Answer:
The answer is below
Step-by-step explanation:
The question is not complete. A complete question is in the form:
A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.
Solution:
The total number of letters found in the word EXCELLENT = 9
i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3
Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3
probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%
ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6
Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3
probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%
Answer:
The domain of the function f(x) is:

The range of the function f(x) is:

Step-by-step explanation:
Given the function

Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:

Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form


so
Thus, the range of the function f(x) is:

Answer: 
Step-by-step explanation:
The given equation : 
Using logarithmic property : 
The given equation will be equivalent to 

Subtract 7 from both sides , we get

Divide both sides by 3 , we get

Hence, the solution is 
for an isosceles right triangle the legs would be 2 times the square root of the hypotenuse
so for this:
the legs would be 2sqrt(10)
Answer is B.
8^1/3 = (2^3)^1/3 = 2