In a high school basketball game, a player on the home team makes two free throws. One student asks the student next to her what
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Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
On comparing both sides, we get
And,
Therefore, the coordinates of fourth vertex are (-5,-2).
Solution :
The normal body temperature of any human body is considered to be 98.6. But there is a constant debate about the body temperature of a long held standard to the body temperature.
It is given that :
Null hypothesis and alternate hypothesis :
And
n is given as = 180
Test statistics = 3.64
Prove = 0.018 < α = 0.05 (let reject null hypothesis for α = 0.05 )
Therefore, their results are statistically significant and the result is unlikely due to chance alone.