Answer:
The probability of guessing the correct code is , If you were given ten tries to guess it.
Step-by-step explanation:
First of all, we need to find the total possible combinations due the code is composed by numbers from zero to nine are individually selected at random and combined to make a code that contains a six-digit number. So we obtain .
Then, as we have ten tries to guess, , is the probability of guessing the correct code, one out one houndred thousand.
Answer:
The system is of equations is:
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
And a total of 60 tickets were sold. Hence:
Our system of equations is:
We can solve by substitution. First, divide both sides of the first equation by 5:
Next, we can subtract a variable (r in this case) from the second equation:
Substitute:
Distribute:
Simplify:
Subtract:
Using the previous equation:
Substitute and evaluate:
So, 35 general tickets and 25 reserve tickets were sold.