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vagabundo [1.1K]
3 years ago
14

A recent newspaper article reported on​ Americans' eating habits. The article reported that only about one third of American adu

lts ate 2 or more servings of fruit per​ day, and only​ 26% ate 3 or more servings of vegetables per day. Californians ate the most​ fruit, while Tennesseans ate the most vegetables. The state that a respondent lived in is​ ___________ variable.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

The state that a respondent lived in is​ a categorical variable

Step-by-step explanation:

Categorical variable and quantitative variable:

  • Categorical variable is the non-parametric values.
  • Their values cannot be expressed by numeric value.
  • Quantitative variable are those variables whose values can be expressed in numerical.
  • They could be discrete or continuous.

The state that a respondent lived in is​ a categorical variable because it cannot be expressed in numerical,

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Answer:

Answers are in bold type

Step-by-step explanation:

f(x) = x^{2} -144x

The parabola opens up, so has a minimum at the vertex.

Let (h, k) be the vertex

h = -b/2a = - (-144)/2(1) = 57

k = 57^2 - 144(57) = 3249 - 6498 = -3249

Therefore, the vertex is (57, -3249)

The minimum value is -3249

The domain is the set of real numbers.  

The  range = {y | y ≥ -3249}

The function decreases when -∞ < x < 57  and increases when 57 > x > ∞

The x - intercepts:  x^{2} -144x = 0

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x-intercepts are (0, 0) and (0, 114)

When x = 0, then we get the y-intercept.  So, 0^2 - 114(0) = 0

y-intercept is (0, 0)

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