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.
It is a false statement that the 54th Massachusetts Regiment changed Northern attitudes about blacks'ability to fight.
<h3>Who were the 54th Massachusetts Regiment?</h3>
It was an infantry regiment that fought for the Union force against the confederates force in the American civil war.
The member of the regiment includes both white and blacks who are praised for their bravery and fierce fighting against Confederate forces.
In conclusion, this regiment most celebrated regiment made up of blacks that fought in the civil war.
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<em>brainly.com/question/1320133</em>
The complete proofs with all the reasons and statements; have been enumerated below
<h3>What are triangle proofs?</h3>
From the attached triangle, we can complete the proofs as follows;
Statement 1; AB * BE = CB * BD
Reason 1; Given
Statement 2; CB/BE = AB/BD
Reason 2; Property of Cross Multiplication
Statement 3; ∠ABC ≅ ∠DBE
Reason 3; Vertical Angles
Statement 4; ΔABC ~ ΔDBE
Reason 4; SAS property of similarity
Read more about Triangle Proofs at; brainly.com/question/22721185
