The correct statement regarding which linear function has the lowest y-intercept is given by:
Tim’s with a y-intercept of $2,780
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For Tim's account, we have that:
m = 225, y(8) = 4580, hence:
y = 225x + b.
4580 = 225(8) + b
b = 4580 - 225(8)
b = $2,780.
For Paul's account, the y-intercept is given by:
y = 1400 + 56(26) = $2,856.
Hence the correct statement is:
Tim’s with a y-intercept of $2,780
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
![P(X = 4) = 0.2222](https://tex.z-dn.net/?f=P%28X%20%3D%204%29%20%3D%200.2222)
![P(X = 5) = 0.25](https://tex.z-dn.net/?f=P%28X%20%3D%205%29%20%3D%200.25)
![P(X = 6) = 0.2639](https://tex.z-dn.net/?f=P%28X%20%3D%206%29%20%3D%200.2639)
![P(X = 7) = 0.2639](https://tex.z-dn.net/?f=P%28X%20%3D%207%29%20%3D%200.2639)
Step-by-step explanation:
We have to find the relative frequency for each event.
The relative frequency of a event is the number of times the event event happened by the total number of events.
There are 16+18+19+19 = 72 events.
X can be 4,5,6 or 7.
We have that
![P(X = 4) = \frac{16}{72} = 0.2222](https://tex.z-dn.net/?f=P%28X%20%3D%204%29%20%3D%20%5Cfrac%7B16%7D%7B72%7D%20%3D%200.2222)
![P(X = 5) = \frac{18}{72} = 0.25](https://tex.z-dn.net/?f=P%28X%20%3D%205%29%20%3D%20%5Cfrac%7B18%7D%7B72%7D%20%3D%200.25)
![P(X = 6) = \frac{19}{72} = 0.2639](https://tex.z-dn.net/?f=P%28X%20%3D%206%29%20%3D%20%5Cfrac%7B19%7D%7B72%7D%20%3D%200.2639)
![P(X = 7) = \frac{19}{72} = 0.2639](https://tex.z-dn.net/?f=P%28X%20%3D%207%29%20%3D%20%5Cfrac%7B19%7D%7B72%7D%20%3D%200.2639)
25.00-1.29= 23.71
23.71/4.99= 4.75
He can get 4 packs of cards