Answer:
C. 
General Formulas and Concepts:
<u>Calculus</u>
- Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that
- MVT is also Average Value
Step-by-step explanation:
<u>Step 1: Define</u>
f'(c) = 20
Interval [1, b]
<u>Step 2: Check/Identify</u>
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that
<u>Step 3: Mean Value Theorem</u>
- Substitute:
- Rewrite:
And we have our final answer!
D. The males have a suspected significant high outlier.
The outlier will make the box plot be uneven and this will affect the spread and the center.
I know isn't A, because if anything that would make it more balanced.
I know it isn't B because this would not affect the spread or the center.
I know it isn't C because the question is not asking you to determine the spread and center, just to see if there is anything that would affect them.
I hope this helps!
Answer:Answer:
w + 4 and 4 + w
Step-by-step explanation:
Given phrase,
w is increased by 4,
That is, w + 4
By the commutative property of addition,
The expression would be,
4 + w
For drawing a model that shows w + 4
Take two boxes in which first shows w and second shows 4 and add them,
Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.
Step-by-step explanation:
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
Answer:
D
Step-by-step explanation:
for example point (2,0) is one of the solutions.
=> x + 2y <4
2+ 2(0) = 2 => 2< 4 (true)
=> 3x – y > 2
3(2)-0= 6 => 6>2 (true)
so, the option D is the correct one
