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
Answer:
C. 37.5 minutes
Step-by-step explanation:
You can set up a proportion to help you figure this out.
12/15=30/x (in this proportion, the number of laps are both on the numerator and the time it takes her is on the denomiator.)
Now, just cross multiply and your equations should be: 12·x=15·30, which equals to 12x=450.
Divide 12 on both sides and x=37.5
First convert all the fractions so that they have a common denominator.
1/2= 8/16
1/8= 2/16 u multiply this by 2 because he is giving 2/16 to each of his 2 children so it’s 4/16
U then multiply 1/16 by 3 because he is giving 1/16 to each of his 3 grandchildren so 3/16 in total
Then add up all these fractions 8/16+4/16+3/16= 15/16
U know that he’s giving away the remaining 15,000 which is 16/16-15/16 so 1/16 of his total estate. Then u can set a proportion to find out his total estate 1/16=15,000/x and u get that x=$240,000
6 is the greatest common factor of 24,30,42
If you round 3,826.301 and 175.6 to the nearest hundred you will get 3,800 and 200.
Multiply 3,800 * 200 = 760000
760,000 rounded to the nearest hundred thousand is 800,000.
The best estimate for the product 3,826.301 × 175.6 is B. 800,000.