Answer:
a) ![f(x) = \left \{ {{\frac{1}{4.5}, a \leq x \leq b} \atop {0, \text{otherwise}}} \right](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7B4.5%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b%7D%20%5Catop%20%7B0%2C%20%5Ctext%7Botherwise%7D%7D%7D%20%5Cright)
b) 44.44% probablility that the battery life for the tablet junior will be 9.5 hours or less
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The uniform probability distribution has the following density function:
![f(x) = \left \{ {{\frac{1}{b-a}, a \leq x \leq b} \atop {0, \text{otherwise}}} \right](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7Bb-a%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b%7D%20%5Catop%20%7B0%2C%20%5Ctext%7Botherwise%7D%7D%7D%20%5Cright)
The probability that we find a value X lower than x is given by the following formula.
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
a)
Assume that battery life of the tablet junior is uniformly distributed between 7.5 and 12 hours.
This means that ![a = 7.5, b = 12](https://tex.z-dn.net/?f=a%20%3D%207.5%2C%20b%20%3D%2012)
![f(x) = \left \{ {{\frac{1}{12 - 7.5}, a \leq x \leq b} \atop {0, \text{otherwise}}} \right](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7B12%20-%207.5%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b%7D%20%5Catop%20%7B0%2C%20%5Ctext%7Botherwise%7D%7D%7D%20%5Cright)
![f(x) = \left \{ {{\frac{1}{4.5}, a \leq x \leq b} \atop {0, \text{otherwise}}} \right](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7B4.5%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b%7D%20%5Catop%20%7B0%2C%20%5Ctext%7Botherwise%7D%7D%7D%20%5Cright)
b)
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
![P(X \leq 9.5) = \frac{9.5 - 7.5}{12 - 7.5} = 0.4444](https://tex.z-dn.net/?f=P%28X%20%5Cleq%209.5%29%20%3D%20%5Cfrac%7B9.5%20-%207.5%7D%7B12%20-%207.5%7D%20%3D%200.4444)
44.44% probablility that the battery life for the tablet junior will be 9.5 hours or less
What grade are you in ??? Its on middle
Answer:
588000
Step-by-step explanation:
if i am wrong pls tell me cause i think there's a different answer gl g
2x + 10...the common number between these 2 terms is 2...so factor the 2 out
2(x + 5) <==
3(4h+3d=18.25)-2(6h+4d=26.50)
12h+9d-12h-8d=54.75-53
d=1.75, use either original equation to solve for h...
4h+3(1.75)=18.25
4h+5.25=18.25
4h=13
h=3.25
So the cost of one hamburger and one drink is:
3.25+1.75=$5.00