The answer is 8 .. hope this helps a lot :)
Answer:
The true statement is that the answer is 75
Step-by-step explanation:
Answer:
One pair of opposite sides are parallel and congruent
Step-by-step explanation:
As you can see, segment HE and GF are both marked as parallel and congruent
Answer:
The expected value of lateness
hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
![E(X)=\sum x\cdot P(X=x)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29)
Compute the expected value of lateness as follows:
![E(X)=\sum x\cdot P(X=x)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29)
![=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}](https://tex.z-dn.net/?f=%3D%280%5Ctimes%20%5Cfrac%7B4%7D%7B5%7D%29%2B%281%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%29%2B%282%5Ctimes%20%5Cfrac%7B1%7D%7B20%7D%29%2B%283%5Ctimes%20%5Cfrac%7B1%7D%7B20%7D%29%5C%5C%5C%5C%3D0%2B%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B3%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%2B2%2B3%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B20%7D)
Thus, the expected value of lateness
hours.