For this problem, we can assume the total money is X, than we can get the equation of: 0.08*X*12=7680, than we can know X=8000, therefore, Mike's grandmother deposit 8000 in the account.
Answer:
Explanation:
You can find the theoretical probability of the event "the sum of the numbers is at least 4".
The theoretical probability is:
- number of positive outcomes / number of possible outcomes.
<u>1. Number of positive outcomes.</u>
The number of positive outcomes is the amount of ways for which the sum of the numbers is at least 4.
Those are:
- Sum = 4: (1,3); (2,2), (3,1) → 3 ways
- Sum = 5: (1,4), (2,3), (3,2), (4,1) → 4 ways
- Sum = 6: (1,5), (2, 4), (3, 3), (4, 2), (5,1) → 5 ways
- Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways
- Sum = 8: (2,6), (3,5), (4,4), (3,5), (2,6) → 5 ways
- Sum = 9: (3,6), (4,5), (5,4), (6,3) → 4 ways
- Sum = 10: (4,6), (5,5), (6,4) → 3 ways
- Sum = 11: (5, 6), (6,5) → 2 ways
Thus, the total number of ways to have a sum of at least 4 is: 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.
<u>2. Number of possible outcomes</u>
The total number of possible outcomes is found by multiplying the ways each die can be rolled, this is: 6 × 6 = 36.
<u>3. Probability</u>
Then, the searched probability is 33/36 = 11/12 ≈ 0.92
% Decrease = Decrease ÷ Original Number × 100
Divde 11,625 by 12,500 and multiply the answer by 100.
11,625 ÷ 12,500 × 100 = 93
The percentage reduction is 93%.
The figures are similar, so the corresponding sides are proportional.
For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.
The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1
