Answer:
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Step-by-step explanation:
The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
2 letters from a set of 26(permutations, as letters cannot be repeated).
6 digits, each with 10 possible outcomes.
How many student ID numbers are possible if the letters cannot be repeated?
650,000,000 student ID numbers are possible if the letters cannot be repeated.
The area covered by the plant increases by 16.66% every month.
Step-by-step explanation:
Step 1; It is given that the plant's area triples every year. So if the plants' area is 100 square feet at the beginning of a year it will be 300 square feet at the end of the year. So there will be an increase of 200% in a year.
Step 2; So to find the increase per month we divide the 200% increase per year by 12 so that it becomes a monthly increase.
Monthly increase = 
% = 16.66%. So the tropical plant's area increases by 16.66% each month.
I think I've got them
1. 127
2. 67
3. 76
4. 124
5. 100
6.118
7. 3/4
8. 4
9. 4
Step-by-step explanation:
rolling the die twice as one event we get 6×6 = 36 possible outcomes.
rolling an even number on the first try gives us 3 desired outcomes (2, 4, 6).
rolling it a second time gives us again 3 desired outcomes.
in total we have
3×3 = 9 such outcomes with 2 even numbers.
the probability for that is then
9/36 = 1/4 = 0.25
FYI - we have also 9 possible outcomes for the first roll being odd and the second being even, 9 possible outcomes for the first being even and the second being odd, and 9 possible outcomes for both being odd.
together with the 9 for both being even we get the full 36 possible outcomes. no other event is possible.
