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Create a histogram with five intervals from this data set: 21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34
2 answers:
Answer with explanation:
The variate in Data set are:
21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34
Arranging the variate in Ascending order
21, 21, 32,34,37,45,56,65,67,71,77,87
Now, We have to make five Intervals in which we have to place this data
Class Interval Variate of Data set Frequency
20-35 21,21,32,34 ||||=4
35-50 37,45,56, |||=3
50-65 0 0
65-80 65,67,71,77 ||||=4
80-95 87 |=1
Now drawing the Histogram for the given variate by making five intervals
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Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x ) ( 20 + 2x ) = 1000 - Expand "( 30 + 2x )
( 20 + 2x )"
600 + 100x + 4 = 1000 - Subtract 1000 on either side, making on side = 0
4 + 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) - ,
,
There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) . The approximated value however is 3.5081...or approximately 3.5 feet.