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

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%

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

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