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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}

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4.
avanturin [10]

Answer:

A.) x / 3 = 12      ----> x = 12(3)   ----><em> </em><em>x = 36</em>

B.) 2x + 3 = 20  ----> 2x = 17 ----> x = 17/2

C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2

D.) -4x = -24 ----> x = -24/-4 ----> x = 6

E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9

F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8

4 0
3 years ago
Jill makes purses and backpacks. To make each purse,she uses 1foot less than half the amount of fabric she uses to make a backpa
nikklg [1K]

Answer:

Step-by-step explanation:

Jill makes purses and backpacks.

Let x represent the number of foot of fabric required to make a purse.

Let y represent the number of foot of fabric required to make a backpack.

To make each purse,she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that

x = (y/2) - 1

Therefore, the amount of fabric that Jill needs to make backpack will be

y/2 = x-1

y = 2(x-1) = 2x - 2

The number of feet of fabric that she will use to make a purse is

x = (y/2) - 1

4 0
3 years ago
Suppose j varies jointly with g and v, j=1 when g=6 and v=3. Find j when g=8 and v=11
Lady bird [3.3K]

j=4.88 when g=8 and v=11

Further explanation:

When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.

Variation is always accompanied by a variation constant.

<u>Given</u>

g and v vary directly with j

IT can be written as:

j∝gv

Putting the variation constant k

j = kgv

Putting g = 6 and v=3

j = kgv\\1 = k * 6 * 3\\1 = 18k\\k = \frac{1}{18}

So the value of k is 1/18 which makes the equation

j = \frac{1}{18}gv\\ Putting\ g=8\ and\ v=11\\j = \frac{1}{18} * 8 * 11\\j = \frac{88}{18}\\ j =4.88

So, j=4.88 when g=8 and v=11

Keywords: Variation, Direct Variation

Learn more about variation at:

  • brainly.com/question/11258952
  • brainly.com/question/1284310

#LearnwithBrainly

8 0
3 years ago
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (1 through 52). The orde
miv72 [106K]

Answer:

The answer is 20,358,520

Step-by-step explanation:

Selecting 6 numbers from a collection of 52 numbers regardless of order involves a combination.

Note: if regards was taken into order of selection, this would be a permutation.

Hence, the different 6 number selections out of 52 is

52C6 = 52! / [6!*(52-6)!]

= 52!/(6!*46!)

= 20,358,520

7 0
3 years ago
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x) 2. If we multiply a polynomial b
DIA [1.3K]

Answer:

1. k=0

2. yes, result is still a polynomial.

3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)

Step-by-step explanation:

1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

for k=0 any polynomial f(x) will reduce f(k) to the constant term.

2. If we multiply a polynomial by a constant, is the result a polynomial?

Yes, If we multiply a polynomial by a constant, the result is always a polynomial.

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

Yes.  

If

deg(f+g) < deg(f) and

deg(f+g) < deg(g)

then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.

5 0
3 years ago
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