29/36=0.8055
0.8055*100
80.55% showed up for work
Answer: There are 25 ways to select two members.
Step-by-step explanation:
Since we have given that
S={E,F,G,H,J}
Number of elements = 5
We need to select two members from S allowing the repetition.
We will use "Fundamental theorem of counting":
There are 5 choices for the first member.
There are 5 choices for the second member.
So, Number of ways would be
![5\times 5\\\\=25](https://tex.z-dn.net/?f=5%5Ctimes%205%5C%5C%5C%5C%3D25)
Hence, there are 25 ways to select two members.
The second one because there is all the inputs are different. There is one input for every output.
8 pencils = 1 package
28 children need pencils
Each child gets 4 pencils
28x4 = 112 (pencils needed)
112/8 = 14 packages needed.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
![60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3](https://tex.z-dn.net/?f=60%3D2%2A2%2A3%2A5%5C%5C%20%5C%5C%2048%3D2%2A2%2A2%2A2%2A3%5C%5C%20%5C%5C%2072%3D2%2A2%2A2%2A3%2A3)
The common factors are: 2, 2 and 3
Thus the GCF ![= 2*2*3=12](https://tex.z-dn.net/?f=%3D%202%2A2%2A3%3D12)
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth ![=\frac{60}{12}=5](https://tex.z-dn.net/?f=%3D%5Cfrac%7B60%7D%7B12%7D%3D5)
Number of pieces for gold cloth
and
Number of pieces for white cloth ![=\frac{72}{12}=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B72%7D%7B12%7D%3D6)