Answer: Choice B
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Explanation:
The two rules we use are
When applying the first rule to the expression your teacher gave you, we can say that:
Then applying the second rule lets us say
Therefore,
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In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
For this case we have the following function:
By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.
So:
Thus, the function is not defined at
The domain is given by all real numbers except 2.
Answer:
The domain is given by all real numbers except 2.
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.