Ascatterplot is produced to compare the number of hours that students study to their test scores. there are 25 data points, each representing a different student. the scatterplot shows a grouping of points rising from left to right. which statement could be true? there is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster. as the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right. as the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right. the number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

The statement which is correct is:

It is given that the points are rising from left to right i.e. there is a increase in the data points i.e. the variables have a direct relationship i.e. with the increase of one variable the value of the other variable also increases.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

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