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notka56 [123]
2 years ago
5

In a country that only wants girls, every family continues to have children until they have a girl. If they have a boy, they hav

e another child. If they have a girl, they stop. What is the proportion of boys to girls in the country
Mathematics
1 answer:
Alik [6]2 years ago
7 0

Complete Question

In a country in which people only want Girls, every family continues to have children until they have a Girl. If they have Girl, they stop. If they have boy, they will continuous have child. Assuming that the birthrate of Girl is 52%, what is the proportion of Girl in the country?

Answer:

0.52

Step-by-step explanation:

From the question we are told that

52% is the birthrate of Girls

Therefore

       \frac{52}{100} =0.52

0.52 is the proportion of Girls to boys in that country

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811 feet

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The sum of three numbers is 8. The third is 9
Ierofanga [76]

Answer:

→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>

→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>

→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>

Step-by-step explanation:

• let numbers be x, y and z

{ \tt{z = 8y - 9 -  -  - (eqn \: 1)}} \\  \\ { \tt{10x = 8y - 7 -  -  - (eqn \: 2)}} \\  \\ { \tt{x + y + z = 8 -  -  - (eqn \: 3)}}

• from eqn 2, make x the subject:

{ \tt{x =  \frac{8y - 7}{10} }} \\

• substitute all variables in eqn 3:

{ \tt{ \frac{8y - 7}{10}  + y + 8y - 9 = 8}} \\  \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\  \\ { \tt{98y = 177}} \\  \\ { \boxed{ \tt{ \: y = 1.8}}}

• find z

{ \tt{z = 8y - 9}} \\  \\ { \tt{z = 8(1.8) - 9}} \\  \\ { \tt{z = 14.4 - 9}} \\  \\ { \boxed{ \tt{ \: z = 5.4 \: }}}

• find x:

{ \tt{x =  \frac{8(1.8) - 7}{10} }} \\  \\ { \tt{x =  \frac{7.4}{10} }} \\  \\ { \boxed{ \tt{ \: x = 0.74 \: }}}

Rounding to nearest value:

{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{  \rm{z = 5}}}

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2 years ago
Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population
krok68 [10]

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

  • initial population = 500000
  • rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

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