If we break down the problem if basically gives the answer:
five times the quotient of some number and ten
5 times (any variable) divided by 10
The answer is B. The answer isn't A because you have to go in order of what the question states. It didn't say ten first. It can't be C or D because those are not quotients.
Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
--- mean
--- variance
Required
The coefficient of variation
The coefficient of variation is calculated using:
After the tax, the new mean is:
And the new variance is:
So, we have:
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
Cos(θ) = -20/√((-20)^2 +(-21)^2)
.. = -20/-√841 . . . . . . . . . . . . . . . . . θ is a 4th-quadrant angle, so cos(θ) > 0
.. = 20/29
The value of the cosine is 20/29.
