Answer:
~ <em>50 centimeters of the poster ~</em>
Step-by-step explanation:
Let us plan out our steps, and solve for each:
<em>1. Given the information, let us create a proportionality as such:</em>
<em />
5 = 1 ⇒ x - centimeters of the poster
x 10
<em>2. Now let us cross multiply, and solve through simple algebra for x:</em>
5 * 10 = x,
x =<em> 50 centimeters of the poster </em>
<em></em>
Answer:
The lower the volume, the higher the pressure.
Step-by-step explanation:
Volume and pressure are inverse to each other -- so the more pressure, the less volume, and vice versa. Think of it like this: if you were squished into a tiny room, there would be a lot of pressure on you, and not a lot of volume to move in!
You can also think of it numerically. The higher the V in that equation (the higher the denominator) the lower the p in the equation.
P(3 reds out of 8)
<span>= 8C3 * [15 / (15 + 5 + 30)]^3 * [(5 + 30) / (15 + 5 + 30)]^(8 - 3) </span>
<span>= 8C3 * 0.3^3 * 0.7^5 </span>
<span>= 0.25412184 </span>
<span>= 25.4% </span>
<span>=~ 0.3</span>
If M is the midpoint, then LM = MN
3x - 2= 2x +1
x = 3
So LM = 3x - 2 = 9 -2 = 7
LM = 7