Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

Therefore, the probability is:

The probability is 1/20 or 0.05.
Answer:
First term=1024
Common ratio = ½
Step-by-step explanation:
Index means its position
Even index means the 2nd, 4th, 6th ....terms
Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.
volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3
Now let's double it
volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3
So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3
3.5 x 8 = 28 m^3
Answer:

Step-by-step explanation:
Given

----- the equation of the curve
Required
The slope of f(x)
The slope (m) is calculated using:

implies that:

So, we have:


If
; then:

So, we have:

Multiply by: 

Expand the numerator

Collect like terms


Cancel out h

implies that we substitute 0 for h;
So, we have:




<em>Hence, the slope is 1/12</em>