1. In a study on the likability of comedians, 10 participants observed one of two comedians (one who was humorous and one who was not humorous), and rated how likeable these comedians were on a 9-point scale from 1 (not likeable at all) to 9 (very likeable). The ratings are the data below. Test to see if the humorous comedian was liked more or less than the nonhumorous comedian, using alpha = .05 and four steps. Also calculate and interpret effect size and explained variance if appropriate.]

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.

rotated. i took the test

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