All athletes at the olympic games are tested for performance-enhancing steroid drug use. the imperfect test gives positive results (indicating drug use) for 90% of all steroid-users but also for 2% of those who do not use steroids (that is, the false-positive rate is 2%). suppose that 4% of all registered athletes use steroids. if an athlete is tested negative, what is the probability that the test is wrong and he or she actually uses steroids?

0.4%

Step-by-step explanation:

We have two independent events

The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".

The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"

Then the probability of 1) and 2) to happen is given by

=0.4%

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,