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
AlladinOne [14]
3 years ago
6

There are 15 identical pens in your drawer, nine of which have never been used. On Monday, yourandomly choose 3 pens to take wit

h you, use each one of them to write, and put them back in thedrawer in the evening. On Tuesday, you randomly choose once again 3 pens to take with you. Find theprobability that none of the 3 pens you took with you on Tuesday has ever been used.
Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer: p = 0.9337

Step-by-step explanation: from the question, we have that

total number of pen (n)= 15

number of pen that has never been used=9

number of pen that has been used = 15 - 9 =6

number of pen choosing on monday = 3

total number of pen choosing on tuesday=3

note that the total number of pen is constant (15) since he returned the pen back .

probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

probability of picking a pen that has been used on tuesday = 6/15 = 2/5

probability of not picking a pen that has not been used on tuesday= 1- 2/5= 3/5

on tuesday, 3 balls were chosen at random and we need to calculate the probability that none of them has never been used .

we know that

probability of ball that none of the 3 pen has never being used on tuesday = 1 - probability that 3 of the pens has been used on tuesday.

to calculate the probability that 3 of the pen has been used on tuesday, we use the binomial probability distribution

p(x=r) = nCr * p^{r} * q^{n-r}

n= total number of pens=15

r = number of pen chosen on tuesday = 3

p = probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

q = probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

by slotting in the parameters, we have that

p(x=3) = 15C3 * (\frac{2}{5})^{3} * (\frac{3}{5})^{12}

p(x=3) = 455 * 0.4^{3} * 0.6^{12}

p(x=3) = 455 * 0.064 * 0.002176

p(x=3) = 0.0633

thus probability that 3 of the pens has been used on tuesday. = 0.0633

probability of ball that none of the 3 pen has never being used on tuesday  = 1 - 0.0633 = 0.9337

You might be interested in
Find all the complex square roots of W= 100 (cos 60 + I sin 60). Write the roots in polar form with theta in degrees.
serg [7]

Answer:

2√3+2i

hope it helps

please mark Brainliest

5 0
3 years ago
Someone please help me will give BRAILIEST!!!!!!
Kipish [7]
The answer would be 15
6 0
3 years ago
Read 2 more answers
Simplify the following :
dlinn [17]

Answer:

1. 95/96

2. 27/7

3. -8/245

Explanation:

1. First add together the two fractions 3/4 + 5/6. Find the least common denominator. In this case we can use 12. The 3/4 changes to 9/12 and the 5/6 changes to 10/12. adding these together we get 19/12. Next we divide 8/5 by 19/12. We use the keep, change, flip method to change the divide to multiply. keep the first fraction, change divide into multiply, and then take the reciprocal of the second fraction. You will now do 5/8 x 19/12. We now get 95/96 (I made a mistake in the answers the first time because I was rushing)

2. Divide the 3/2 and the 8/9 first. I will use the KCF (keep, change, flip) method to divide. 3/2 x 9/8 = 27/16  Now we divide the 7/16. After using KCF we can simplify and cross cancel (simplfy after changing the fraction and signs) 27/16 x 16/7 --> 27/1 x 1/7   The answer will come out to be 27/7

3. since there are no parentheses divide first. Use KCF and after you get the answer multiply (it is the same using negative numbers just watch out for signs)

7 0
3 years ago
(9 x 10⁶)(8 x 10⁻⁴)= ?
ycow [4]

Answer: 7.2x10 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is 3(x+4) I need the answer ASAP!!!
Luda [366]

Answer:

3x+12

Step-by-step explanation:

3(x+4)

Use the distributive property to multiply 3 by x+4.

3x+12

4 0
3 years ago
Other questions:
  • A car is traveling 25 miles per hour. How fast is this in feet per minute? (1 mile = 5,280)
    12·2 answers
  • What is that answer
    5·1 answer
  • What is the sum of the given polynomials in standard form? (x2 – 3x) + (–2x2 + 5x – 3)
    7·2 answers
  • What is the best estimate for the answer to 321.786 + 240.273?
    12·1 answer
  • Camryn practices the trumpet every 1 1 th 11 th 11, start superscript, start text, t, h, end text, end superscript day and the f
    10·1 answer
  • Write the number 2,603,094 in expanded form using exponents
    15·2 answers
  • Which of the following equations can be used to solve for acceleration
    8·1 answer
  • What's is the square root of 120
    9·2 answers
  • Please answer (middle school) (probability)
    5·2 answers
  • George makes two transactions today what can be the sum of 78+ (-34) mean in terms of George bank account
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!