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
Answer:
C
Reasoning:
You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)
Y=x^2-3 for the third picture
Answer:
no real solutions
complex solutions: x = 0.5±i√10.75, y = -2.5±i·3√10.75
Step-by-step explanation:
The graph shows the line and parabola do not intersect, so there are no real solutions to this system of equations.
__
However, the complex x-solutions can be determined from the graph to be ...
x = 0.5 ±i√10.75
The corresponding y-values can be found from the equation
y = 3x -4 = 3(0.5 ±i√10.75) -4
y = -2.5 ± i·3√10.75
Answer:
15x + 15° = 3x + 9° + 78° (exterior angle is equal to the sum of the opposite interior angles)
15x - 3x = 9° + 78° - 15 °
12x = 72°
12x÷12 = 72°÷12
x = 6
