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Anna [14]
3 years ago
8

The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Round your answers to t

wo decimal places. 20.933.1 21.8 58.5 23.5 110.9 30.4 24.9 74.1 60.3 40.445.4 Download data Part 1 out of 3 Find the range. The range is CHECK NEXT Submi
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

The range of given data set is 90.

Step-by-step explanation:

We are given the following data:

20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4

When this data is arranged in ascending order, we get:

20.9 , 21.8 , 23.5 , 24.9 , 30.4 , 33.1 , 40.4 , 45.4 , 58.5 , 60.3 , 74.1 , 110.9

Range is a measure of dispersion and can be easily calculated.

Formula:

Range = \text{Maximum values - minimum value}

Range = 110.9 - 20.9 = 90

Thus, the range of given data set is 90.

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[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
ale4655 [162]

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

n² + 2n - 168 = 0               [<em>subtracting 168 from both sides</em>]

We can see that we now have a quadratic equation, solving using splitting the middle term

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n(n + 14) -12(n + 14) = 0      <em>[factoring out common terms</em>]

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Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

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