we are given
• 6 science-fiction stories
• 4 adventure stories
• 3 historical stories
• 2 sports stories
so,
total number of stories =6+4+3+2
total number of stories =15
Probability of selecting science stories:
number of science stories =6
total number of stories =15
P(S)=(number of science stories)/(total number of stories)


Probability of selecting adventure stories:
number of adventure stories =4
total number of stories =15
P(A)=(number of adventure stories)/(total number of stories)


now, we can find
the probability that the story Artie selects is either a science-fiction story or an adventure story
that is P(AUS)
p(AUS)=p(A)+p(S)-p(A∩S)
we know that
p(A) and p(S) are independent
so,
p(A∩S)=p(A)*p(S)
we can plug it
p(AUS)=p(A)+p(S)-p(A)*p(S)
we get
p(AUS)=
p(AUS)=
...........Answer
Answer:

Step-by-step explanation:
The answer would be 400 meters in width.
All you have to do is 24,000÷60=400.
Hope this helps.
Answer:
6-2y=4y+8
since you show x through y
Answer:
The result that is obtained on comparing the system of equations in order to get the solution to the system of equations is:
6 -2y =4y + 8
Step-by-step explanation:
We are given a system of equations in term of variable x and y as follows:
x + 2y = 6 --------(1)
x - 4y = 8-------------(2)
From equation (1) we have the value of x in terms of y as:
x=6-2y
From equation (2) we have the value of x in terms of y as:
x=8+2y
Hence, on equation the above two values of 'x' we obtain:
6 - 2y = 4y + 8
ghope this helps
Answer:
P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL (First Outside Inside Last)
- Factoring
<u>Geometry</u>
Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃
- L₁ is one side
- L₂ is another side
- L₃ is the 3rd side
Step-by-step explanation:
<u>Step 1: Define</u>
L₁ = (6a - 3b)(6a - 3b)
L₂ = (5a + 5c)(5a + 5c)
L₃ = (8c - b)(8c - b)
<u>Step 2: Find Perimeter</u>
- Substitute in variables [Perimeter - Triangle]: P = (6a - 3b)² + (5a + 5c)² + (8c - b)²
- Expand [FOIL]: P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)
- Combine like terms (a²): P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²
- Combine like terms (b²): P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²
- Combine like terms (c²): P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bc
- Rearrange variables: P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bc
- Factor: P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc