Hi There! :)
An isosceles right triangle has legs that are 10 inches long . how long is the hypotenuse ?A 10in
B 14.1 in
C 20 in
D 28.2 in
A 10in<span> </span>
Answer:
The probability is ![p(n ) = 3.18*10^{-5}](https://tex.z-dn.net/?f=p%28n%20%29%20%3D%203.18%2A10%5E%7B-5%7D)
Step-by-step explanation:
From the question we are told that
The population size is N = 31
The sample size n = 4
Generally the number of way by which the n can be selected from N is mathematically represented as
=>
=> ![\left 31} \atop {}} \right. C_4 = \frac{31 * 30 * 29 * 28* 27! }{27! * 4*3 * 2 * 1 }](https://tex.z-dn.net/?f=%5Cleft%20%2031%7D%20%5Catop%20%7B%7D%7D%20%5Cright.%20C_4%20%3D%20%20%5Cfrac%7B31%20%2A%2030%20%2A%2029%20%2A%2028%2A%2027%21%20%7D%7B27%21%20%2A%20%204%2A3%20%2A%202%20%2A%201%20%7D)
=> ![\left 31} \atop {}} \right. C_4 = \frac{ 755160 }{ 24}](https://tex.z-dn.net/?f=%5Cleft%20%2031%7D%20%5Catop%20%7B%7D%7D%20%5Cright.%20C_4%20%3D%20%20%5Cfrac%7B%20755160%20%7D%7B%2024%7D)
=> ![\left 31} \atop {}} \right. C_4 = 31465](https://tex.z-dn.net/?f=%5Cleft%20%2031%7D%20%5Catop%20%7B%7D%7D%20%5Cright.%20C_4%20%3D%2031465)
The number of ways of selecting a particular sample size is is ![k = 1](https://tex.z-dn.net/?f=k%20%3D%20%201)
Therefore the probability of each simple random sample in this case is mathematically evaluated as
![p(n ) = 3.18*10^{-5}](https://tex.z-dn.net/?f=p%28n%20%29%20%3D%203.18%2A10%5E%7B-5%7D)
The third side is 65 since everything adds up to 180
Find the equations of the lines...
First find the slope...(y2-y1)/(x2-x1)=m
m=(6-1)/(8-5)=5/3 and it passes through (5,1) so
y=mx+b becomes:
y=5x/3+b and using (5,1)
1=5(5)/3+b
1=25/3+b
3/3-25/3=b
b=-22/3 so
y1=(5x-22)/3
.... now y2...
m=(8-3)/(-1--4)=5/3 (note it has the same slope as y1...
y=5x/3+b and using the point (-1,8)
8=5(-1)/3+b
8=-5/3+b
24/3+5/3=b
b=29/3, now note that the y-intercept is different...
y2=(5x+29)/3
Since these lines have the same slope but different y-intercepts, they are parallel to each other. (and will never intersect.)