The question is asking for a point at which the two values would intersect, so i think that it is looking for a solution. in this case, i would solve the equations: y=0.15x+19 and y=0.19x.
the point of intersection for these equations is (475, 90.25). you are looking for the x value, so the answer would be 425 minutes of calling for the two plans’ costs to be equal.
Answer:
52
Step-by-step explanation:
a/13=4
a=13x4
So, a = 52
Answer:
The manufacturer should advertise 11720 pages.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 12450, standard deviation of 570:
This means that ![\mu = 12450, \sigma = 570](https://tex.z-dn.net/?f=%5Cmu%20%3D%2012450%2C%20%5Csigma%20%3D%20570)
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?
They should advertise the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28. Then
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.28 = \frac{X - 12450}{570}](https://tex.z-dn.net/?f=-1.28%20%3D%20%5Cfrac%7BX%20-%2012450%7D%7B570%7D)
![X - 12450 = -1.28*570](https://tex.z-dn.net/?f=X%20-%2012450%20%3D%20-1.28%2A570)
![X = 11720](https://tex.z-dn.net/?f=X%20%3D%2011720)
The manufacturer should advertise 11720 pages.
Answer:
137
Step-by-step explanation:
The degrees of the inscribed arc of 43 is 43 * 2 = 86
Since the total degrees in a circle is 360, x is equal to
(360-86)/2 = 137
Answer:
equation is about y = 10.5x + 152
Answer is about 332 thousand
Step-by-step explanation: