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docker41 [41]
3 years ago
7

The monthly rent on an 80-square-meter apartment in Monte Carlo is 1150 euros. The monthly rent on a 500-square-foot apartment i

n Santa Fe, New Mexico, is $800. In terms of price per area, which apartment is less expensive?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

The apartment in Monte Carlo is less expensive

Step-by-step explanation:

Given:

Rent in 80-square-meter apartment in Monte Carlo = 1150 euros.

rent on a 500-square-foot apartment in Santa Fe  =  $800.

To Find:

Which apartment is less expensive =?

Solution:

Price per area in Monte Carlo

Cost per square meter in Monte Carlo

=>\frac{\text{Total rent}}{\text{total area}}

=>\frac{1150}{80}

=>14.375 euros per square meter

Converting to euros per square meter to dollars per square foot

1 Euro per square meter=  0.102355924 U.S. dollars per square foot

14.375 euros per square meter = 0.102355924 x 14.375 = 1.471 U.S. dollars per square foot------------------------(1)

Price per area Santa Fe, New Mexico

=>\frac{\text{Total rent}}{\text{total area}}

=>\frac{800}{500}

=> 1.6 dollars per square foot-------------------------(2)

From (1) and (2)

1.471 < 1.6

Apartment in Monte Carlo is less expensive than Apartment in Santa Fe, New Mexico

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Answer:

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a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.

b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.

This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.

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