1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergejj [24]
3 years ago
13

slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of

the times, and that a bicyclist who does not use steroids tests positive for steroids 9% of the time. What is the probability that a randomly selected bicyclist who tests positive for steroids actually uses steroids?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

You might be interested in
Rational expression. simplify<br> 36m-48m over 6m.
ladessa [460]
One way is to find common factors

example

8/6=4/3 because 8/6, 8 and 6 have common factor of 2 so divide that out to get 4/3
basically divide the LCM from each

so factor

we can combine 36m-48m into -12m
we have
-12m/6m

common factor is 6m
-12m/6m=(-2)/1 times (6m)/(6m)=-2 times 1=-2

answer is -2
3 0
3 years ago
Really easy....plz help if u can..will mark
goldenfox [79]

Answer:

The distributive property.

Step-by-step explanation:

The distributive property is when you distribute a number to different numbers in a parentheses. For example...

2*x would be 2x, and 2*4 would be 8.

4 0
3 years ago
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
2 years ago
What is .00762 as a multiple of a power of 10​
lys-0071 [83]

Step-by-step explanation:

0.00762 = 7.62 \times  {10}^{ - 3}  \\

3 0
3 years ago
Determine the y intercept for the following equation y=2x-8
Orlov [11]

Answer: The y-intercept is -8

Step-by-step explanation:

It's simple to understand once you memorize the slope intercept formula!

y=mx+b

m stands for the slope which is rise/run

The b is the y-intercept, which is the answer you are looking for! the y-intercept is where the line crosses the y-axis!

3 0
3 years ago
Other questions:
  • How to solve 8(3p-1)+9=3(p+2)-1 ?
    13·1 answer
  • Georgia built a model of the Empire State Building that is proportional to the actual building. The actual building is 187 feet
    7·1 answer
  • What is a collection of elements
    10·1 answer
  • A box contains 10 book covers: 5 red, 2 blue, and 3 yellow. If a student randomly selects one book cover, what is the probabilit
    10·1 answer
  • You will need 10 CAT6 cables for wiring computers in a new office. A local computer store sells them for $4.00 each plus 6% sale
    13·1 answer
  • If the measure of a triangle are in the ratio 2:5:5. What is the measure of the angle
    15·1 answer
  • Plzz <br> Answer quick plzzzz
    14·1 answer
  • (used parentheses due to "forbidden language")
    10·1 answer
  • Two new student clubs start at a school. Each club has a plan to increase membership.
    11·1 answer
  • The triangle's base and corresponding height are labeled.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!