Answer:
The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.
Step-by-step explanation:
When we do not know the shape of the distribution, we use the Chebyshev's Theorem to find the minimum percentage of a measure within k standard deviations of the mean.
This percentage is:
Within 8 standard deviations of the mean
This means that 
. So
The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.
For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
y -y₁ = m(x -x₁)
You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
D. y+9 = -4(x-4)
Answer:
3/14
Step-by-step explanation:
We want to find the ratio of a to b, or a/b
9/17 = 3a/ (a+b)
Multiply each side by 17
17*9/17 =17* 3a/ (a+b)
9 = 51 a/ (a+b)
Multiply each side by (a+b)
9 (a+b) = 51a
Distribute the 9
9a +9b = 51a
Subtract 9a from each side
9a-9a +9b =51a-9a
9b = 42a
Divide each side by b
9b/b = 42a/b
9 = 42a/b
Divide each side by 42
9/42 = a/b
But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3
3/14 = a/b
To find the x intercept replace y with 0 in the equation and solve for x:
4x +3(0) = 12
Simplify:
4x +0 = 12
4x =12
Divide both sides by 4:
x = 12/4
x = 3
The x intercept would be (3,0)
Fist plug in 7 in to the X values like so 12 (3 (7) +5 (7)) then solve in side the parenthesis 3×7 =21 and 5×7=35 then add them 35+21=56 and then you are left with 12(56) or 12×56= 672
