Aspecial 8 sided die is rolled 20 times with these outcomes: 2, 4, 7, 3, 1, 5, 4, 6, 3, 8, 6, 2, 5, 2, 6, 1, 7, 4, 5, 6, what is the experimental probability of rolling a 2 or a 4? is this number greater than or less than the theoretical probability of rolling a 2 or a 4? explain

Yes, the experimental probability of rolling a 2 or a 4 is greater than theoretical probability of rolling a 2 or a 4.

We are given the outcomes of an experiment as:

2, 4, 7, 3, 1, 5, 4, 6, 3, 8, 6, 2, 5, 2, 6, 1, 7, 4, 5, 6.

Total number of outcomes are:  20

Number of times 2 or 4 comes up is:  6

Hence, the experiment probability of rolling a 2 or a 4 is:

                             6/20=3/10

Also, the theoretical probability of rolling a 2 or a 4 is:

                                2/8=1/4

( Since there are total 8 outcomes possible on rolling a cube and there are two outcomes which are 2 or 4)

Also, we know that:

1/4 < 3/10

This means that the experimental probability is greater than the theoretical probability.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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