Answer:
7238 rounded to the nearest whole number.
Step-by-step explanation:
To find the volume of the sphere, we use the formula.
![v = \frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%20%7Br%7D%5E%7B3%7D%20)
The radius will be 24 units ÷ 2 = 12 units.
Hence, the volume is
![\frac{4}{3} \pi \times {12}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%20%20%7B12%7D%5E%7B3%7D%20)
When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.
Answer:
A: 15 + 17h = c B: 4 hours
Step-by-step explanation:
For A you do write the equation by finding your x and your y first
x= $15 fee
y= $17 per hour to clean a house
c= total amount of money charged
For B you can do the problem like this:
You subtract the total amount of money which is $83 by the fixed fee of $15* and then divide your total which is $68 by the amount of money charged per hour which is $17 and you get your answer which is 4 hours.
You can also do your problem like this:
You subtract $83 - $15 to get $68
Then you can multiply $17 per hour by the number of hours that add up to $68 to get your answer.
(No matter what you have to subtract the $83 by the $15)*
Hope that helps you out alot!!!!!
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
Answer:
a) Mean 0.11 and standard deviation 0.0044.
b) Mean 0.11 and standard deviation 0.0099.
c) Mean 0.11 and standard deviation 0.0198
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation ![s = \sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
In this question:
![p = 0.11](https://tex.z-dn.net/?f=p%20%3D%200.11)
a. For a random sample of size n equals 5000.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{5000}} = 0.0044](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B5000%7D%7D%20%3D%200.0044)
Mean 0.11 and standard deviation 0.0044.
b. For a random sample of size n equals 1000.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{1000}} = 0.0044](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B1000%7D%7D%20%3D%200.0044)
Mean 0.11 and standard deviation 0.0099.
c. For a random sample of size n equals 250.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{250}} = 0.0198](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B250%7D%7D%20%3D%200.0198)
Mean 0.11 and standard deviation 0.0198
It's not 1 that is exactly the problem. It is also 0. And perhaps - 1 although that is a lot trickier than the other two.
Let's start with one. It give 1^1 = 1 for a power of 1. It gives 1^2 = 1 * 1 for a power of 2. It will give 1^100000 = 1 for a power of 100000.
So the base can be 1 but it is known that any power won't change it's value.
The same can be said of 0. 0^1000 = 0^1 = 0. 0^0 is really a bad dude. You won't learn about that for awhile.
(-1)^11 is different from (-1)^10. The first gives -1 and the second gives 1. So you have to be careful with -1.
There is nothing wrong with (1/4)^3. The power of three and the base of 1/4 are fine. The answer is (1/4)*(1/4) * (1/4) = 1/64 which is perfectly good answer.
It works for negatives too. (-1/2)^3 = - 1/8