Question

In a year there are 956 births in a towns A of

which 52.5% were males, while in town A and B

combined, this proportion in a total of 1046 birth

was 0.496. Is there any significant difference in

the population of male birth in the two towns?​

Answer 1

Answer:

Town A : 956 births, 52.5% or 502 are males. Hence, females are 454 nos.

Towns A + B : 1,406 births, 0.496 or 697 are males, then females are 709 nos.

But Town B males = 697 - 502 = 195 males.

There is a difference of 307 males more in Town A than in Town B, or an increase of 156.76% more males than in Town B.

Step-by-step explanation:

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Answer 2

The difference in the population of male birth in the two towns  (town A & town B) is 485.

Step-by-step explanation:

Given:

In  town A are 956 births.

In  town A, 52.5% were males.

Town A and town  B combined, this proportion in a total of 1046 births was 0.496.

To Find:

The difference in the population of male birth in the two towns (town A & town B) .

Solution:

As given- Births 956  are in a town A.

The population of town A =956

As given- in  towns A, 52.5% were males.

The population of  males in town A $=956\times\frac{52.5}{100}$

                                                           $=502$

                                                             

As given- town A and B combined, this proportion in a total of 1046 birth was 0.496.

The population of  (town A + town B) combined =1046

The population of  males in (town A+ town B) $=1046\times0.496 =519$

The population of  males towns B = The population of  males in (town A+ townB) combined – The population of  males in towns A

                                                         $= 519-502= 17$                                                          

The difference in the population of male birth in the two towns (town A & town B) =The population of  males towns A-The population of  males towns A

               $=502-17 =485$

Thus,the difference in the population of male birth in the two towns       (town A & town B) is 485.

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