Suppose that in a certain country, 10% of the elderly people have diabetes (call this Event D). It is also known that 30% of the elderly people are living below poverty level (call this Event P), 35% of the elderly population falls into at least one of these categories, and 5% of the elderly population falls into both of these categories. If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes

Answers

Answer 1

Answer:

0.1667 = 16.67% probability that she/he has diabetes

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Living below the poverty level.

Event B: Having diabetes.

30% of the elderly people are living below poverty level.

This means that [tex]P(A) = 0.3[/tex]

5% of the elderly population falls into both of these categories.

This means that [tex]P(A \cap B) = 0.05[/tex]

If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.3} = 0.1667[/tex]

0.1667 = 16.67% probability that she/he has diabetes


Related Questions

PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!


Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

C = 122.2°
a = 8 km
b = 10.4 km

Answers

Answer:

16.2

Step-by-step explanation:

Use the law of cos

c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)

=260.83

c = √260.83 = 16.15

The missing side of the triangle is 16.2 km (round to the nearest tenth)

What is law of cosines ?

If a, b, c are sides of a triangle & C be the angle opposite to side c, then

c²=a²+b²-2ab cosC

What is the missing side ?

Here, in the given question, a = 8km & b = 10.4 km

Also the angle opposite to the third side c (say) is C = 122.2°

So, according to the law of cosines,

c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)

⇒ c²= 64+108.16-(-88.67)

⇒ c²= 172.16+88.67

⇒ c²= 260.83

⇒ c= √(260.83)

⇒ c= 16.15 = 16.2(approx)

So, the missing side = 16.2 km

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PLZZZZZZZZZZZZZZZZZ HELP WILL MARK BRAINLIEST 84 POINTS
1 + 2=

Answers

Answer: 3

Step-by-step explanation: 2 is 1 and 1 put together plus another 1 makes 3

Martina is baking bread. She mixes 1 and 3/4 cups of flour with other ingredients. Then she adds 4 and 1/2 cups of flour to the mixture. How many cups of flour does she need? Solve this problem any way you choose.

Answers

Answer

First you add the whole numbers 1 + 4 which will be 5First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsFirst you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

Hope this helps.

I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty​

Answers

A
for the first because the scatter point is going up in a positive slope so I’m assuming that’s what positive correlation means.. as the dinosaurs length increases the weight increases


B
For the second one , if you plot the dots there’s no relationship .. they’re all over the place

What is the answer to the question
WILL MARK BRAINLYEST ​

Answers

Answer:

10

Step-by-step explanation:

3^3-5^2+8 = 10

Answer:

6

Step-by-step explanation:

Question: What is g³ - h² + 8, when g= 3, h = 5

Substitute the given values

3³ - 5² + 8

Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5

27 - 25 + 8

Simplify

-2 + 8 =

6

I hope this helps! Feel free to ask any questions! :)

Which club has more boys?

Drama Club
• Has 60 members.
• There are twice as many
girls as boys in the club.


Debate Club
• Has 50 members
• There are 10 more girls than boys in the club.​

Answers

Answer:

Debate club

Step-by-step explanation:

to get the answer that you need what you have to do is 60 / 2 and that equals 30 and then next what you have to do 50 - 10 and that gives you 40 so if you look closely you can see that 40 is bigger than 30 so that's how you get your answer I hope I help you out

O Mary bought 2 gallons of orange juice for a class celebration. 1 serving of juice is 1 cup. She has 24 classmates. Will there be enough juice for everyone to get a full serving?​

Answers

Yes there will be enough juice for everyone to get a full serving. There will be 8 servings left over

Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?

Answers

Answer:

i believe its a

Step-by-step explanation:

.........

Questions in the attachments

Thank you to anyone who answers it

Answers

Answer:

C. 3.5

2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)

Answer:

XY=3

Step-by-step explanation:

Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad use?​

Answers

Answer: 1/8

Step-by-step explanation:

convert 1/4 to eighths

1/4 x 2 = 2/8

2/8 yellow fabric - 1/8 red fabric = 1/8

According to the figure, which statement is correct?

A . AB and DC appear to be parallel.


B. AB and DC appear to be perpendicular.

C. BF and DC appear to be perpendicular.

D. AB and EF appear to be parallel.

Answers

Answer:

c

BF and DC appear to be perpendicular.

Answer: C

Step-by-step explanation:

BF and DC appear to be perpendicular. Perpendicular means meets at 90 degrees (a right angle)

3x/5 - 2 = x + 1/3
Solve the equation above for x.

Answers

The answer is x=-35/6

The graph shows the solution to which systems of inequalities? y 6 LO 4 3 2 1 1 -3 -2 -1 0 -1 1 2 3 4 5 6 7 8 -2 -3​

Answers

Answer:

I don't get your question

Step-by-step explanation:

Akari has a sink that is shaped like a half beer with a radius of 5 in if Akari was to fill the sink with water what would the volume be? Find the volume of the sphere with the same radius. Find the volume of the sink if it is half of a sphere.

Answers

I’m not sure I’m so sorry

Find the value of x (supplementary angle) please show work I will mark u brainlist

Answers

x/5+1=180-134
x/5=45
x=225


A__ function is a function in the form f(x) = ax? + bx+c, where a, b, and care real
numbers and a 70, that will graph as a parabola.

is it

a) quadratic
b) first
c) parabolic
d) second

Answers

The answer is quadratic

is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams ​

Answers

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

What is 79.2 divided by 2.55

Answers

79.2 / 2.55 = 31.0588

what does 1 4/9 - 1/2= to?

Answers

find a common denominator
1 4/18 - 1/18 change the numerator
1 8/18 - 9/18
u need to change 1 8/18 to an improper fraction
it would be 26/18 - 9/18
=18/18
which is 1 if u reduce

Is it 1,2,3 or 4
Look at the picture.
Thank u!

Answers

Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

Answer this correctly I’ll give brainalist + 10 points

Answers

I’m positive it’s 110 since it’s a little more than a right angle

Answer:that means it d

Step-by-step explanation:

what's the first step of solving -x^2-4x+16=0 ??? NOW!

Answers

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Linda took a math test and got 68 correct answers and 12 incorrect answers. What is the percentage of incorrect answers

Answers

Answer:

Approximately [tex]17.6[/tex] percent

Step-by-step explanation:

To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].

In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!

Answer: About 17.6%

Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]

As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.

12 ÷ 68 = 0.176

We're not done yet, we'll need to multiply the quotient by 100, as in the formula.

0.176 × 100 = 17.6

Hence, 17.6% is the answer.

Let me know if you have any questions or comments.

~ Lily, from Brainly.

ileta yoburhulumente​

Answers

Answer:

Huh???

Step-by-step explanation:

Answer:

〒-〒 ?????

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

relative dating is the answer

If x = -8, then which of the following equations makes a true statement?
A. 3x - 5 = -23
B. 2x - 2 = -18
C. 2x - 1 = -10
D. 3x - 1 = -16

Answers

It would be B. Because if x = -8 2x= -16-2 would be-18

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?

Answer is y=-1/2x-6
:)

Answers

Answer:

yo sorry I'm dum need points

graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.

Answers

Answer:-5x^2

Step-by-step explanation:

The piping connection to the vacuum pump should be

Answers

Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system

Step-by-step explanation:

Answer i am smart

Step-by-step explanation:

Consider the cylinder with a volume of 132 cm3.
What is the volume of a cone with the same radius and
height as the cylinder?
O 337 cm
O 447 cm
O 66 cm
O 132 cm
3
V = 132 cm

HELPPP

Answers

Answer:

447 cm or 337 cm can be both

The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.

The volume of given cylinder is = 132cm³

The volume of a cylinder of radius r and height h is given by

V=πr²h

Therefore, πr²h=132

Now volume of cone of same radius and height is = (1/3)πr²h

                                                                                   =(1/3)×132

                                                                                   =44cm³

Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.

To learn more about cylinder click here:

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