Answer:

Step-by-step explanation:
For a uniform distribution we have to:
for x∈ (a, b)
for 
for 
In this case we have to:
a = 25 min and b = 105 min
We want to find:

Then


In this case:

Therefore:



Answer:
z = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-4 - (z - 6) = 12
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute negative: -4 - z + 6 = 12
- Combine like terms: -z + 2 = 12
- Subtract 2 on both sides: -z = 10
- Divide -1 on both sides: z = -10
<u>Step 3: Check</u>
<em>Plug in z to verify it's a solution.</em>
- Substitute: -4 - (-10 - 6) = 12
- Subtract: -4 - (-16) = 12
- Simplify: -4 + 16 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ z = -10 is a solution of the equation.
10.5 in^2 is the skinny rectangle
104 in^2 is the boat
24 in^2 is the flag