Suppose you have data that shows that 12% of athletes test positive for steroids. You also know that 11% of athletes test positi
2 answers:
Answer:
the probability is: 0.92
Step-by-step explanation:
let the total number of athletes be 'x'. and let 'P' denotes the probability.
let A shows the event that a athlete test positive for steroids.
let B shows the event that athlete use steroids.
as given in the question 12% of the athletes test positive for steroids=0.12 x.
⇒ P(A)=0.12 x
also we know that 11% of the athletes test positive for steroids actually use steroids=0.11 x.
⇒P(A∩B)=0.11 x
Now we are asked to find the probability that an athlete uses steroids, given that he test positive that is we have to find
Hence, the probability that an athlete uses steroids, given that he tests positive is 0.92.
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Answer:
a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.
b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.
Step-by-step explanation:
1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.
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2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.
