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%
Answer:
The greatest possible value of 3x - 2y is 20
Step-by-step explanation:
3x - 2y ------- 1
For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .
As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.
put x = 10 and y = 5 in eq 1
3(10) - 2(5)
= 30 - 10
= 20
Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5
3 (5) - 2 (10)
= 15 - 20
= -5
Answer:
The answer is 1
Step-by-step explanation:
Answer:
The y-intercept is y = 2
Step-by-step explanation:
A linear function has the following format:
In which m is the slope and b is the y-intercept, which is the value of y when x = 0.
We are given these three points:
(-28, -54)
(-21, -40)
(-14, -26)
We use two of them to build a system, to find values for m and b.
(-28, -54)
This means that when 
So
(-21, -40)
This means that when 
So
The y-intercept is y = 2
Your answer would be (2,0)
