A medical company claims it has a test that is 95% effective in determining whether an athlete is using a steroid or not. Suppose this test is given to a group of athletes in which 10% of the athletes are using steroids. What is the probability that a randomly chosen athlete actually uses steroids, given that the athlete's test is positive?

Probability = 10% = 1/10

Step-by-step explanation:

Prob (Medical company determines steroids use)  = P(D) = 95%

Prob (Group athletes use steroids) = P(S)  = 10%

Prob (athlete use steroids & medical determines steroid use) = P (D ∩ S) = 95% x 10% = 9.5%

Conditional Prob  [ P (S) I P (D) ] = P (S  ∩ D) / P (D)

= 9.5% / 95% = 10% , ie = 1/10

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.