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raketka [301]
3 years ago
14

According to the Texas Department of State Health Services, there are approximately 17.7 million adults (age 18+) living in Texa

s, of which 1.45 million have diabetes. In 2010, 366,921 adult Texans were diagnosed with diabetes for the first time.
What is the incidence of diabetes in Texas? Express your answer in units of per 1000 persons per year
Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

20.73 ≈ 21 persons per year

Step-by-step explanation:

Data provided in the question:

Total population of Texas = 17.7 million

People having diabetes = 1.45 million

Number of new cases of diabetes diagnosed for the first time = 366,921

Now,

the incidence of diabetes in Texas

= [ Number of new cases diagnosed ] ÷ [ Total population ]

= 366,921 ÷ 17.7 million

= 366,921 ÷ 17,700,000

= 0.02073

thus,

the incidence of diabetes in Texas per 1000 persons

=  0.02073 × 1,000

= 20.73 ≈ 21 persons per year

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=Answer for all. (Double check)

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1.) look at chart

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8= -2/5c c=<br> What does c= ?
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Step-by-step explanation:

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A car travels 348 miles on 12 gallons of gas dominic used 8 gallons on a trip how far did the car travel
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3 years ago
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

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  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

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Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
2 years ago
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