Suppose that the people in a certain city are catching cold. It is observed that after one​ week, 40% of the people who were sick are still sick. Of the people who were​ well, 30% are sick after one week.​ If, at some particular​ time, 20% of the people are​ ill, find the proportion of people who are sick after two weeks

Answers

Answer 1

Answer:

the proportion of people who are sick after two weeks is 33.2%

Step-by-step explanation:

Given the data in the question;

Let there be 100 people in the city;

20% of them are sick( 20/100 × 100) = 20 people

so 80% are fine = ( 100 - 20 ) = 80

after one​ week, 40% of the people who were sick are still sick

40/100 × 20 = 8%

of the 80% of people who were well, 30% got sick after one week

30/100 × 80 = 24%

so after one week. 8% + 24% = 32% of the people were sick,

hence 68% are fine.

now, after second week 40% of sick and 30% of not sick people previously will be sick

∴ Total people who are sick after two weeks    

⇒ 40/100 × 32 + 30/100 × 68

= 12.8 + 20.4

= 33.2

Therefore, the proportion of people who are sick after two weeks is 33.2%


Related Questions

which solution matches both equations ?

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I believe the answer is C I’m really sorry if it’s wrong.

Which number will you read 'two-tenths'?

Answers

Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.

Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.

can someone help me with this please?

Answers

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

explain how to find 27 percent of 16

Answers

Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.

4.32

Which two expressions are equivalent​

Answers

Answer:

A

Step-by-step explanation:

A) the only answer in which the distributive property is used correctly.

express 180 as a percentage of 200​

Answers

Answer:

90%

Divide 180 by 200, and you get .9. Convert that into. a percentage

the answer would be 90%. hope this helps.

Suppose that the functions g and f are defined as follows.

g(x)=-3+2x^2
f(x)=9-6x

a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f

If there is more than one value, separate them with commas.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]

Calculating the value of [tex](\frac{g}{f})(2)[/tex]:

[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]

               [tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]

x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.

Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]

In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

c

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK

Answers

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

What is the formula to find the permutation?

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

#SPJ5

I need help finding the area of this shape can you please help

Answers

Answer: 139.27

Step-by-step explanation:

So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.

What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?

Answers

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

helppp 30 pionts ............................................................

Answers

Answer:

I think these will work 2/4, 14/16, 4/8 if not sorry

Step-by-step explanation:

Answer:

1/2 = 2/4

7/8 = 14/16

1/2 = 5/10

Step-by-step explanation:

i h0pe this is c0rrect-

I need help! Please help me!

Answers

Answer:

y=20

Step-by-step explanation:

that what i got

How do I show work for this?

Answers

Answer:

you don't because its not relivant

Step-by-step explanation:

Answer:

You dont need too. Im assuming this is ALEKS

Step-by-step explanation:

Write an expression for the number of small squares in pattern n

Please properly answer.

Answers

Answer:

(n + 2)² + 6

Step-by-step explanation:

pattern 1:

Total squares = 15

3² + 6 = 16

Pattern 2:

Total squares = 22

4² + 6

Pattern 3:

Total squares = 31

5² + 6

Looking at the series,

There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6

Hence, expressing the nth pattern in the form ;

(n + a)² + b

Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;

b = 6

Hence, we have ;

(n + 2)² + 6

6(2x - 5) = -(x + 4)

Answers

[tex]6(2x - 5) = - (x + 4)[/tex]

[tex]12x - 30 = - x - 4[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

6(2x - 5) = -(x + 4)

Use the distributive property.

12x - 30 = -(x + 4)

12x - 30 = -x - 4

Add x to both sides.

13x - 30 = -4

Add 30 to both sides.

13x = 26

Divide both sides by x.

x = 2

Your final answer would be x = 2

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

1). Solve for n n + 46 = 67


Help helps please help

Answers

Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.

very easy 5th grade math. please look at photo and answer!! giving brainiliest

Answers

Answer:

Back Prism: 60

Front Prism: 90

Total Volume: 150

Step-by-step explanation:

Someone help me on question 10 please!

Answers

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10

Answers

15 I’m pretty sure but I don’t know

Write an expression that represents the height of a tree that begins at 7 feet and increases by 2 feet
per year. Let t represent the number of years.
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
All arts showing

Answers

Answer:

H(t) = 7 + 2t.

Step-by-step explanation:

H(t) means the height at time t:

H(t) = 7 + 2t.

9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18

Answers

Answer:

it is b

Step-by-step explanation:

Use the given functions to answer the question. F(x)=x^2

Answers

Where’s is the given part of the equation?

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation.

Answers

Answer:

4p-28=44, 4p=44+28, p=72÷4, p=18

What is the value of x?
x+4/9=3/4

Answers

Answer:

x = ¹¹⁄₃₆ Or 0.30555555555

Explanation:

x + ⁴⁄₉ = ¾

Subtract ⁴⁄₉ From Each Side

x + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉

Simplify

x = ¹¹⁄₃₆ Or 0.30555555555

- PNW

For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym me

Answers

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

Total fee = 42 + 8 = $50

Commission rate = [tex]\frac{Commission}{Total\ fee}*100[/tex]

Commission rate = [tex]\frac{8}{50}*100[/tex]

Commission rate = 0.16 * 100 = 16%

Therefore,

Commission of the employee = 16%

Answer:

Yeah I'm pretty much just clarification that it's 16% if anyone was wondering ;-; I don't really have much purpose here

What is ( 2 ⅓ * x ) + x?

Answers

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

I don't understand the problem can someone help?

Answers

Answer:

209

Step-by-step explanation:

we know 6 to the third power is 6 x 6 x 6 which we know equals 216. We know 14 divided by 2 is 7. So, 216 minus 7 is 209. That’s your answer (brainliest please?)

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