A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of µ = 80 and a standard dev
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The quadrant that the graph will not go through is the second quadrant.
The reason is that the slope is positive and there was a translation 6 units down
<h3>How to know the quadrant the graph will not pass</h3>The quadrants are named in anticlockwise direction starting from the first which has x - positive and y - positive
The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.
y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant
Hence the remaining quadrant that is untouched is the second quadrant
The graph is attached
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Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.
Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.
It is given in the question that the end of a pendulum with a length of 21 cm travels an arc length of 24 cm.
So here radius is 21 cm and the arc length is 24 cm .
Now we use the arc length formula , which is
Where s is the arc length and r is the radius.
Substituting these values, we will get
And now we need to convert radian to degree, and for that we have to multiply by
That is