A simulation is a mathematical model used to represent a situation.
- A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.
When we combine two or more simple events we have a compound event
- "Compound" means to combine, like a compound word would be a combination of two words
A Tree Diagram is a diagram that shows all the possible outcomes of an event
- In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.
All the possible outcomes or results is called the sample space
- The outcomes are each different samples, and a sample space is a space that collects each of these samples
When an event is not affected by a previous outcome we have an independent event
- This event is "independent", not affected by other factors, making it an independent event
Let me know if you need any clarifications, thanks!
~ Padoru
I can't see the options, but you would need to multiply (4x - 2y = 7) by 3, and (3x - 3y = 15) by 4 so that you get 12x in both equations. Then when you subtract, you eliminate 12x. I hope this helps!
Rearrange x²+y²-4x+6y=-11 I'll tell you an easy way. take the coefficient of x and divide it by -2 and the coefficient of y and divide it by -2 so -4 ÷-2 = 2 6÷-2= -3 (2,-3) is the center of the circle to know the radius √2² + -3² + -11 =√2 The Radius equals √2
Answer:
y = 8x
Step-by-step explanation:
Given that :
Ornanment are packed in boxes
Number of ornament per box = 8
x = number of boxes packed
y = Number of ornaments
Number of Ornanments packed = (Number ornaments per box * number of boxes packed
y = 8 * x
y = 8x
Question 1:
For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels
Question 2:
For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230
