Answer:
c
Step-by-step explanation:
Answer:
0.0177 days
Step-by-step explanation:
Solution:-
- The group has n = 50 people
- Each person is equally likely to have a birthday on each of 365 days in the year.
- The probability of success p = 1 / 365
- The probability of failure q = (1 - 1/365)
- We will denote random variable X as a given day has k number of birthdays.
- X follows binomial distribution:
X ~ Bi ( 50 , 1/365)
- The probability that there would be 3 birthdays on a day would be:
P ( X = 3 ) = 50C3 ( 1 / 365)^3 * ( 1 - 1/365)^47
P ( X = 3 ) = 0.00035
- The expected number of days for exactly three people to have same birth date:
E( X = 3 ) = P (X=3)*n = 0.00035*50 = 0.0177 days
x^2-25 would be your answer
All steps that Marcie did are right, but she forgot to change sign in last step.
Consider the inequality
Then
Group the numbers:
Separate terms with x and without x in different sides:
The coefficient at x is -8 and it is negative, then dividing the inequality by -8 you have to change sign in opposite:
Answer: Marcie forgot to change sign in last step.
Around 150 rotations
I rounded the radius to feet which is 1 foot. Then you have to get the diameter which is 1x2=2. The diameter is 2 feet. Now for the circumference, we multiply 2 by 3.14(which is pi). The answer to that is 6.28, and since we are rounding it, we get 6 feet. However, we are traveling 900 feet. Divide 900 by 6 and get 150.
