Agroup of professors investigated first-year college students' knowledge of astronomy. one concept of interest was the big bang theory of the creation of the universe. in a sample of 144 freshmen students, 31 believed that the big bang theory accurately described the creation of planetary systems. based on this information, is it correct at the alphaequals0.01 level of significance to state that more than 20% of all freshmen college students believe the big bang theory describes the creation of planetary systems?

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

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:

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