The break-even point is when there is no profit and no loss. Given the two equations for cost and revenue, we simply have to equate the two equations to solve for the unknown value, n. This is shown below:
C = 20n + 134000
R = 160n
R = C
160n = 20n + 134000
140n = 134000
n = 957.14
Among the choices, the nearest answer is D. 957.
Answer:
x > -3/2
Step-by-step explanation:
x-3x+3<6
Combine like terms
-2x+3<6
Subtract 3 from each side
-2x +3-3<6-3
-2x <3
Divide each side by -2,remembering to flip the inequality
-2x/-2 > 3/-2
x > -3/2
Answer:
25.14% probability that his score is at least 582.5.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
![\mu = 506, \sigma = 114](https://tex.z-dn.net/?f=%5Cmu%20%3D%20506%2C%20%5Csigma%20%3D%20114)
If 1 of the men is randomly selected, find the probability that his score is at least 582.5.
This is 1 subtracted by the pvalue of Z when X = 582.5. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{582.5 - 506}{114}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B582.5%20-%20506%7D%7B114%7D)
![Z = 0.67](https://tex.z-dn.net/?f=Z%20%3D%200.67)
has a pvalue of 0.7486
1 - 0.7486 = 0.2514
25.14% probability that his score is at least 582.5.
Answer:
The first option....x^2-x-12
Step-by-step explanation:
Answer:
1/625
Step-by-step explanation:
(1/25)(1/25)=1/625