Answer:
The <em>surface area</em> of the cube is equal to 216 cm².
General Formulas and Concepts:
<u>Geometry</u>
Surface Area Formula [Cube]:

- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 6 cm
<u>Step 2: Find Surface Area</u>
- [Surface Area Formula - Cube] Substitute in <em>a</em>:

- Evaluate:

∴ we have found the surface area of the cube to be 216 cm².
---
Topic: Geometry
Answer:
Y is going to triple(y1=3y)
Step-by-step explanation:
y=5/x;
x triples means y1=5/(3x);
Y1 divided by y, we get (5/x)/(5/3x)=(5/x)*(3x/5)=3
Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the
hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 18 people, hence
.
- 2 people will be chosen, hence
.
- David and Valerie corresponds to 2 people, hence
.
The probability that both get picked is P(X = 2), hence:


0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392
Answer:
10 19/10 meters
Step-by-step explanation:
Step one:
given data
let the amount of string used for the soccer field be x
and the amount used for coach spot be y
Also, let the total string used be represented as T
Step two:
Hence the expression for the total is
T= x+y
T= 9 1/2+ 2 2/5
T= 9.5+ 2.4
T= 11.9
or
T= 119/10 meters
or
T= 10 19/10 meters
The answer would be 50 divided into 360 and then divide to find your answer and you can explain by saying how you divided to get your total