Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?

Answers

Answer 1

Answer:

The answer is "0.95 and 0.5271".

Step-by-step explanation:

[tex]p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\[/tex]

In point a)  

p ( positive diabetes )[tex]= 1 - 0.05 = 0.95[/tex]

In point b)  

[tex]p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }[/tex]

           [tex]=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271[/tex]


Related Questions

Here we go someone help me with this!

Answers

Answer:

I think they are-

Step-by-step explanation:

I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-

Coach Coleman is ordering thigh and knee pads for the football players. There are 20 players. Thigh pads come in packs of 2 and knee pads come in packs of 4. What is the least number of packs of thigh and knee pads can he order so that none will be left over?​

Answers

Answer:

100 or 80

Step-by-step explanation:

I HAD A SIMILAR QUESTION.

I'M SORRY IF ITS WRONG.

Find the slope of the line that passes through the pair of points.
4. (1, 6), (6, -1)
7
a.
5
b.
5
7
c.
7
5
d.
5
7

Answers

Answer:

-7/5

Step-by-step explanation:

plz help! will give brainliest!

Answers

Answer:

B

Step-by-step explanation:

The graph shows 3 spaces up every our on the y axis I hope this helped you! im very good at these so I can help is u have more questions! can I have brainliest? I was the first

Answer: 3 miles per hour

Step-by-step explanation:

looking at the graph you have (1,3)  (2,6) and (3,9) and everytime its multiplying by 3... 1x3=3 , 2x3=6, 3x3=9

Therefore, your answer is 3 miles per hour

what is m% of n please help

Answers

m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer

Estimate 32% of 19.

Answers

Answer: 6.08.

Explanation: 32% × 19 = 6.08.

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?

Image of a coordinate grid with point R R located at negative 1, negative 3.
(3 points)

(−1, −3)
(−1, 3)
(5, −3)
(5, 3)

Answers

Answer:

Point R is located at the point (-1,-3)

The car needs to park 6 units above point R.

When you are moving something up or down on the coordinate grid, you are affecting the y- axis. So to find the coordinates we would keep the x value and add 6 to the y value.

Coordinates of the second car

(-1, -3 +6)

(-1 , 3)

The answer to this question is B

Adding a positive to a negative is the same as subtracting.

EX:

We were adding 6 and -3

Adding 6 and -3 is the same as subtracting 3 from 6.

Either way we get the same answer.

B is your answer

Hope this helps!

The perimeter of the square below is 36 yards. What is the length of each side?
yards

Answers

Answer:

9 yards

Step-by-step explanation:

36 divided by 4 = 9

The length of each side is 9 yards.

What is perimeter?

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the square below is 36 yards.

The length of each side,

= perimeter/ number of sides.

= 36/4

= 9 yards.

Therefore, each side is 9 yards.

To learn more about the perimeter of a shape:

https://brainly.com/question/28161250

#SPJ6

Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
How much shampoo concentrate should Devin add to the water to make the shampoo solution?

Answers

Answer:

8 cups of shampoo concentrate

Step-by-step explanation:

let x=how much shampoo concentrate Devin should add

[tex]\frac{2}{9} =\frac{x}{36}[/tex]

cross multiply

2*36=9x

72=9x

72/9=x

x=8

Devin should add 8 cups of shampoo concentrate to the water to make the shampoo solution.

Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)​

Answers

Answer:

3 - 30+15

Step-by-step explanation:

take the outside number and multiply it by each individual number in the parenthesis one at a time

99+99x=0 how to solve this

Answers

Step-by-step explanation:

99+ 99x = 0

99 = - 99x

x = - 99/99

x = -1

Hope it helps :)

Answer:

X = -1

Step-by-step explanation:

99 + 99x = 0

99x = -99

x = -99/99

x = -1

Please help i’m giving out brainliest || Q1

Answers

the answer would be a I'm my mind

it would be 8.5 ;
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]

What is the solution for this inequality?

need help fast please!​

Answers

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

[tex]-10x\leq 40[/tex]

divide by -10, which means you need to flip the inequality sign since youre dividing by a negative number

[tex]x\geq -4[/tex]

Answer:

The anwer is D

Step-by-step explanation:

up up up......

Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)

Answers

Answer:

Quincy is 5.5 mi/h faster than Marissa

Step-by-step explanation:

Speed

It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.

The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.

4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:

[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]

Quincy rides at 15 miles/hour.

Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:

13,376 / 5,280 = 2.533 miles

16 minutes = 16/60 = 0.2667 hours

Marissa's speed is:

[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]

The difference is 15 - 9.5 = 5.5 mi/h

Quincy is 5.5 mi/h faster than Marissa

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.

Answers

Answer:

a

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

b

The  95% confidence interval is  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  36

    The first sample mean is  [tex]\= x_1 = 11.4[/tex]

    The first standard deviation is  [tex]s_1 = 2.5[/tex]

    The second sample mean is   [tex]\= x_2 = 9.9[/tex]

     The second standard deviation is  [tex]s_2 = 3.0[/tex]

      The level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]

=>    [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]

=>     [tex]z = 2.3[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.3 is  

       [tex]P( Z > 2.3 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P( Z > 2.3 )[/tex]

=>    [tex]p-value = 2 * 0.010724[/tex]

=>    [tex]p-value = 0.02[/tex]

From the value obtained we see that  [tex]p-value < \alpha[/tex] hence  

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]

 => [tex]E = 1.96  *    \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}  [/tex]

  => [tex]E = 1.276   [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]( \= x_1 - \= x_2) -E <  \mu_1 - \mu_2  < ( \= x_1 - \= x_2) + E [/tex]

=>  [tex]( 11.4 - 9.9 ) -1.276  <  \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276   [/tex]

=>  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

You want to buy 4 pens, each costing 27 cents. How many dollar bills should you take to the store? im not in college btw lol

Answers

Answer:

108c so 2 dollar bills.

Step-by-step explanation:

40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?

A: 4 and 1 over 3 cubic feet

B: 4 and 2 over 5 cubic feet

C: 8 and 1 over 4 cubic feet

D: 8 and 2 over 5 cubic feet

Answers

The correct answer is D

Answer:

c

Step-by-step explanation:

hope it helps

A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in pach row?
A. 4
B 6
C. 8
D 12.​

Answers

Answer:

B..im pretty sure

Step-by-step explanation:

First it cant be D because 12 x __ = 64. There is no whole number multiplied by 12 that equals 64. So cross that out. then it's not B because 6 x ___ = 64. So also cross that out. the only thing u have left is 4 and 8. Then u can cross out A because the group of students has to be the same number of rows. Which is 8 x 8 aka B. The answer is B

Answer:

B

Step-by-step explanation:

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?

Answers

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

Whoops wrong question

NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!!

Which statement best compares the rate of change of the two functions?

O The rate of change of both functions is 2

O The rate of change of both functions is 3.

O The rate of change of function A is greater. than the rate of change of function B.

O The rate of change of function B is greater than the rate of change of function A.​

Answers

Answer: The rate of change is 2

Step-by-step explanation:

Divide the Y by X for each of them and they all are 2

Which equation has a slope of 2 and y-intercept of -3

Answers

y = 2x -3

fhfjdydtsfxbnpurwsgh

(3x + 5) (x - 2)
Multiply?

Answers

Answer:

[tex]3x^2-x-10[/tex]

Step-by-step explanation:

This equation cannot be simplified by much, so, the final answer is still an equation, [tex]3x^2-x-10[/tex].

Hope this helped! :)

Answer:

Here,

(3x+5)(x-2)

=3x^2-6x+5x-10

=3x^2-x-10

=3x^2-6x+5x-10

=3x(x-2)+5(x-2)

=(3x+5)(x-2)

please help
2×1,000+9×100+5×1+1×1100+3×11,000
2×1,000+9×10+5×110+1×1100+3×11,000
2×1,000+9×10+5×1+1×110+3×11,000

Answers

Answer:

37005

36740

35205

Step-by-step explanation:

ANYONE WANNNA HELP MATH!!!!! HRW BTW

Answers

Answer:

1/4 off

Step-by-step explanation:

1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.

If Tim has 2/3 pizza to share with 6 friends how much does he friend get

Answers

Answer:

Each friend gets 1/9th of the pizza.

Step-by-step explanation:

Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.

A partnership between two companies calls for company A to get a flat fee of $25,000 from Company B each month, plus 15% of all sales for the jointly developed product sold by company B. If Company B sells a total of $1,200,000 of the jointly developed product in the first twelve months, what will be the total amount owed Company A by Company B?

Answers

Answer:

no idea what the answer is, good luck!

Step-by-step explanation:

When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes
(X,Y) if you have an income of RM 100?
Select one:
A. (25X, 10Y)
B. (20X, 5Y)
C. (10X, 25Y)
D. (5X, 20Y)

Answers

I would say C but I’m not completely 100% sure

What is the equation of the line shown in the graph below? *

Answers

Answer:

y=1/2x−2

Step-by-step explanation:

if you find the 2 point that touch the y and x-axis on the graph, (4,0) and (0,-2), and put it in y=mx+b formula, you get the answer.

assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.​

Answers

Answer:

72.9%

Step-by-step explanation:

Given that :

27.1% of all possible observation of a certain variable are less than 17 ;

That is ;

Let variable = y ;

Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271

Proportion that lies to the right :

P(y > 17) = 1 - P(y < 17)

P(y > 17) = 1 - 0.271

P(y > 17) = 0.729 = 72.9%

Is this a function?

Answers

Answer:

yes

Step-by-step explanation:

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