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
lesya692 [45]
3 years ago
14

Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select

ed, and the contents were tested and found to contain cocaine. Two additional packets were selected from the remainder and sold by undercover police officers to a single buyer. What is the probability that the 6 packets randomly selected are such that the first 4 all contain cocaine and the 2 sold to the buyer do not?
Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

The probability of selecting randomly 6 packets such that the first 4 contain cocaine and 2 not is 0.3522.

Step-by-step explanation:

Probabilities of selecting 4 packets with the ilegal substance:

(\frac{15}{4})\\= \frac{15!}{4!(15-4)!}

Combinassions possible= 1365

Probabilities of selecting 2 packets with white powder:

(\frac{5}{2})= \frac{5!}{2!(5-2)!}

Combinations possible= 10

Probabilities of selecting 6 packets from the totality of them:

(\frac{20}{6}) = \frac{20!}{6!(20-6)!}

Combinations possible= 38760

The probability of picking 4 with the substance and 2 with only white powder is:

\frac{(15ncr4)(5ncr2)}{(20ncr6)} = 0.3522

I hope this answer helps you.

You might be interested in
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current
lys-0071 [83]

Answer:

b. 988.97

Step-by-step explanation:

got a 100 on the test

6 0
3 years ago
Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
2 years ago
A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 di
shusha [124]

1.       In line with the test each person who came into interaction with the infected person will become infected also. With this information, the calculation would be: 9 people each day for 7days would be equivalent to 9 x 7 which equals 63 people.

2.       Here were 7 other people in the experiment if patient zero is left out. If each person intermingled with 6 different people every day in 7 days then the calculation would be: 7 people infected x 6 new people = 42 infected people each day

42 new people every day x 7 days = 294 infected persons.

8 0
3 years ago
A circle as 75 square centimeters . Which answer is closest of the measure of its radius
olchik [2.2K]

Answer:

≈ 4.89

Step-by-step explanation:

A = πr²

75 = 3.14 x r²

r² = 75 / 3.14 = 23.89

r = 4.89

4 0
3 years ago
I need help please?!):
Serggg [28]

Answer:

The answer is D.

Step-by-step explanation:

The first thing I did was substitute the variables in for x and y. This is the numbers in the answer choices: (x,y). I don't know if there is an easier way to do this, but you can replace the two numbers in for the variables since it's multiple choice.

For example,

A: -2+2*4=6   Isn't right

B: 1+2*-1= -1  Nope

C: (0,0) you can already tell it's not right because anything multiplied by 0 is 0.

D: -4+2*1=-2 This is the correct answer.

3 0
3 years ago
Other questions:
  • a recipe for cookies calls for 10 1/6 cups of sugar. krystal has already put in 4 2/3 cups. how many more cups does she need to
    9·1 answer
  • Determine the intercepts of the line.<br> y = 8x – 18<br> y-intercept:<br> x-intercept:
    8·1 answer
  • I rlly need help :( this is hard
    10·1 answer
  • 2 POINTS<br> What is the slope of the line that contains the points (-1,2) and (4,3)?
    12·2 answers
  • Will mark brainlist:)
    12·2 answers
  • Find the volume of the pyramid
    11·1 answer
  • A rectangular prism is shown below. What is the lateral surface area?
    11·2 answers
  • A function f(x) is graphed on the coordinate plane.
    5·2 answers
  • Which number line shows the soulution ​
    5·1 answer
  • Pleaseee help need done asappppppp
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!