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A coach asked her athletes if they enjoy running. Forty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.

a tree diagram shows athletes branching off into two categories of enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories of enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two sub-categories of enjoys cycling and does not enjoy cycling

What is the total percentage of the athletes who do not enjoy cycling?

50%
24.5%
13.5%
11%

A Coach Asked Her Athletes If They Enjoy Running Fortyfive Percent Of The Team Do Not Like To Run Of Those 70 Enjoy Cycling While 80 Of Those Who Enjoy Running class=

Sagot :

Using proportions, the total percentage of the athletes who do not enjoy cycling is: 24.5%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the proportions of people who do not like cycling are:

  • 0.30 of 0.45(do not like to run).
  • 0.2 of 0.55(enjoy running).

Hence the total proportion is:

0.3 x 0.45 + 0.2 x 0.55 = 0.245.

Multiplying by 100% to convert from proportion to percentage, 24.5% of the athletes who do not enjoy cycling.

More can be learned about proportions at https://brainly.com/question/24372153

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