A data set lists the number of times a machine breaks each month in a shoe factory over the past year. For this data set, the mi
nimum is 4, the first quartile is 6, the median is 8, the interquartile range is 3, and the maximum is 20. Construct a box-and-whisker plot that shows the number of times the machine breaks.\
1 answer:
Answer:
answer is in the attached picture
Step-by-step explanation:
To construct the box-and-whisker plot from the given data we first need to find the 3rd quartile.
To find the 3rd quartile we will use the interquartile range and 1st quartile.
Interquartile range = 3rd quartile - 1st quartile
(substitute the values given in the question)
3 = 3rd quartile - 6
3rd quartile = 3 + 6
3rd quartile = 9
hence we now have the complete data to construct the box-and-whiskers plot.
The plot is in the attached picture.
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Answer:
An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle
Step-by-step explanation:
Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet
Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way
Hence total length of string will be
Total length = Perimeter of rectangle + length of diagonal
Perimeter of rectangle = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet
Length of diagonal given by Pythagoras theorem
Hence
Total length = Perimeter of rectangle + length of diagonal
Total length = 38 feet + 13.89244 feet = 51.9 feet
Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle