andrejr0330jr
16.05.2021 •
Mathematics
Suppose you are working with a data set that is normally distributed with a mean of 70 and a standard deviation of 10. Determine the value of x such that 65% of the values are greater than x.
a. This whale is much larger than the mean.
b. This whale is much smaller than the mean
c. The whale is an average length
d. Not enough information is given.
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Ответ:
The above question was not properly written.
Complete Question
Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.
Quadrilateral EFGH is a rectangle.l because:
EF = GH and FG = EH
Step-by-step explanation:
The formula for coordinate geometry is given as :
√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)
For the quadrilateral EFGH with given coordinates above to be a rectangle,
EF = GH
FG = EH
Hence:
For side EF
E(-4,8), F(8,4)
= √(8 - (-4))² + (4 - 8)²
= √12² + -4²
= √144 + 16
= √160 units
For side FG
F(8,4), G(5,-5)
=√(5 - 8)² + (-5 - 4)²
= √-3² + -9²
= √9 + 81
= √90 units
For Side GH
G(5,-5) , H(-7,-1)
= √(-7 - 5)² + (-1 - (-5))²
= √-12² + 4²
= √144 + 16
= √160 units
For side EH
E(-4,8), H(-7,-1)
= √(-7 -(-4))² +(-1 - 8)²
= √-3² + -9²
= √9 + 81
= √90 units
From the above calculation, we can see that truly,
EF = GH
FG = EH
Therefore, quadrilateral EFGH is a rectangle.