Answer:
The number of different lab groups possible is 84.
Step-by-step explanation:
<u>Given</u>:
A class consists of 5 engineers and 4 non-engineers.
A lab groups of 3 are to be formed of these 9 students.
The problem can be solved using combinations.
Combinations is the number of ways to select <em>k</em> items from a group of <em>n</em> items without replacement. The order of the arrangement does not matter in combinations.
The combination of <em>k</em> items from <em>n</em> items is: 
Compute the number of different lab groups possible as follows:
The number of ways of selecting 3 students from 9 is = 
Thus, the number of different lab groups possible is 84.
Answer:
12/25
Step-by-step explanation:
48/100 simplifies to 24/50. 24/50 simplififes to 12/25.
Answer:
22969.39 yd^2
Step-by-step explanation:
Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.
15 * 6 = 90
Since there's 8 of these:
90 * 8 = 720
Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.
6 * 8 = 48 = Perimeter
Now, here's the magic equation to avoid making this more complicated:
2(1+√2)p^2
Then plug in p
2(1+√2)48^2
(2+2√2) * 2304
(2+2.8284)*2304
4.8284*2304
11124.69...
But there's two bases so: 22249.39
Lastly, add this to the 720 from the rectangular prisms.
22249.39+720 = 22969.39
Hope that helps.
