Platies are 2.14 each and guppies are about 3.12 each
True , the null hypothesis of zero difference between the two population means cannot be rejected at a 0.10 level of significance.
Given :
f a 90% confidence interval for the difference in the two population means contains zero, then the null hypothesis of zero difference between the two population means cannot be rejected at a 0.10 level of significance.
at 10 % significance:
z score = 1.282
at 90 % confidence interval :
z score = 1.645
differences between population mean = 1.282
so true the null hypothesis of zero difference between the two population means cannot be rejected at a 0.10 level of significance.
Learn more about the null hypothesis here:
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Answer:
314 square feet
Step-by-step explanation:
we know that
The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet
so
The area of a quarter circle is
![A=\frac{1}{4}\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B4%7D%5Cpi%20r%5E%7B2%7D)
we have
![r=20\ ft](https://tex.z-dn.net/?f=r%3D20%5C%20ft)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![A=\frac{1}{4}(3.14)(20)^{2}=314\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B4%7D%283.14%29%2820%29%5E%7B2%7D%3D314%5C%20ft%5E2)
Answer:
6 hours.
Step-by-step explanation:
Let t represent time taken by plant 1 in hours to release the waste.
Part of waste released by plant 1 in one hour would be
.
We have been given that two chemical plant 1 releases waste twice as fast as plant 2, so time taken by plant 2 to release the waste would be
.
Part of waste released by plant 2 in one hour would be
.
We are also told that together they fill the tank in 4 hours. So part of tank filled by both plants working together in one hour would be
.
![\frac{1}{t}+\frac{1}{2t}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt%7D%2B%5Cfrac%7B1%7D%7B2t%7D%3D%5Cfrac%7B1%7D%7B4%7D)
![\frac{1}{t}\cdot 4t+\frac{1}{2t}\cdot 4t=\frac{1}{4}\cdot 4t](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt%7D%5Ccdot%204t%2B%5Cfrac%7B1%7D%7B2t%7D%5Ccdot%204t%3D%5Cfrac%7B1%7D%7B4%7D%5Ccdot%204t)
![4+2=t](https://tex.z-dn.net/?f=4%2B2%3Dt)
![t=6](https://tex.z-dn.net/?f=t%3D6)
Therefore, it will take 6 hours for the faster plant to fill the tank working alone.
Answer:
I am unable to underst6your question