Answer:
w = 
Step-by-step explanation:
The question is 
We can first use distributive property to simplify, the distributive property is 
Thus we have:

<em>Now we combine like terms and simplify to get the final answer for w</em><em>.</em>

Thus, w = 
Answer:
The Sample space DOES change, each event within the sample space DOES NOT change, The probability of each event does change. The new probability of drawing a red marble is p(R)= 1/
Step-by-step explanation:
I dont know how many red marbles are in the Jar before so I cant do that for you.
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²