Answer:
The domain is (2,5,-3,0)
Step-by-step explanation:
we know that
For a set of ordered pairs, the first elements of each ordered pair represents the domain of the function and second elements of each ordered pair represents the range of the function.
The domain of a function is the set of all possible values of x
In this problem we have
![A= \ [(2,3), (5,1).(-3,-2), (0, 3)\ ]](https://tex.z-dn.net/?f=A%3D%20%5C%20%5B%282%2C3%29%2C%20%285%2C1%29.%28-3%2C-2%29%2C%20%280%2C%203%29%5C%20%5D)
therefore
The domain is (2,5,-3,0)
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:

Substituting the values, we get:

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%
1.65
You can substitute in the values of p, n and e to get the equation:
5700 = 4000c - 900
add 900 to both sides and you get
6600 = 4000c
divide both sides by 4000 and you get
1.65 = c
so the answer is 1.65
4/5 = 0.8 which would be 80%