2x - 1 ≤ x + 5 I need help solving this equation
2 answers:
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Answer:
- 7/20
Explanation:
The theoretical probability, P (A), of an event, A, is:
- P(A) = number of outcomes of event A / total number of possible outcomes
For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
- Combination of 15 strawberry juices chosen in two:
The total number of possible outcomes is:
- Combination of 25 juices chosen in two:
Thus, the probability of randomly picking two strawberry juices is:
- P (two strawberry juices) = 105/300 = 7/20
Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:
The number of permutations of the 25 letters taken 2 at a time (with repetitions) is:
The number of permutations of the 9 digits taken 4 at a time (with repetitions) is:
Each permutation of letters can be taken with each permutation of digits, therefore the total number of possible passwords is:
The number of permutations of the 9 digits taken 4 at a time (with repetitions) is:
Each permutation of letters can be taken with each permutation of digits, therefore the total number of possible passwords is: