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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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If found the image that accompanies this problem, the central angle was 60°. Since the circumference of a circle is always 360°, the minor arc represents 60°/360° of the circle.

48 cm / (60°/360°) = 48 cm / (1/6) = 48 cm * 6/1 = 48 cm * 6 =  288 cm

The circumference of circle Z is 288 cm.

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22%

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3x+4=7-2x <br> Solve this equation for x with steps
ollegr [7]
Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
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Solving
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Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
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Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
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Answer:

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The probability of getting a 4 in the first three rolls is 1 minus the probability of not getting a 4 on any of the rolls.

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P(at least one 4) = 1 − (5/6)³

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Alternatively, you can calculate it this way.

The probability of getting a 4 on the first roll is 1/6.

The probability of getting a 4 on the second roll is (5/6) (1/6) = 5/36.

The probability of getting a 4 on the third roll is (5/6) (5/6) (1/6) = 25/216.

The probability of any of the three events is 1/6 + 5/36 + 25/216 = 91/216.

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2 years ago
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