Whats 19.5 rounded to the nearest one?
2 answers:
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A suitable probability calculator will show that probability to be .135905122.
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Your class extends from 1 standard deviation above the mean to 2 standard deviations above the mean. The empirical rule puts that probability at ...
... (1/2)(95% - 68%) ≈ 13.5%
The empirical rule tells you 68% of observations lie within 1 standard deviation of the mean, and 95% lie within 2 standard deviations. Then the number that lie between 1 and 2 standard deviations from the mean will be the difference of these values. You want the values in the region above the mean only, so you only want half the difference just described.
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Answer:
y =
Step-by-step explanation:
First, we need to rearrange the equation to make it y = mx + c
4x - y = 3
y + 3 = 4x
y = 4x -3
So the slope of the line is 4.
The slope of a line perpendicular to an equation is:
So the slope of the perpendicular line is:
= -0.25
Now to find the equation of a line you can use the following equation:
y - y₁ = m(x - x₁)
Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:
y₁ = 6
x₁ = -5
m =
y - 6 = (x - - 5)
To get rid of the fraction we need to multiply the whole equation by 4:
4y - 24 = -1(x - - 5)
The two negatives cancel out:
4y - 24 = -1(x + 5)
Multiply the brackets out:
4y - 24 = -x + 5
Now, to rearrange the formula back into y = mx + c
Move the -24 over to the other side making it a +24:
4y = 2x + 5 + 24
4y = 2x + 29
Divide everything by 4:
y =
y =
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