Find the slope of the original line, and use the slope-intercept from y= mx+b to find the line parallel to y = 4.
y = 0 + 5
Answer:

Step-by-step explanation:
Given


Required
Determine the equation in slope intercept form
First, we calculate the slope of the line:

This gives:




Th equation is then calculated using:

This gives:

Open bracket

Make y the subject


Answer:
24 cartons
Step-by-step explanation:
8c=7
7/8=0.875
21/0.875=24
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Answer:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where
and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:

If we solve for the total T we got:

For this case then the expected value and variance are given by:


And the deviation is just:

So then the distribution for the total would be also normal and given by:

And we want this probability:

And we can use the z score formula given by:

