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Aleksandr [31]
3 years ago
13

Across a horizontal distance of 25 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of th

e drop is feet, compared to its height at the top of the drop. What is the average amount that the roller coaster's height changes over each horizontal foot?
Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

Answer: - 5



Explanation:



1) Some information in the question is missing: the height of the roller coaster at the bottom of the drop.



2) Here is the complete question: "Across a horizontal distance of 25 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of the drop is -125 feet, compared to its height at the top of the drop. What is the average amount that the roller coaster's height changes over each horizontal foot"



3) Now, you can calculate the average amount that the roller coaster's height changes over each horizontal foot, using this formula:



Average change = [change in height] / [change in horizontal]



4) Change in height = [final height - initial height] = - 125 feet



5) Change in horizontal distance = 25 feet



6) Answer: - 125 feet / 25 feet = - 5.



The negative sign means that the height decreased.


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Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

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