1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jenyasd209 [6]
3 years ago
13

It is estimated that approximately 8.1% of Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation f

or diabetes correctly diagnoses 95% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3.5% of all adults over 40 without diabetes as having the disease. Use this information and a theoretical group of 10,000 Americans to construct a table for this testing scenario. Round all answers and results to two decimal places. Test Positive Test Negative Total Have Diabetes Do not have Diabetes Total 10,000 What percentage of Americans who test positive for diabetes would we expect to actually have the disease? What percentage of Americans who test negative for diabetes would we expect to actually have the disease? What percentage of Americans who test positive will not have the disease?
Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

Multiple answers

Step-by-step explanation:

Considering that 8.1% of Americans have the disease:

If our theoretical group is of 10,000. We know that the 8.1% of our group have diabetes, so we multiplify 10,000 × .081(the percentaje) = 810. This is the total of adults in our group that have diabetes.

Now:

  • Test Positive:
  1. We know that the test correctly diagnoses 95% of adults with diabetes. In our case the total of adults with diabetes is 810, so we multiplify 810 × .95(percentaje) = 769.50.  
  2. We know too that the test incorrectly diagnoses 3.5% of the adults. In our case the total of adults with diabetes is 810, so we multiplify 810 × .035(percentaje) = 28.35.
  3. The total of adults the test diagnoses positive with diabetes should be the correctly and incorrectly we calculate previously. 769.50 + 28.35 = 797.85
  • Test Negative:
  1. The total of test negative diagnoses should be the total of our group less the positive diagnoses. 10,000 - 797.85 = 9,202.15
  • Total do not have diabetes:
  1. The total of adults do not have diabetes is the total of our group less the total of adults in our group that have diabetes. 10,000 - 810 = 9190

We expect that only the 95% of test positive for diabetes have the disease.

  1. 810 × .95(percentaje) = 769.50.

We expect that only the 5% (100% - 95% of test positive) of the 8.1% of americans afflicted with diabetes of negative test actually have the disease. 8.1 × .05(percentaje) = .40%, 9,202.15 ×.004(percentaje) = 36.80.

The 3.5% of Americans who test positive will not have the disease because this is the percentaje that the test incorrectly diagnoses.

You might be interested in
Which statement describes the behavior of the function f (x) = 3x/4-x
Luba_88 [7]

The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

The behavior of the graph is presented by the function;

f(x)= 3x/4-x

Forming a table to see the behavior,

x          f(x)

1            1

2            3

3            9

4             infinity

5             -15

6              -9

7             -7

8             -6

This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.

Learn More

Functions :brainly.com/question/11275875

Keywords : statements, behavior, function, graph

#LearnwithBrainly

8 0
2 years ago
Read 2 more answers
The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
2 years ago
Follow me on brainy,and what is a+b+z+fg-y+up+f+r=​
pickupchik [31]

Answer:

Sure why not.

Step-by-step explanation:

7 0
3 years ago
Apply the distributive property to factor out the greatest common factor<br><br> 9-12x+6y
Amiraneli [1.4K]
If you decompose 9 you will get 3*3 so 9=3*3
If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3
If you decompose 6 you will get 2*3 so 6=2*3
What do all of these numbers have in common?The 3.
So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.
9/3=3
-12x/3=4x
6y/3=2y
So,this will be your answer 3(3-4x+2y)
8 0
3 years ago
How hard is 6th grade math?
Ulleksa [173]

Answer:

super easy i can help you whenever

Step-by-step explanation:

im in high and i had As in 6th

6 0
3 years ago
Other questions:
  • The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on
    12·1 answer
  • Kate is saving money to take an SAT prep course. So far, she has $180 saved, and she plans to add $17 each month.
    7·1 answer
  • Solve the equation for y. Then find the value of y for each value of x.
    5·2 answers
  • Find the quotient -72/-12=
    14·2 answers
  • Which expression is not equivalent to 1/343
    13·2 answers
  • What value of C makes the equation true? -3 - 3/4(c - 4) = 5/4
    9·1 answer
  • if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?
    13·1 answer
  • It takes 45 minutes for 4 people to paint 5 walls . How many minutes does it take 6 people to paint 4 walls?
    9·2 answers
  • 8 1/3 x 4/5 HELLLLLLP MEEEEEE
    10·2 answers
  • Is 1/3 divided by 8 is it 1/24?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!