Answer:
There is a 44.73% probability that all symbols are different.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
There are 26 total letters and 10 total digits.
The plate has the following format:
number, letter, letter, letter, number, number, number
Total outcomes
Each number can have 10 values.
Each letter can have 26 values.
There are four numbers and 3 letters.
So there are
possible plates
Desired outcomes
We cannot have repeated values.
So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits
The same logic for the letters, 26, then 25, then 24.
So there are
10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.
(a) What is the probability that all symbols are different
There is a 44.73% probability that all symbols are different.
Answer: 19.13 yd²
Step-by-step explanation:
1. By definition, you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:
1 m²= 1.19599 yd²
2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:
Therefore, you have that 16 m² is equivalent to 19.13 yd².
Answer:
2
Step-by-step explanation:
we start simplifying by removing the parenthesis
Multiply the exponents inside the the parenthesis
3^4 * 2^4
Now we apply exponential property
a^m * a^n = a^ (m+n)
3^4 * 3^-3 = 3^ (4-3) = 3^1
3 or 3^1 are same
3^1 at the top and bottom so we cancel it out
\frac{2^4}{2^3}
we apply log property . a^m / a^n = a^m-n
Now subtract the exponents
2^(4-3) = 2^1 = 2