Answer:
Thats right
Step-by-step explanation:
Model 2 is just Model 1 divided into 3 parts.
Since only 1 of those three parts is shaded, its 1/3.
Expression that represents the length of one side of the square is x - 5.
Answer:
x³ + 7x² + 15x + 9
Step-by-step explanation:
Given that the volume (V) of a rectangular pyramid is
V = 
A h ( A is the area of base and h the height ), then
V = (3x² + 12x + 9)(x + 3) ← factor out 3 from A
= × 3(x² + 4x + 3)(x + 3)
= (x² + 4x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis
= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms
= x³ + 7x² + 15x + 9
Thus the expression for the volume is
V = x³ + 7x² + 15x + 9
Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
Answer:
16.75 cubic inches
Step-by-step explanation:
<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>
1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.
- Volume of a sphere -->
(V = volume, and r = radius) - Volume of a cylinder -->
(V = volume, r = radius,h = height)
These formulas will be needed.
2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.
3) Let's start by finding the volumes:
- Cylinder -->
We have the radius (which is 2) and the height (which is 4)
- This means we can solve -->
- 2 squared is 4, so then it would be -->
- 4 times 4 is 16 so
---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi). - Next is the Sphere-->
We have the radius (which is 2) so we can solve
- 2 cubed is 8, so it would be -->
- 8 times 4/3 is 32/3 so -->
--> which is Around 33.51 cubic inches
4) Now we have to find the difference, so we do:
This means your answer would be 16.75 as that is the closest one.
<em>Hope you understood and have a nice day!! :D</em>
