Let Z be a random variable following the standard normal distribution with mean µ = 0 and standard deviation σ = 1.
The 67th percentile of the distribution is the value z that separates the bottom 67% of the distribution from the top 100% - 67% = 33%. In terms of probability, we have
Pr[Z ≤ z] = 0.67
Use the inverse CDF for the normal distribution (or lookup z scores in a table) to find
z = ɸ⁻¹(0.67) ≈ 0.4399
where ɸ(z) is the CDF for the normal distribution.
What book is this from or...
Answer: The Sun and the planets formed together, 4.6 billion years ago, from a cloud of gas and dust called the solar nebula. A shock wave from a nearby supernova explosion probably initiated the collapse of the solar nebula. The Sun formed in the center, and the planets formed in a thin disk orbiting around it.
Explanation: how were the planets in the solar system formed?
The length of the base of the isosceles triangle is: 27 units long.
<h3>What is an isosceles Triangle?</h3>
A triangle with two equal legs and a base is called an isosceles triangle.
Thus:
Let x represent the length of each of the equal legs of the isosceles triangle.
Therefore:
The length of the base = 1 1/2(x) = 1.5x units
Perimeter = 63
Therefore:
x + x + 1.5x = 63
3.5x = 63
x = 63/3.5
x = 18
The length of the base = 1.5x units
Plug in the value of x
The length of the base = 1.5(18) = 27 units
Therefore, the length of the base of the isosceles triangle is: 27 units long.
Learn more about isosceles triangle on:
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