Answer:
0.1137= 11.37%
Step-by-step explanation:
Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:
P(X>=1)= ~P(X=0) = 1
P(X>=1)=- P(X=0)
P(X>=1)=1 - (364/365)^44
P(X>=1)=1- 0.8862
P(X>=1)=11.37%
- 1 1/10 + (-1 2/5)
- 1 1/10 + (-1 4/5)
-2 5/10
-2 1/2
1. (5x - 2) + 7x = 12x - 2
2. 6(x - 5) > 22
6x - 30 > 22
6x > 52
x > 52/6
x > 26/3
52 minutes 30 seconds
Take 60 minutes divide it by 8 to figure out what 1/8 of an hour is.
Then multiply our answer by 7 to find out how many minutes are in 7/8 of an hour.