Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that 
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that 
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
93.25% probability that they have taken this steroid
Answer:
Explanation:
Please, see attached the chart corresponding to this question.
The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.
The items corresponding to<em> taxes</em> are:
- <em>Federal tax: 29%</em>
- <em>State tax: 6%</em>
All the other expenses are not taxes.
Add the two items that are taxes: 29% + 6% = 35%.
Hence, the expenses that are not taxes can be calculated by difference:
Answer: 109.5 km/ hr
Step-by-step explanation:
Distance = 73 km
Time = 40 minutes = 40/60 = 2/3 hours
Speed = Distance / time
= 73 / 2/3
= 73 x 3/2 = 219 / 2 = 109.5 km/hr
Answer:
Diego is 14 years old.
Sister is 19
Step-by-step explanation:
x = Diego's age
<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>
2x-9 = 2
First to get rid of the fraction we multiply each side by 2
2(2x-9) = 2((x+24)/2)
4x-18 = x+24
The we isolate x
4x-18 = x+24
<u>-x+18 -x+18</u>
<u>3x</u> = <u>42</u> Now we divide each side 3
3 3
x = 14
So Diego is 14
Now we can solve for his sister. We can use one of the two equations from earlier to do this.
Plug 14 in for x and then solve for his sister
2(14)-9
28-9
19
His sister is 19
