17. In a recent l0-year period, the change
1 answer:
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Answer:
y = x - 4
Step-by-step explanation:
Firstly, you must find the gradient. This is found using the following formula:
Make sure that the x2 and y2 values are in the same coordinate set:
Let's set (-8 , 2) as y1 and x1, y1 = 2 and x1 = -8
That means that (1 , -4) is y2 and x2, y2 = -4 and x2 = 1
Plug the values in:
Simplified:
Or -2/3
So the gradient is
Now, using the following equation of a line formula:
y - y1 = m(x - x1)
Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:
y1 = 2
x1 = -8
m = -2/3
y - 2 = 2/3(x - - 8)
We need to get rid of the two third fraction so we multiply the whole equation by three to cancel it out:
y * 3 = 3y
-2 * 3 = -6
-2/3 * 3 = -2
3y - 6 = -2(x - - 8)
The negative and the subtract makes it a positive:
3y - 6 = -2(x + 8)
Now we can multiply the bracket out:
-2 * x = -2x
8 * -2 = -18
So:
3y - 6 = -2x - 18
The slope form is usually:
y = mx + c
So we need to move the -6 over to the other side making it a positive 6:
3y = -2x -18 + 6
3y = -2x -12
Divide all the equation by three to get 1y:
y = x - 4
Which is the equation!
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Answer:
The null hypothesis is
The alternate hypothesis is
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is,
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is