Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of
a) Probability that exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p =
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1
9514 1404 393
Answer:
y = -4x +2
Step-by-step explanation:
The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.
Here, to get from the left point to the right point, you must go down 4 units (rise=-4) and 1 unit to the right (run=1). So, the slope is ...
m = rise/run = -4/1 = -4
The constant in the equation is the y-intercept: the y-coordinate of the point where the line crosses the y-axis. That point is marked as (0, 2), so its y-coordinate is 2.
The equation for the line is ...
y = -4x +2
Direct variation means their ratio is a constant
x/y is 9/45=1/5
so when x=2, y=5*2=10
Each friend would have taken a total of 35 rides each.
This can be verified by multiplying 35 by 35 to get 1225.
The answer is the additive identity postulate.
