The point A is located in quadrant II
The coordinate of the origin is always (0,0)
Answer:
Step-by-step explanation:
<u><em>
Options are:
</em></u>
- <em>2 feet
</em>
- <em>3 feet
</em>
- <em>9 feet
</em>
- <em>15 feet
</em>
- <em>19 feet
</em>
- <em>21 feet
</em>
- <em>30 feet</em>
<em>-------------------------------------</em>
Use the triangle inequality theorem: sum of any two side must be greater than the third side by length
- 2 feet ⇒ no, as 2 + 9 < 12
- 3 feet ⇒ no, as 3 + 9 = 12
- 9 feet ⇒ yes
- 15 feet ⇒ yes
- 19 feet ⇒ yes
- 21 feet ⇒ no, as 9 + 12 = 21
- 30 feet ⇒ no, as 9 + 12 < 30
Answer: D
Step-by-step explanation:
Standard Deviation σ2 =
Σ(xi - μ)2/N
=(1 - 5.3)2 + ... + (9 - 5.3)2/10
=68.1/10
= 6.81
σ = √6.81
= 2.60959767014
B) σ2 =
Σ(xi - μ)2/N
=(3 - 61.7)2 + ... + (99 - 61.7)2/10
=58414.1/10
= 5841.41
σ = √5841.41
= 76.429117488036
C) (1 - 11.4)2 + ... + (1 - 11.4)2/10
=8758.4/10
= 875.84
σ = √875.84
= 29.59459410095
D) (79 - 79)2 + ... + (79 - 79)2/10
=0/10
= 0
σ = √0
= 0
I hope this helps, mark as Brainliest please.
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
Find out more on equation at: brainly.com/question/2972832
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