A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has no
1 answer:
Answer:
0.3542 = 35.42% probability that the third light is red
Step-by-step explanation:
For each light:
If it is green, 77% probability that the next is green.
If it is red, 77% probability that the next is red.
If the first light is green, what is the probability that the third light is red?
These following outcomes are desired, for the second and third lights:
G - R(0.77, then 1 - 0.77 = 0.23 probability)
R - R(0.23, then 0.77 probability).
So the desired probability is:
0.3542 = 35.42% probability that the third light is red
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1. Height of the equilateral triangle is: √3 units
2. Area of the equilateral triangle = √3 units²
3. Area = √3/4 x², when each side is x.
<h3>What is an Equilateral Triangle?</h3>A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.
1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:
h = √(2² - 1²)
h = √(4 - 1)
h = √3
2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)
Area of the equilateral triangle = √3 units²
3. If x is the side length of the equilateral triangle, we would have:
height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x
Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²
Learn more about equilateral triangle on:
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