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Tcecarenko [31]
3 years ago
13

A scale drawing for a rectangular parking lot measures 6 cm by 12 cm. The scale is 5 cm: 25 m. Find the area of the parking lot.

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

1800 square meters.

Step-by-step explanation:

In order to find out the dimensions of the actual parking lot, you must convert the cm to meters. Since 25 is 5x5, we only need to multiply 6 and 12 by 5. From there, we get 6x5=30 and 12x5=60. This means the dimensions are 30 meters by 60 meters. Then, you just need to multiply 30 and 60, from which you get 1800.

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Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

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^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

\dfrac{935}{2300}=0.40652173913\approx0.4065

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