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
Anuta_ua [19.1K]
3 years ago
9

Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines

drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
Required:
a. Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user").
b. Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

Hence, the probability of a Negative test is P(T^C)=0.5904.

Step-by-step explanation:

(a)

Let D= Drug user and T= Test positive

Probability of drug users P(D)=36\%=0.36

                                    P(\frac{T}{D})=96\%=0.96

                                   P(\frac{T^c}{D^c})=90\%=0.90

(b)

Find the Probability of a Negative test,

     P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)

\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36

\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36

\Rightarrow P(T^C)=0.576+0.0144

\Rightarrow P(T^C)=0.5904

You might be interested in
Factor the GCF:
IceJOKER [234]
The greatest common factor (GCF) is the product of the greatest common factors of the numerical coefficients and the variables involving x and y. 
                           
                           -12(x^4)y - 9x³y² + 3x²y³
     
                            -3x²y(4x² + 3xy - y²)

<span>Thus, the answer is letter A. </span>

7 0
3 years ago
The circumference of a circle can be found using the<br> formula C = 2 nr.
victus00 [196]
Radius = circumference/2(3.14)
OPTION 3
5 0
3 years ago
Read 2 more answers
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6
horsena [70]

Answer:

x^{4} -18x^{3}+104x^{2} -172x-100

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:  

\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))(  x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\

7 0
2 years ago
If Sam earns $97.50 for 15 hours of work,How many hours will he need to work to earn $130?
svp [43]

Answer:

it would be 20

Step-by-step explanation:

because you divide to find the unit rate like 97.50/15 and then you multiply a number to the answer you got there until those two numbers have a product of 130

8 0
3 years ago
Read 2 more answers
Help.. Suppose Q is the midpoint of PR
8090 [49]

Answer:

3x+41 or 38

Step-by-step explanation:

If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38

6 0
3 years ago
Other questions:
  • What’s this someone answer for 13 points
    15·2 answers
  • What times 4 minus 2 divided by 30 equals 68
    7·2 answers
  • Are the ratios equivalent? 2/3 and 8/12 Explain.
    6·2 answers
  • What is 1/2+2/5 what is the answer of this question
    11·2 answers
  • Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
    13·1 answer
  • Help please with his if you don't mind!!!!!
    8·1 answer
  • I added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
    9·1 answer
  • How many attemps you get everyday . what is the limit. its telling me you are out of answer for now
    7·2 answers
  • PLLKEEASE HELPPPPPPP ASAPP
    5·1 answer
  • What is the least two common multiplication 2 and 5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!