Answer:
The kinetic energy is 20,000\ J
Step-by-step explanation:
The kinetic energy of a body is defined as:

Where <em>m</em> is the mass of the roller coaster car
<em>s</em> is the speed and <em>k</em> is the kinetic energy
We know that 

Then the kinetic energy of the roller coaster car is:

Where where is the formula you didn't even post a picture?
The area of the given right triangle is: 22.5 cm².
<h3>How to Find the Area of a Right Triangle?</h3>
The area of a right triangle with a base of "b" and an height of "h" can be determined using the following formula:
Area of triangle = 1/2bh = 1/2(base)(height).
Given that the right triangle has the following dimensions:
Height (h) = 5 cm
Base (b) = 9 cm
Area of triangle = 1/2bh = 1/2(5)(9)
Area of triangle = 1/2(45)
Area of triangle = 22.5 cm²
Thus, the area of the right triangle is: 22.5 cm².
Learn more about the area of triangle on:
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Answer:
The expected value is $3.95
Step-by-step explanation:
Here, we want to get the expected value
Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up
We have this as;
0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)
= 0 + 1 + 1.2 + 1 + 0.75 = 3.95