A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model y
ear. The dealer used the data from the frequency table to create this conditional relative frequency table by column.
Which is the best description of the 0.1 in the table?
Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Given that a car is from the previous model year, there is a 10% chance that it is a coupe.
There is a 10% chance that the car is from the previous model year.
There is a 10% chance that the car is a coupe.
Which is the best description of the 0.1 in the table?
Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Given that a car is from the previous model year, there is a 10% chance that it is a coupe.
There is a 10% chance that the car is from the previous model year.
There is a 10% chance that the car is a coupe.
2 answers:
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Answer: 
Explanation: For a general binomial expansion,
, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
Explanation: For a general binomial expansion,
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
Answer:
Volume of right rectangular prism = 3.75 in³
Step-by-step explanation:
Given:
First side of rectangular prism = 2 inches
Second side of rectangular prism = 1 = 1.5 inches
Third side of rectangular prism = 1 = 1.25 inches
Find:
Volume of right rectangular prism:
Computation: