All you do is add up all your sides! So if your shape has 4+4+5+5 = 18. All you do is add them up!
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
![Tom: R_{T}*6=1\\Huck: R_{H}*5=1](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%2A6%3D1%5C%5CHuck%3A%20R_%7BH%7D%2A5%3D1)
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
![Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5CHuck%3A%20R_%7BH%7D%3D%5Cfrac%7B1%7D%7B5%7D)
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
![(\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B5%7D%29%2AT%3D1%5C%5C%5C%5CT%2A%2811%2F30%29%3D1%20%2C%20T%20%3D%2030%2F11)
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>
Answer:
Margin of error
It means we know that the percentage of people that would vote for Robert Smith could be 49% in the worst case and 55% in the best case
Answer:
9/16
Step-by-step explanation:
Since it is only 2 sets of 4 coices it would be super easy to write them all out.
Plant 1 Clay
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Clay
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Clay
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
Cactus Clay
Cactus Plastic
Cactus Metal
Cactus Wood
16 choics total, take out all with a cactus or clay pot
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
9 choices left, so probability is 9/16
to do it for any number find the total number of choices again, so 16 then you subtract the number of each category you are excluding. so there were 4 cacti and 4 clay, so subtract 8, to get 8. Then you add back any that had both clay and cacti, which there was one, whn you had a cactus in a clay pot, so add back 1. This gets us 9 again.
This is called the inclusion exclusion principle. Might want to look into this specifically.