Mathematics, 03.07.2019 06:30 leigha03

At the opening of the united states supreme court, each justice shakes hands with all the others. a. how many justices are there? b. how many handshakes do they make?

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Answer from: CalCDanG

A. There are 9 members of the Supreme Court, with one Chief Justice and eight associates justices.

b. With 9 justices and all of them shaking their hands once, they would have to make 36 handshakes, because they wouldn't have to handshake the same person again, and for the first justice, they would have to shake either other hands, with the second one only needing to shake seven hands, the third making only six handshakes and so on, until one of them only has to make one handshake. In an equation, this is 8+7+6+5+4+3+2+1, which gives you the sum of 36. The justices have to make 36 handshakes total.

Answer from: Quest

go on the tube you might find some information there

Answer from: Quest

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

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