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:
-16
Step-by-step explanation:
f(x)=-8x+8 and g(x) = sqrt x-9
(f•g)(18)=f(g(18))
g(18)=sqrt(18-9)=sqrt9=3
f(3)=-24+8=-16
Answer:
f(3) = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 1/3x + 5
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 1/3(3) + 5
- Multiply: f(3) = 1 + 5
- Add: f(3) = 6
The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."
y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.
