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
zzz [600]
3 years ago
8

g Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the prese

nce of polyester is 99% effective in detecting the presence of this disease. The test also yields a false-positive in 4% of the cases where the disease is not present. What is the probability that the test result is positive
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

The probability that the result is positive is P=0.04475=4.475%.

Step-by-step explanation:

We have the events:

D: disease present

ND: disease not present

P: test positive

F: test false

Then, the information we have is:

P(D)=0.005

P(P | D)=0.99

P(P | ND)=0.04

The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

P(P)=P(P | D)*P(D)+P(P | ND)*(1-P(D))\\\\P(P)=0.99*0.005+0.04*0.995\\\\P(P)=0.00495+0.0398=0.04475

The probability that the result is positive is P=0.04475.

You might be interested in
Help pls I need number 4 done pls
anygoal [31]

Answer:

there is an equal amount if cars on both sides so it would be 0

Step-by-step explanation:

there are 4 cars on the left and on the right of 2 1/2 so the answer would be 0 because 4-4=0

4 0
3 years ago
Why is your nose in the middle of your face
aleksandr82 [10.1K]
Well, considering this is a Math Joke, I believe, the answer is, "Because it is the scenter." Or (Center).

Hoped this helped! :)
6 0
3 years ago
If two cylinders are similar in the ratio between the altitude lengths 2:3 what is the ratio of their volumes
Vlada [557]

so that means one of the relevant sides of the cylinders, namely the height, are on a 2:3 ratio, or 2/3 for that matter.


\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\stackrel{\textit{ratio of the}}{sides}}{\cfrac{2}{3}}~\hspace{7em}\stackrel{\stackrel{\textit{ratio of the}}{volumes}}{\cfrac{2^3}{3^3}}\implies \cfrac{8}{27}\implies 8:27

3 0
3 years ago
Read 2 more answers
What is the value of y in the following equation?<br>y+9=18
statuscvo [17]
9 plus 9 equals 18. y=9
6 0
3 years ago
Read 2 more answers
Tara has ridden her bike .5 miles and
Butoxors [25]

Answer:

0.5 hours

Step-by-step explanation:

Given that Tara has covered 0.50 miles and  rides with a speed of 10 miles/hour. Felipe has  covered bike 0.25 miles and rides with a speed of 15  miles/hour.

Tara has covered more distance while the speed of Felipe is more than the speed of Tara.

Assuming that in time t hour, Felipe reaches Tara, then Tara left behind as Felipe has faster speed.

So, after t hour, Felipe will be ahead of Tara and Tara will cover lesser miles than Felipe .

As distance = speed x time, so

So, the distance covered by Tara in t hour = 10t miles and she already has covered 0.5 miles, so total distance covered by Tara = 0.5+10t miles.

Similarly, the distance covered by Felipe in t hour = 15t miles and he already has covered 0.25 miles, so the total distance covered by Tara = 0.25+15t miles.

Therefore, at the time then Felipe reached Tara, both have covered the same distance, i.e

0.25+15t=0.5+10t \\\\\Rightarrow 15t-10t=0.5-0.25 \\\\\Rightarrow 5t=0.25 \\\\

\Rightarrow t= 0.25/5=0.5 hour

Hence, after 0.5 hours Tara will cover lesser miles than Felipe .

8 0
3 years ago
Read 2 more answers
Other questions:
  • Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 ever
    10·1 answer
  • Five students equally share 1/2 of a pizza.How much of a whole pizza did each student eat
    12·1 answer
  • Please help!!! 20 points
    6·1 answer
  • hompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters,
    10·1 answer
  • I dont know what to do here​
    5·1 answer
  • Someone please help me with this​
    6·1 answer
  • PLS HELLP ILL GIVE YOU BRAINALIST
    10·1 answer
  • F(x)=−x+5, find f(-3)f(−3).
    11·1 answer
  • Johnny has 2 apples and Daniel has 5 apples. How many apples do they have combined?​
    5·2 answers
  • PLSSS HELP IF YOU TURLY KNOW THISS
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!