The mean of a data set  is equal to the sum of the terms divided by the number of terms, which here is 9. Therefore,

The median of a data set with an odd number of terms is the term that falls in the middle when the terms are ordered. The terms are already ordered:

so the element that falls in the middle is 12.

The mode of the data set is the term that occurs most frequently, which is 12.

The midrange is the mean of the least and greatest elements, which is

.

Of the four - mean, median, mode, and midrange - the median and the mode tie for being the least.

From the question, we know the average age from a random sample of 50 people was 28.5 years; however, because this data is only from a random sampling of people, it is difficult to say anything certain about the entire population.

While it seems that the previously reported age is wrong, and that the average age of people on the island is likely around 29, it is impossible to say for certain what the average age actually is without gathering data for every single person on the island. 

With findings from a random sample, you can draw conclusions about what is likely.

It is likely that the actual average age is lower than the previously reported average age; however, without data for every single person in the population, statements that are certain, such as, "The average age of the indigenous people on the island is 28.5 years," cannot be made.

Note that the statement, "The average age of indigenous people on the island is between 28 and 29 years," is a certain statement, even though it does not give an exact value for the average. Even though researchers found an average age of 28.5 years, it is still very possible that the actual average age is outside the range of 28 to 29. 

Therefore, the statement, "It is very likely that the average age of people on the island is actually much lower than previously reported," is the answer because it does not try to make any certain claims and the conclusion is supported by the findings.

From the question, we know that 60 out of a random sample of 80 locations experienced increased sales in the last two weeks; however, because this data is only from a random sampling of locations, it is difficult to say anything absolute about the population (all of the locations).

While 75% of the random sample did experience increased sales, we cannot know for certain what portion of the entire population experienced increased sales. What we can conclude from this data is that it is likely that the percentage of restaurants that experienced increased sales is roughly around 75%. 

Therefore, the statement that can be made with the most certainty is that "It is very likely that more than half of all franchise locations experienced increased sales in the last two weeks."

In an equation, a term is a single number or a variable. in our equation we have the following terms:

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..

We will separate the terms by the exponent value.

For , there is only one term: 

For , there are no terms.

For , there is two terms: 

For , there are two terms: 

For , there are two terms: 

For , there is only one term: 

For , there are two terms: 

For , there are three terms: 

There are four constant terms: 

Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Arrange and combine like terms (those with the same variable) as follows:

Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,  and  are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Step 1: Rearrange the terms from highest power to lowest power. 

We will get: .

Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.

Step 3: Isolate the term.

The second term is 

Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .

So, the answer is .

Step 1: Add the terms based on their similarities...

 and  becomes .

 and  becomes .

 and  becomes 

Step 2: Combine all the terms after "becomes" in step 1...

We add and get: .

Step 1: Subtract these terms by separating by exponents...

Step 2: Add all the simplified terms together...