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vladimir1956 [14]
3 years ago
15

A recent newspaper article reported on​ American's 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 phrase​ "26% ate 3 or more servings of vegetables per​ day" refers to what kind of variable and​ why?
Choose the correct answer below.
A. The variable could be either quantitative or categorical depending on whether the subjects were asked how many servings of vegetables per day or whether they were asked if they ate 3 or more servings of vegetables per​ day, respectively.
B. The variable is quantitative because a​ percentage, 26%, is being recorded and this is a numeric measurement.
C. The variable is categorical because different foods can be divided into​ categories, for​ example: fruits,​ vegetables, dairy, and meat.
Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

a)

Step-by-step explanation:

The article reported that only 26% of american adults ate 3 or more servings of vegetables per day. We don't know if the subjects were asked how many servings per day they consume (in this case the variable would be quantitative since they would answer with a number) or if they were asked if they ate 3 or more servings per day (in this case the variable would be categorical since they would answer with a yes or no)

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Answer:

There where 10 <u>more</u> Small boxes sold than Large boxes.

Step-by-step explanation:

<u>This is a typical question that can be solved by obtaining a system of two linear equations and solving for each variable. </u>

In principle Linear Equations are algebraic expressions denoting a relationship between a Dependent variable y and an Independent variable x. In a system of Two Linear equations we have<u> two equations</u> of the same variable sets (thus Two Independent variables) so in this case both y and x will be variable terms.

Now with respect to the question and the given information, here our two Variable terms will be the small and the large boxes.

<u>Given Information:</u>

  • Small Boxes (lets call them s) cost $1 per box
  • Large Boxes (lets call them l) cost $4 per box
  • Total Number of Boxes sold is 30
  • Total Profit from sold Boxes is $60

Thus from the above we can obtain one equation denoting the Total Number of Boxes sold and one equation denoting the Total Profit from sold boxes, respectively, as follow:

s+l=30        Eqn(1): Total Number of Boxes

1s+4l=60     Eqn(2): Total Profit from sold boxes

Now we have a system of two linear equations which we can solve and find the number of small and large boxes, s and l respectively.

From Eqn(1) we see that

s=30-l      Eqn(3).

Plugging Eqn(3) in Eqn(2) we can solve for l as:

1(30-l)+4l=60

30-l+4l=60       Factored out bracket

3l=60-30          Gather similar terms on each side and simplify

3l=30

l=\frac{30}{3}

l=10

Plugging in the value for l=10 in Eqn(3) we have

s=30-10\\s=20

So we know that they were<u> 10 Large Boxes and 20 Small Boxes sold</u>, thus to answer our question, there where 10 more Small boxes sold than Large boxes.

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4 years ago
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