Answer:
Whattt... ......?.. .. ..
Given diameter: d = 23.5 cm
find radius: r = 23.5/2 = 11.75 cm
find volume: V = (4/3)πr³ = (4/3)π(11.75 cm)³ = 6795.2 cm³
divide volume by rate: 6795.2/230 = 29.24
even though 29.24 rounds down to 29, I'd say 30 pumps just to get over the volume given in the question. It can go either way on that. It's pretty messed up for them to choose numbers so close together
Answer:
The percent of the parts are expected to fail before the 2100 hours is 0.15.
Step-by-step explanation:
Given :Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 hours.
To Find : If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?.
Solution:
We will use z score formula
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Mean value = ![\mu = 2500](https://tex.z-dn.net/?f=%5Cmu%20%3D%202500)
Standard deviation = ![\sigma = 135](https://tex.z-dn.net/?f=%5Csigma%20%3D%20135)
We are supposed to find If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?
So we are supposed to find P(z<2100)
so, x = 2100
Substitute the values in the formula
![z=\frac{2100-2500}{135}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B2100-2500%7D%7B135%7D)
![z=−2.96](https://tex.z-dn.net/?f=z%3D%E2%88%922.96)
Now to find P(z<2100) we will use z table
At z = −2.96 the value is 0.0015
So, In percent = ![.0015 \times 100=0.15\%](https://tex.z-dn.net/?f=.0015%20%5Ctimes%20100%3D0.15%5C%25)
Hence The percent of the parts are expected to fail before the 2100 hours is 0.15.
You can make the equilateral triangle into a right triangle by cutting it in half. So, your sides would be 4.5, 9, and x.
Using Pythagorean Theorem, you know that a^2 + b^2 = c^2.
The 'a' would be equal to 9, and 9^2 is equal to 81.
B is equal to 4.5, and 4.5^2 is 20.25.
So, you have the following:
81 + 20.25 = c^2
And that makes 'c' equal to 101.25.
The square root of 101.25 is approximately equal to 10.06.
So now you know the height, 10.06.
Answer:
Is that in vietnamnese?
Step-by-step explanation: