Answer:I don’t speak Spanish so I can’t help
Step-by-step explanation:
1.)subtract 600 from 750 in order to simplify
2.)divide by 15 on both sides to get y alone. Doing this cancels the 15 on the y and makes the right side equal 10
3.)y=10
If we are going to write the equation in its mathematical form, we will see that it becomes,
<span> f(x) = 17/(x – 5)</span>
The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.
<span> </span>
Let x = number of long sleeve shirts
Let y = number of short sleeve shirts
x + y = 200
x/2 + y/3 = 80
Now solve this pair of simultaneous equations to find x and y.
Answer:
The bulbs should be replaced each 1436.9 hours.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
![\mu = 1600, \sigma = 70](https://tex.z-dn.net/?f=%5Cmu%20%3D%201600%2C%20%5Csigma%20%3D%2070)
How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-2.33 = \frac{X - 1600}{70}](https://tex.z-dn.net/?f=-2.33%20%3D%20%5Cfrac%7BX%20-%201600%7D%7B70%7D)
![X - 1600 = -2.33*70](https://tex.z-dn.net/?f=X%20-%201600%20%3D%20-2.33%2A70)
![X = 1436.9](https://tex.z-dn.net/?f=X%20%3D%201436.9)
The bulbs should be replaced each 1436.9 hours.