 million
That's closer to 1.7 million.

B. 1.7
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Kindly refer the image below for details:

1. The number of households in the Midwest that do not use electricity for heating is approximately___________of the number of households in the US that use electricity for heating.

# of households in the Midwest that do not use electricity = Total - # of households in the Midwest that use electricity = 25.9 - 4.7 = 21.2 (mn)
# of households in the US that use electricity = 39.8 (mn)

\(\frac{# of households in the Midwest that do not use electricity}{# of households in the US that use electricity}\) = \(\frac{21.2}{39.8}\) ~ 53% or \(\frac{1}{2}\)

A. 1/4
B. 1/2
C. 2/3
D. 3/2
E. 5/3

2. In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately___________million per state.

As there are 12 states in Midwest region.
The average # of households using either propane/LPG or natural gas for heating = \(\frac{17.9+2.1}{12}\) = \(\frac{20}{12}\) = 1.66 (mn) ~ 1.7

A. 0.7
B. 1.7
C. 8.5
D. 19.9

IMO Option B for Both
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1. The number of households in the Midwest that do not use electricity for heating is approximately___________of the number of households in the US that use electricity for heating.

A. 1/4
B. 1/2
C. 2/3
D. 3/2
E. 5/3

solution :

not elctricity in midwest = 82/100 * 25.9* 10^6

electricity in US = 35/100 *113.6 *10^6

So q is that not electricity in midwest = k* electricity in US

so k = not electricity in midwest /electricity in US
K =(82* 25.9 * 10^4)/(35* 113.6 * 10^4)
K = 2123.2/3976 =.534

So K is approximately = 1/2 as the closest

so answer is b) 1/2





2. In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately___________million per state.

A. 0.7
B. 1.7
C. 8.5
D. 19.9

SOLUTION: households in midwest using propane /lpg or natural gas = 69%+8% = 77%

so number in midwest of households using propane /lpg or natural gas = 77/100 * 25.9 * 10^6

nos of states in midwest = 12

so avg households using propane /lpg or natural gas per state =( 77 * 25.9 * 10^6) / (100*12)

so avg households using propane /lpg or natural gas per state = 1994.3 /1200 * 10^6 = 1.66 * 10^6

so avg households using propane /lpg or natural gas per state = 1.66 M which is approximately more closer to 1.7 M

SO Answer is b) 1.7
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1. The number of households in the Midwest that do not use electricity for heating is approximately___________of the number of households in the US that use electricity for heating.

For Midwest, do not use electricity for heating = 100- 18= 82%, Nos. of householders do not use electricity for heating = 25.9 * 82% = 21.238 million

For US, do not use electricity for heating = 100- 35= 65%, Nos. of householders do not use electricity for heating = 113.6 * 65% = 73.84 million

Ratio = 21.238/73.84 =0.28 ~1/4

A. 1/4- Correct
B. 1/2
C. 2/3
D. 3/2
E. 5/3

2. In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately___________million per state.

Midwest people using propane/LPG or natural gas = 8+69= 77%, No. of people using propane/LPG or natural gas= 25.9 *77% = 19.943 million

Per state people using propane/LPG or natural gas= 19.943/12= 1.66 million

A. 0.7
B. 1.7- Correct
C. 8.5
D. 19.9
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This is a medium level difficulty question, OA is option B for both of the questions. Everyone did well except one.

Official explanation will be posted soon.
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