Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
And the mean absolute deviation is calculated as:
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
Answer:
153.94 in²
Step-by-step explanation:
Answer:
c) -x^3 + x^2 - 1
Step-by-step explanation:
Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2
(u/v)(x) = u(x)/v(x)
Now plug in the given functions in the above formula, we get
= (x^5 - x^4 + x^2) / -x^2
We can factorize the numerator.
In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.
= x^2 (x^3 - x^2 + 1) / - x^2
Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.
(u/v)(x) = (x^3 - x^2 + 1) / -1
When we dividing the numerator by -1, we get
(u/v)(x) = -x^3 + x^2 - 1
Answer: c) -x^3 + x^2 - 1
Hope you will understand the concept.
Thank you.
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 3x - 2 is in this form with slope m = 3
• Parallel lines have equal slopes
Hence the slope of the parallel line = 3
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 3 and (a, b) = (- 3, - 14), hence
y + 14 = 3(x + 3) ← in point- slope form
Distribute and simplify
y + 14 = 3x + 9 ( subtract 14 from both sides )
y = 3x - 5 ← in slope- intercept form
