is continuous over its domain, all real
.
Meanwhile,
is defined for real
.
If
, then we have
as the domain of
.
We know that if
and
are continuous functions, then so is the composite function
.
Both
and
are continuous on their domains (excluding the endpoints in the case of
), which means
is continuous over
.
Answer:
6
Step-by-step explanation:
Answer:
T = 59
U = 27
V = 94
Step-by-step explanation:
(5x +4) + (8x + 6) + (2x+5) = 180
15x + 15 = 180
15x = 165
x = 11
There are 26 letters in the alphabet, 5 are vowels, therefore, the probability of choosing a vowel the first time is:
and the second time is:
Continuing with this reasoning, we get that the probabilities each time are:
Finally, the probability that you get all vowels is the product of the probabilities:
Writing the above result as a percentage we get:
Answer: