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

BRAINLIST AND MANY OTHERS THINGS

Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?

Answers

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.

Stats question, I'm really stck please help me!

Answers

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]  

     

which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

what is this answer!!!!!!!!

Answers

Step-by-step explanation:

what is this answer

(3x + 40) + (5x - 52) = 180°

8x - 12 = 180°

8x = 180 + 12

8x = 192

8x = 24

x = 3

X=3 ......
Hope it helps

what is the final position of (-7) + (-2) on a number line ?

Answers

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?

Answers

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.

Answers

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Y’all know this anything about this?

Answers

We are given:

Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10

To Find: ∠E

Concept Used:

Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Which expressions are equivalent to 6a(5+d) ?

Select each correct answer.


30a+6ad

30ad

30a+(6a⋅d)

(6a⋅5)+(6a⋅d)

11a + d

Answers

Answer: A is correct i think

Step-by-step explanation:  6a x 5 = 30a

                                              6a x d = 6ad

Answer:

A

Step-by-step explanation:

Count by 5’s starting with 99

Answers

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.

Answers

Answer:

342

Step-by-step explanation:

50+4x=y

x=73

21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?

Answers

Answers:

2 sedans and 3 vans

=====================================================

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Divide. Write in simplest form.
3/4 divided by 1/8

Answers

Answer:

when you divide 3/4 by 1/8 you get 6

how many men have a waist measurement of more than 85cm

Answers

Answer:

29

Step-by-step explanation:

The answer is 29 hope this helps you! :)

f(x)=2x 5 −13x 4 +22x 3 −187x 2 −160x+336

Answers

Answer:

i think 3

Step-by-step explanation:

Solve for u .

-24 = u ÷ 6

u =

Answers

Answer:

[tex]u = - 144[/tex]

Step-by-step explanation:

[tex] - 24 = u \div 6[/tex]

[tex] - 24 \times 6 = u[/tex]

[tex] - 144 = u[/tex]

to be sure

[tex] - 24 { = }^{?} - 144÷6[/tex]

[tex] - 24 = - 24[/tex]

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS



3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100

Answers

3,5×  3 + 4 × 7 =3 8,5

46*4-42=143      46* 2- 4 2=  50

5,83+4*2=13,83 5,83+4*100=405,83

Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?

Answers

Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

  A/P = (1 +r/n)^(nt) . . . . . . divide by P

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

How many solutions does this equation have?
-3n = -4n + 7

Answers

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

8

3

n

=

8

3

n

3

=

8

3

3

n

3

=

8

3

n

=

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

6

3

n

=

6

3

n

3

=

6

3

3

n

3

=

2

n

=

2

The solution is:

n

=

8

3

and

n

=

2

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

Answers

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3

B= 348.3 cm3

C= 673.8 cm3

D= 2926.1 cm3

Answers

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

I need help please I am having hard time doing this

Answers

i believe it’s undefined *shrugs* haven’t done those in a while

Answer:you are corect its negetive

Step-by-step explanation:

A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?

Answers

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

4,0000000000×10,00000000

Answers

Answer:

yes 40

Step-by-step explanation:

she got it correct

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY

Answers

451/8=56.38 is what i got

4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?

Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.

Balanced equation: 1N2 (g) + 3H2(g)  2NH3(g)

Molar mass of H2 = g/mol

100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3

Molar Mass of N2 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3

A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product

B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product

C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3

Answers

Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have

100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂

Hydrogen (H) has a molar mass of about 1.008 g/mol, so

100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂

In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have

3.570 • 3 ≈ 10.71

so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.

(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.

(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.

(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or

7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃

good monke good monke dog

Answers

Answer:

very inspirational thanks

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}









y=−7x+3
y=−x−3

Answers

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

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In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells? Which of the following may trigger elder abuse bya caregiver? question 1. The construction of the Temple took seven years.False True? question 2Solomon sinned by allowing the corruption of God's people in the worship of idols.TrueFalse A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?A= 110.9 cm3B= 348.3 cm3C= 673.8 cm3D= 2926.1 cm3 Which detail best supports Cameron's opinion that he was hooked on making things out of metal Type the word that appropriately completes each statement.All fish reproduce sexually, but fertilization may occur in one of two ways.In__________fertilization, the female fish releases eggs in the water or on a surface. The male fish spreadssperm over the eggs to fertilize them.In__________fertilization, the eggs are fertilized inside the female's body. The young develop there until thefemale gives birth. 7. Choose and copy the best answers for the numbered blank below.(Rewriting is not compulsory.)Mother lark had built(1)__ (a, an, the) nest amidst the corn crops ofthe field. She lived there with her two new born babies. The little larks werehappy in their nest. Slowly they grew__ (ii) (up, in, on) and learned flying.Time passed and then came the harvest season. The baby larks_(iii)_ (areobserving keenly, were keenly observing, keenly were observing) theharvest taking place in the other fields. They said to their mother," Mom,now we should fly away from here (iv)_(so, because, therefore) thefarmer of this field will also be coming on ripping his crops."The mother replied, The farmer is not ready. We needn't fly so early.After a few days, the farmer, with his neighbour_(v) (come, comes, came)in the field. He discussed about the harvest and requested him to come thenext day to help him in the harvest. The baby larks again asked, Mom, weshould fly now,_(vi) (should we, didn't we, shouldn't we)? The motherreplied, No my dear, the farmer will not get his neighbour_(vii)_(help,helped, to help him tomorrow in this busy harvest season. There is no needto fly.Next day, the farmer came to his field and said to himself," Nothing toworry, if my neighbour does not come, I (viii) (will call, would call,would have called) my relatives for help. The baby is very anxious. Theyagain asked their mother (ix) (that, whether, too) it was the right time tofly. But they (x) (are told, told, were told) to be patient. A few days later,the farmer came to the farm alone with a sickle in his hand. The mother saidto the children, Come on my children ! Let's fly from this field. Today,the former has decided to harvest the crop himself. PLEASE HELP ASAP!!! 18 points!! and marked brainliest!!How did Renaissance ideas spread beyond Italy?Select all correct answers.a. merchants who journeyed throughout europe spread the word about italian accomplishments b. when leonardo da vinci went to work in France, he carried with him knowledge of renaissance ideas, art, and architecture c. wealthy merchants in northern europe offered enormous sums of money to renaissance artists who would reveal their secretsd. scholars traveled from monastery carrying italian ideas and books with them are all equilateral triangles acute? The purpose of government in a theocracy is to:a. guarantee rights for womenb. elect the most qualified leadersc. reduce the total amount of taxesd. promote a specific religion. about what percentage of immigrants become citizens of the United States?10%50%25%70% How many solutions does 46x 23 = 46x + 23 have . Consumers depend on plants or other organisms for food. When animals eat plants or other animals veedoes the energy from that food go? Two substances in a mixture differ in density and particle size. theses properties can be used to what is cellurar respiration? the fall of a body on the earth's surface cannot be a complete free fall why ? PLS HELP TON OF POINTS AND BRAINLIEST Science: Look at the image and answer the question correctly. Please help due soon!