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
Answer:
$3456
Step-by-step explanation:
We are given;
- Money deposited (principle) as $2,700
- Rate of interest is 3.5%
- Time is 8 years
We are required to determine the amount that will remain after 8 years
- We first need to determine the interest earned after eight years using the simple interest formula.
Simple interest = (Principle × rate × interest periods) ÷ 100
Therefore;
Interest = ($2,700 × 3.5% × 8 yrs)÷ 100
= $756
Then determine the amount after 8 years
Amount = Principle + Interest
Therefore;
Amount = $2700 + $756
= $3,456
Therefore, the money in the account after 8 years is $3456
Answer:
The correct answer is A, 73
Step-by-step explanation:
First we have to arrange the whole numbers in ascending order. i-e from smallest to largest. Showing it as follows:
53 54 59 62 64 65 66 68 70 71 75 78 79 79 83 83 86 90 91 94
Now we would find the median by taking the middle number. But this series consists of even numbers. There are 20 numbers. So we will take the middle two numbers and find their average like follows:
71 + 75 = 146/2 = 73
The answer is 73
Multiply all 4 an the answer is gonna be the area
