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
kati45 [8]
3 years ago
14

A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate

d, what is the probability that exactly 1 of the tested bottles is contaminated?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

Total number of combinations:

C_{22,3} = \frac{22!}{3!(18)!} = 1540

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

C_{5,1}*C_{17,2} = 5*17*8 = 680

What is the probability that exactly 1 of the tested bottles is contaminated?

P = \frac{680}{1540} = 0.4416

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

You might be interested in
Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.
Oduvanchick [21]

we know that

If (x-8) is a factor of the function f(x)=-2x^{3}+17x^{2}-64

then

x=8 is a root of the function f(x)

therefore

For x=8 the value of the function must be zero

Verify

Substitute the value of x=8 in the function

f(8)=-2(8)^{3}+17(8)^{2}-64

f(8)=-2(512)+17(64)-64

f(8)=-1,024+1,088-64

f(8)=-1,088+1,088

f(8)=0

therefore

<u>the answer is</u>

Yes, (x-8) is a factor of the function f(x)

7 0
3 years ago
Read 2 more answers
How to find slope intercept form for perpendicular lines
Helga [31]
To find the slope intercept form of a line perpendicular to a given equation, the first thing you need to do is to find the slope of the perpendicular line. Because lines perpendicular to one another are always have a slope that is the negative reciprocal of them, the slope of the line perpendicular to y=x would be -1 (since the slope of y=x is 1). Then, since the perpendicular line passes through the point (5, -3), you would plug in the values of the x and y into the equation
y=-1x+b to get -3=-1(5)+b.

When you simplify, solve for b to get b=2. Now that you have your slope (m=-1) and your y-intercept (b=2), you can conclude that your perpendicular equation would be y=-x+2.
3 0
3 years ago
WILL MARK BRAINLIEST!!
bija089 [108]

Answer:

3 rd one

Step-by-step explanation:

Please mark me as brainliest, vote 5.0 and thank me to support

3 0
3 years ago
Read 2 more answers
Distributive prperty m(13-2r)
exis [7]

Answer:

13m-26mr boom that's it

Step-by-step explanation:

i think

5 0
3 years ago
Which two are equivalent to 32 divided by 6?
Zarrin [17]
286 and 446 :) hope it helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! Question above
    10·1 answer
  • A parallelogram with the sides of 6 and 10 has a area of 30 square root of 2. Find the measure of each angle of the parallelogra
    15·2 answers
  • a new car has a sticker price of 20950 while the invoice price paid was 18750. what is the dealer markup
    8·2 answers
  • HELP{
    15·2 answers
  • The graph of f(x)=x^2 was transformed to
    10·1 answer
  • If b is the midpoint of ac and ac = 8x-20, find bc
    10·1 answer
  • My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul
    11·1 answer
  • 4. A rectangular field has a perimeter of 300m. What is the area of the field if the length of
    11·1 answer
  • In an arithmetic sequence, if a2= 5 and a10= 19 find a6
    15·1 answer
  • [(x^5)]^7]^4<br><br> simplify the expression
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!