We know, shortest distance between two points
and
is :

So, distance between house and library is :

Distance between library and post office :

Distance between post office and house :

Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.
Hence, this is the required solution.
Ok so there's 5 sides
let's find interior angle sum
formula is S=180(n-2)
n in this case is 5 since there are 5 sides
S=180(5-2)
S=180(3)
S=540
so now add the 5 angle lengths up to 540
5x+2+10x-3+7x-11+13x-31+8x-19=540
43x+-62=540
+62 +62
43x=602
divide both sides by 43
x=14!!!!!
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
If n = 1000000, then
![P(h E [495000, 505000]) = \int\limits^{50500}_{495000} {\frac{2}{\sqrt{2000000\pi}} e^{\frac{-(k-500000)^2}{500000} }} \, dk](https://tex.z-dn.net/?f=P%28h%20E%20%5B495000%2C%20505000%5D%29%20%3D%20%5Cint%5Climits%5E%7B50500%7D_%7B495000%7D%20%7B%5Cfrac%7B2%7D%7B%5Csqrt%7B2000000%5Cpi%7D%7D%20e%5E%7B%5Cfrac%7B-%28k-500000%29%5E2%7D%7B500000%7D%20%7D%7D%20%5C%2C%20dk)
If n = 10400, then
![P(h E [495000, 505000]) = \int\limits^{50500}_{495000} {\frac{2}{\sqrt{2000000\pi}} e^{\frac{-(k-500000)^2}{500000} }} \, dk](https://tex.z-dn.net/?f=P%28h%20E%20%5B495000%2C%20505000%5D%29%20%3D%20%5Cint%5Climits%5E%7B50500%7D_%7B495000%7D%20%7B%5Cfrac%7B2%7D%7B%5Csqrt%7B2000000%5Cpi%7D%7D%20e%5E%7B%5Cfrac%7B-%28k-500000%29%5E2%7D%7B500000%7D%20%7D%7D%20%5C%2C%20dk)
If N = 102, then

Step-by-step explanation:
Since the coin is fair, then the probability that a filp is heads is 1/2. Given N tries, the amount of heads can be approximated with a Normal distribution with mean μ = N *1/2 = N/2 and standard deviation σ = √(N*1/2 * 1/2) = √N/ 2
The density function of that random variable is given by de following formula

If n = 1000000, then
![P(h E [495000, 505000]) = \int\limits^{50500}_{495000} {\frac{2}{\sqrt{2000000\pi}} e^{\frac{-(k-500000)^2}{500000} }} \, dk](https://tex.z-dn.net/?f=P%28h%20E%20%5B495000%2C%20505000%5D%29%20%3D%20%5Cint%5Climits%5E%7B50500%7D_%7B495000%7D%20%7B%5Cfrac%7B2%7D%7B%5Csqrt%7B2000000%5Cpi%7D%7D%20e%5E%7B%5Cfrac%7B-%28k-500000%29%5E2%7D%7B500000%7D%20%7D%7D%20%5C%2C%20dk)
If n = 10400, then
![P(h E [495000, 505000]) = \int\limits^{50500}_{495000} {\frac{2}{\sqrt{2000000\pi}} e^{\frac{-(k-500000)^2}{500000} }} \, dk](https://tex.z-dn.net/?f=P%28h%20E%20%5B495000%2C%20505000%5D%29%20%3D%20%5Cint%5Climits%5E%7B50500%7D_%7B495000%7D%20%7B%5Cfrac%7B2%7D%7B%5Csqrt%7B2000000%5Cpi%7D%7D%20e%5E%7B%5Cfrac%7B-%28k-500000%29%5E2%7D%7B500000%7D%20%7D%7D%20%5C%2C%20dk)
If N = 102, then
