Answer: The mode is: 3 . The range is: 6 .
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Explanation:
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It would be best to list this values in the data set given, from least to greatest:
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{ 3, 3, 3, 3, 4, 5, 5, 6, 9 } .
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The mode is the number that occurs most frequently in the data set, which is: "3".
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{The number, "3", occurs FOUR (4) times. The number, "4", occurs ONE (1) time. The number, "5", occurs TWO (2) times. The number, "6", occurs ONE (1) time. The number, "9", occurs ONE (1) time.}.
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The range is calculated from subtracting the LOWEST value in the data set FROM the HIGHEST value in the data set.
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The lowest values in the data set is: "3" .
The highest value in the data set is: "9" .
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To calculate the range: 9 <span>− 3 = 6 . The range is: "6".
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Answer: The mode is: 3 . The range is: 6 .
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In an arithmetic series, the value of the nth term is calculated using the equation,
an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.
In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.
Yes, yes it is; well done.
Sorry I don’t know what the answer is
The function in vertex form is

(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is

, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.