If 70% of the athletes who test positive for steroids in fact use them, and 30% of all athletes use steroids and test positive, what percentage of athletes test positive? (Round your answer to the nearest whole number.)

Hence total of 43 percentage of athletes will test positive.

Step-by-step explanation:

Given:

70% of athletes test positive.

and 30 % of all athletes uses steriods.

To Find:

% of athletes test positive.

Solution:

We know that percentage is given,

Required % = [Actual uses steroids/Total Positive test]*100

Consider there are 100 athletes

So 70% has positive test=70 athletes test positive

30 % uses steroids=30 athletes uses steroids.

Hence

Percentage of athletes that will test positive will be,

=Actual uses steroids / Total positive test]*100

=[30/70]*100

=[3/7]*100

=0.4286 * 100

=42.86%

=43%