Answer:
The answer is below
Step-by-step explanation:
Using binomial probability:
p = probability of a rural student getting admission = 1/2
q = probability of a rural student not getting admission = 1/2
n = number of students = 100
P(x) = 
But 
P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)
P(x > 50) = ![\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5E%7B100%7D%5BC%28100%2C51%29%2BC%28100%2C52%29%2BC%28100%2C53%29%2B%5C%20.%5C%20.%5C%20.%2BC%28100%2C100%29%5D%5C%5C)
![P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)]](https://tex.z-dn.net/?f=P%28x%3E50%29%3D%5Cfrac%7B1%7D%7B2%7D%5E%7B100%7D%20%28%5Cfrac%7B1%7D%7B2%7D%28%202%5E%7B100%7D-C%28100%2C50%29%29%29%5C%5C%5C%5CP%28x%3E50%29%3D%28%5Cfrac%7B1%7D%7B2%7D%5E%7B100%7D%20%2A%5Cfrac%7B1%7D%7B2%7D%2A2%5E%7B100%7D%29-%20%28%5Cfrac%7B1%7D%7B2%7D%5E%7B100%7D%20%2A%5Cfrac%7B1%7D%7B2%7D%2AC%28100%2C50%29%29%5C%5C%5C%5CP%28x%3E50%29%3D%5Cfrac%7B1%7D%7B2%7D%5B%282%5E%7B-100%7D%2A2%5E%7B100%7D%29-%28%5Cfrac%7B1%7D%7B2%7D%5E%7B100%7D%20%2AC%28100%2C50%29%29%5D%5C%5C%20%5C%5CP%28x%3E50%29%3D%5Cfrac%7B1%7D%7B2%7D%5B1-%5Cfrac%7B1%7D%7B2%7D%5E%7B100%7D%20%2AC%28100%2C50%29%5D)
Answer:
A. Angle A=80°
Angle I= 30°
B.y=6.39
x=9.43
Step-by-step explanation:
Answer:
You will use 8 gallons of gas.
Step-by-step explanation:
1/3 +2/3 = 1 whole, so this iis the same as a^1. Answer, a^1/3 x a^2/3 = a
Hi there,
If what you are trying to find is the volume, then:
Here's the equation:
4×6×2 = 48 --- volume of the smaller rectangular box
12×14×2 = 336 --- volume of the bigger box
48 + 336 = 384 --- the total volume of the figure
Hope this helped :P