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
sveta [45]
3 years ago
12

"A shipment has 20 items. Five items will be picked randomly and checked for quality. If at least one item is defective, then th

e shipment is rejected. Given that the shipment has k defective items, what is the probability that it is rejected?"
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

1 - \frac{(20-k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

Step-by-step explanation:

If k items out of 20 total items are defective, then the number of non-defective item is 20 – k. The probability of choosing 5 items where all of them are non-defective is

- For the 1st slot the chance is (20 – k)/20

- For the 2nd slot the chance is (20-k-1)/(20-1) = (19-k)/19

- For the 3rd slot: (18 – k)/18

- 4th : (17 – k)/17

- 5th: (16 – k)/16

The probability in total would be

\frac{(20-k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

So the probability of selecting at least 1 defective item is the inverse of this, which is

1 - \frac{(20- k)(19-k)(18-k)(17-k)(16-k)}{20*19*18*17*16}

You might be interested in
Can someone do the work for me ?
Ipatiy [6.2K]

Answer:

ill try

Step-by-step explanation:

5 0
2 years ago
Need help will give brainlest!!
Evgesh-ka [11]

Answer:

14/20

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the height of the pyramid. Please help ASAP.
LekaFEV [45]
 well L x W x H = 448³ x 12 x 8 = <span>2<span>²³
so your answer is 2²³</span></span>
4 0
3 years ago
Find a linear equation to model this real-world application:
SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

3 0
3 years ago
⅜ of the animals at the zoo equals to 600. 40% of all the animals at the
raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

5 0
2 years ago
Other questions:
  • What is the equation of the line
    9·1 answer
  • 15 POINTS AND BRAINLIEST The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown
    6·2 answers
  • Which equation is the inverse of y = 16x2 + 1?
    14·2 answers
  • How to use sohcahtoa
    8·1 answer
  • Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressio
    12·2 answers
  • Pls2sssssssssssssssssssssss
    13·1 answer
  • Find the slope of the line that passing through the points (5,-2) and (5,8)
    8·1 answer
  • Write this expression as a single number.<br> 3^2+3+3^0+3^-1=
    13·2 answers
  • Please help me on this problem !
    13·1 answer
  • Select the symbol = (equal to) or ≠ (not equal to) to make the expression true. <br> {0} ? { }
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!