Astudent at a junior college conducted a survey of 20 randomly selected? full-time students to determine the relation between the number of hours of video game playing each? week, x, and? grade-point average, y. she found that a linear relation exists between the two variables. the? least-squares regression line that describes this relation is modifyingabove y with caret equals negative 0.0537 x plus 2.9453y=? 0.0537x+2.9453.

This question is incomplete. Assuming that the question is similar to the reference I found, we will look for the grade-point average, y, of a student who plays video games 8 hours per week. To calculate for this, just plug in x = 8 in the equation given.

y = - 0.0537x + 2.9453

y = - 0.0537 * 8 + 2.9453

y = 2.5157 = 2.52

The grade-point average is about 2.52.

Note: if the given x is not 8, just plug in that value into the equation then calculate.

The y-intercept of the equation 2.9452 indicates the grade-point average of the student who does not play video games (x = 0).

The slope -0.0537 indicates that for every hour the student plays, the grade-point average decreases by 0.0537 points.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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