The least common multiple<span> (</span>LCM<span>) of two numbers is the smallest number (not zero) that is a multiple of both.
That being said, 6 would be the LCM. Every number can go into 6 evenly. </span>
If Karina bought a townhouse for $199,900 and she has a 30 year mortgage with a fixed rate of 5.5% with monthly payments of $998.08, the percent of the purchase price that was her down payment was 12%.Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
Answer:
a) Attached
b) P=0.60
c) P=0.80
d) The expected flight time is E(t)=122.5
Step-by-step explanation:
The distribution is uniform between 1 hour and 50 minutes (110 min) and 135 min.
The height of the probability function will be:
![h=\frac{1}{Max-Min}=\frac{1}{135-110} =\frac{1}{25}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B1%7D%7BMax-Min%7D%3D%5Cfrac%7B1%7D%7B135-110%7D%20%3D%5Cfrac%7B1%7D%7B25%7D)
Then the probability distribution can be defined as:
![f(t)=\frac{1}{25}=0.04 \,\,\,\,\\\\t\in[110,135]](https://tex.z-dn.net/?f=f%28t%29%3D%5Cfrac%7B1%7D%7B25%7D%3D0.04%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%5C%5C%5Ct%5Cin%5B110%2C135%5D)
b) No more than 5 minutes late means the flight time is 125 or less.
The probability of having a flight time of 125 or less is P=0.60:
![F(T](https://tex.z-dn.net/?f=F%28T%3Ct%29%3D0.04%28t-min%29%5C%5C%5C%5CF%28T%3C125%29%3D0.04%2A%28125-110%29%3D0.04%2A15%3D0.60)
c) More than 10 minutes late means 130 minutes or more
The probability of having a flight time of 130 or more is P=0.80:
![F(T>t)=1-0.04(t-110)\\\\F(T>130)=1-0.04*(130-110)=1-0.04*20=1-0.8=0.2](https://tex.z-dn.net/?f=F%28T%3Et%29%3D1-0.04%28t-110%29%5C%5C%5C%5CF%28T%3E130%29%3D1-0.04%2A%28130-110%29%3D1-0.04%2A20%3D1-0.8%3D0.2)
d) The expected flight time is E(t)=122.5
![E(t)=\frac{1}{2}(max+min)= \frac{1}{2}(135+110)=\frac{1}{2}*245=122.5](https://tex.z-dn.net/?f=E%28t%29%3D%5Cfrac%7B1%7D%7B2%7D%28max%2Bmin%29%3D%20%5Cfrac%7B1%7D%7B2%7D%28135%2B110%29%3D%5Cfrac%7B1%7D%7B2%7D%2A245%3D122.5)
The lengths of the sides are 7, 23 and 24.
In order to find this, we need to add all of the side lengths together and set equa to 54. This will allow us to solve for n.
n + 3n + 2 + 4n - 4 = 52
8n - 2 = 52
8n = 54
n = 7
This gives us the length of the first side. To solve for the others, plug 7 into the equations.
3n + 2
3(7) + 2
21 + 2
23
Then the next one.
4n - 4
4(7) - 4
28 - 4
24
X⁴-13x²+36
(x²-4)(x²-9)
x²=4. | x²=9
x=√4. |x=√9
x=2. |x=3
27x³-8=0
x³=8/27
x=2/3
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