There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean μ = 20.9 and standard deviation σ = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean μ = 1026 and standard deviation σ = 209. joe scores 1351 on the sat. assuming that both tests measure the same thing, what score (±1) on the act is equivalent to joe's sat score? .

Solution: We are given:

ACT scores follow normal distribution with

SAT scores follow normal distribution with

Now, let's find the z score corresponding to Joe's SAT score 1351.

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4    

the correct answer is 828.07

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights