A study by a geological research team said that a new piece of equipment designed for early earthquake detection is not effective
based on their recent study of 40 pieces of equipment they have
stationed near earthquake active zones with a = 0.05. However, the
manufacturer of the equipment claims this study was flawed and
their equipment is good. The research team is considering
rerunning the study with the intention of increasing the power of
this test. If the equipment really does detect earthquakes early,
which of the following would ensure an increase in the power of
the test?
(A) Move the equipment to three randomly chosen new locations.
(B) Change a = 0.05 to a = 0.02.
(C) Run a two-sided test instead of a one-sided test.
(D) Increase the sample size to 60 pieces of equipment being
tested.
(E) Decrease the sample size to 20 pieces of equipment being
tested.

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step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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

the answer is 8.64

step-by-step explanation: