A sample of eight students were selected to test the effectiveness of a course designed to improve typing skills. Their typing scores before and after the course are recorded below. Test the course for effectiveness at α = 0.01. Student 1 2 3 4 5 6 7 8 Mean Std. dev. Before 45 38 60 35 70 48 39 49 48 11.88 After 56 42 62 39 75 50 42 56 52.75 12.13 Difference -11 -4 -2 -4 -5 -2 -3 -7 -4.75 3.012 What is the test statistic value?

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

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: