Solution: We are given below data:
Now to find the mean deviation, we use the below formula:
Where:
represents the summation
X, represents the observation.
represents the mean
N represents the number of observation.
Therefore, the mean deviation is:
= 4
<span><span><span>−5</span>+s</span>><span>−1
</span></span>Step 1: Simplify both sides of the inequality.
<span><span>s−5</span>><span>−1
</span></span>Step 2: Add 5 to both sides.
<span><span><span>s−5</span>+5</span>><span><span>−1</span>+5
</span></span><span>s>4
</span>Answer:<span>s><span>4
hope this helps!</span></span>
Step-by-step explanation:
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
The average rate of change for the function f(x) can be calculated from the following equation
By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =
(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =
(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>
C) h(x)</span>
