A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
2 answers:
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Answer:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
Step-by-step explanation:
The first step is to write the temperatures in crescent order:
40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,
The sample minimum is the lowest value = 40
The sample maximum is the highest value = 84.
Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:
The first quartile is the average between the 3rd and 4th terms:
The third quartile is the average between the 9th and 10th terms:
Therefore, the answer is:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
1) Inverse function:
2)
3)
Step-by-step explanation:
1)
In this first method, we want to find the inverse function of .
The original function is:
We rewrite it as
We swap the name of the variables:
Adding +4 on both sides:
And dividing by 3 on both sides:
which is identical to :
2)
In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.
We start using the function
We choose . We find:
Now we use this output value as input in the function
Substituting ,
So, the final output value (1) is equal to the input value (1).
3)
Here we want to verify that the two are inverse functions by showing that
We have
Substituting g(x) into f(x),
Viceversa, we want to show that
Substituting g(x) into f(x), we get
So, the two functions are one the inverse of the other.
Learn more about inverse functions:
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