A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is
P = 0.1
Answer:
4x^2-5y
Step-by-step explanation:
4x^2-5y
The answer is the fourth one
Answer:
Step-by-step explanation:
Let 
represent the amount of money he initially started with.
After he spent 20% on books, he will have 
of his initial money left. We can represent this as 
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with 
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
Divide both sides by 0.64 to isolate and solve for :
Therefore, the boy had $3,125 to begin with.
Wallace will pay $6,325 after 6 years.
Given:
Principal = 5,000
interest rate = 4%
Term = 6 years
Compound Interest means that the interest earned will also be earning its own interest.
Compound Interest = Principal x (1+r)^t
C.I. = 5,000 x 1.04⁶
C.I. = 5,000 x 1.265
C.I. = 6,325 TOTAL AMOUNT HE WILL PAY.
6,325 - 5,000 = 1,325 interest for 6 years.
