Answer:
![L_c=25.12ft](https://tex.z-dn.net/?f=L_c%3D25.12ft)
Step-by-step explanation:
From the question we are told that
Width of circular path ![w_c=4ft](https://tex.z-dn.net/?f=w_c%3D4ft)
Inner Diameter ![d_i_n=550ft](https://tex.z-dn.net/?f=d_i_n%3D550ft)
Outer diameter
(inner diameter + 2 circular path width)
![d_{out}= 550 +8\\d_{out}= 558ft](https://tex.z-dn.net/?f=d_%7Bout%7D%3D%20550%20%2B8%5C%5Cd_%7Bout%7D%3D%20558ft)
Generally the equation for inner circumference of the circle
is mathematically given by
![C_1=\pi d_{in}](https://tex.z-dn.net/?f=C_1%3D%5Cpi%20d_%7Bin%7D)
![C_1=3.14*550](https://tex.z-dn.net/?f=C_1%3D3.14%2A550)
![C_1=1727ft](https://tex.z-dn.net/?f=C_1%3D1727ft)
Generally the equation for outer circumference of the circle
is mathematically given by
![C_2=\pi d_{out}](https://tex.z-dn.net/?f=C_2%3D%5Cpi%20d_%7Bout%7D)
![C_2=3.14*558](https://tex.z-dn.net/?f=C_2%3D3.14%2A558)
![C_2=1752.12ft](https://tex.z-dn.net/?f=C_2%3D1752.12ft)
Generally the difference in length of the two circumference
is mathematically given by
![L_c=C_2-C_1](https://tex.z-dn.net/?f=L_c%3DC_2-C_1)
![L_c=1752.12-1727](https://tex.z-dn.net/?f=L_c%3D1752.12-1727)
![L_c=25.12ft](https://tex.z-dn.net/?f=L_c%3D25.12ft)
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation =
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
![z=\frac{x-u}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-u%7D%7B%5Csigma%7D)
Substituting the values, we get:
![z=\frac{994-1000}{6}=-1](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B994-1000%7D%7B6%7D%3D-1)
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
You can see 2-D flat shapes on the faces of 3-D objects.
For example: You go to the store and you see a box,
the box has 6 faces. The bottom of the box is one of It's faces which is 2-D.
Step-by-step explanation:
3/4 is the same as 6/8 not sure what that model is called though
The answer is B. 3/2 is equivalent to 1 1/2 :)