Answer:
And we can find this probability using the normal standard table or excel:
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".
Solution to the problem
Let X the random variable that represent the number of days before cartridge runs out of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
Answer:
The correct answer is:
Matthew's rate is higher by $50 per month.
Step-by-step explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
I don't think any of them are the answer.
Y - y1 = m(x - x1)
slope(m) = 1...because a parallel line will have the same slope
(1,-5)...x1 = 1 and y1 = -5
now we sub
y - (-5) = 1(x - 1) =
y + 5 = 1(x - 1) <== u could leave that first " one " out if u want...
<span>x+y = 23 and 2x+3y=55; The wording of the answer choices were confusing, but both of these come together to make the correct answer. First, you need x (number of bracelets) + y (number of necklaces) to determine how many of each were sold. Then, you add 2x (cost of each bracelet x bracelets sold) and 3y (same as bracelets but for necklaces). This results in the total amount sold.</span>
