Given:
The variance of a distribution = 195.
To find:
The standard deviation, rounded to the nearest thousandth.
Solution:
Standard deviation of a distribution is the square root of the variance of the distribution.
Here, the standard deviation of the distribution is
Therefore, the standard deviation is 13.964.
Answer:
Step-by-step explanation:
We have the equation 
In order to solve for x, we need to get all of the x's to one side and everything else to the opposite side
First, we can add 1 to each side
Now, we can add x to each side
Next, we can divide each side by 2
And here is our answer.
Given that
, then
The slope of a tangent line in the polar coordinate is given by:
Thus, we have:
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,
Thus, we have:
</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
Answer:
7n-6=-20
Step-by-step explanation:
six less than seven times a number
we'll use n as "the number"
six less meaning -6
7 times a number n = 7n
7n-6=-20
