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%
Answer:
x=-5, y=-2. (-5, -2).
Step-by-step explanation:
x-3y=1
-x+6y=-7
----------------
3y=-6
y=-6/3
y=-2
x-3(-2)=1
x+6=1
x=1-6
x=-5
350 miles/7 hours = 50 miles per hour
200 miles/ 3.75 hours =53 1/3 miles per hour
200 miles in 3.75 hours is faster