A national military bureau for a certain country collects data on active members in the military. Results are published in a national journal. According to the document, 77.177.1 % of military members are in the reserves and 11.911.9 % of military members are Black and in the reserves. What percentage of military members in the reserves are Black?

Question

Dylan Williams

Mathematics

30 March, 03:04

A national military bureau for a certain country collects data on active members in the military. Results are published in a national journal. According to the document, 77.177.1 % of military members are in the reserves and 11.911.9 % of military members are Black and in the reserves. What percentage of military members in the reserves are Black?

+2

Answers (2)

Know the Answer?

Stacy Sims · Answer 1

P = 15.4%

The percentage of military members in the reserves that are Black is 15.4%

Correct question;

A national military bureau for a certain country collects data on active members in the military. Results are published in a national journal. According to the document, 77.1 % of military members are in the reserves and 11.9 % of military members are Black and in the reserves. What percentage of military members in the reserves are Black

Step-by-step explanation:

Given;

77.1% of military members are in the reserves

11.9% of military members are Black and in the reserves.

Let x represent the total number of military members, y represent the number of military members that are in the reserves and z represent the number of military members that are black and in the reserves.

y = 77.1% of x

y = 0.771x

z = 11.9% of x

z = 0.119x

The percentage of military members in the reserves that are Black can be written as;

P = z/y * 100%

Substituting the values of z and y, we have.

P = 0.119x/0.771x * 100%

P = 0.154 * 100%

P = 15.4%

Mylie Davidson · Answer 2

9.193259%

Step-by-step explanation:

In order to obtain the percentage of military members in the reserves who are Black, we will have to multiply the percentage of Black military members in the reserve by the percentage of military members in the reserve. This is calculated as follows:

Military members in the reserves who are Black (%) = 77.1771 % * 11.9119 %

= 9.193259%

Therefore, he percentage of military members in the reserves who are Black is 9.193259%.

Example

For example, let assume the total number of active members in the military is 100.

To obtain the number of military members who are in the reserves, we multiply 77.1771 % by 100. This gives us 78 approximately.

To obtain the number of military members in the reserves who are Black, we multiply 11.9119 % by 78 we got above who are active military members in the reserves. This gives us 9 members approximately.

I wish you the best.