Prob ( 41 = X = 77) =
Prob ( (41-59)/9 = Z = (77-59)/9 ) = --- changes to z scores
Prob ( -18/9 = Z = 18/9 ) =
Prob ( -2 = Z = 2) =
Prob ( z=2) - Prob(Z=-2) = by property of the normal bell curve
= 0.9772 - 0.0228 per the normal distribution table
= 0.9544
<h2>
Explanation:</h2><h2>
</h2>
Here we know that an internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. Assuming just a month, we can write a constant equation given by the form:
![y=175 \\ \\ \\ Where: \\ \\ y:\text{Cost in dollars}](https://tex.z-dn.net/?f=y%3D175%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20y%3A%5Ctext%7BCost%20in%20dollars%7D)
The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. So the linear equation is:
![y=94+4.5x \\ \\ \\ Where: \\ \\ x:\text{Number of months} \\ \\ y:\text{Number of devices}](https://tex.z-dn.net/?f=y%3D94%2B4.5x%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20x%3A%5Ctext%7BNumber%20of%20months%7D%20%5C%5C%20%5C%5C%20y%3A%5Ctext%7BNumber%20of%20devices%7D)
So we need to find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan. By using inequalities:
![94+4.5x](https://tex.z-dn.net/?f=94%2B4.5x%3C175%20%5C%5C%20%5C%5C%204.5x%3C81%20%5C%5C%20%5C%5C%20x%3C%5Cfrac%7B81%7D%7B4.5%7D%20%5C%5C%20%5C%5C%20x%3C18)
<em>So you should connect less than 18 devices in a month in order for the cost of the new plan to be less than the cost of the current plan.</em>
Answer:
C. infinitely many solutions
Step-by-step explanation:
every point of the line (or lines) is a solution.
so, infinitely many.