With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected

Answers

Answer 1

Answer:

[tex]P = 0.1447[/tex]

Step-by-step explanation:

Given

[tex]n = 7000[/tex] -- total

[tex]d = 180[/tex] --- defective

[tex]r = 6[/tex] --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]

[tex]Pr = 0.8553[/tex]

Using the complement rule, the probability that the batch will be rejected is:

[tex]P = 1 - 0.8553[/tex]

[tex]P = 0.1447[/tex]


Related Questions

I am not sure. Is this right?

Answers

Answer:

14.4

Step-by-step explanation:

since the longest side is 24,find the shortest side

√20^2-12^2

√400-144

√256

=16

which means the other shortest side is 24-16

which is 8

then you have to use the 12 and 8 to find the unknown side

√12^2+8^2

144+64

√208

14.4

I hope this helps

Factor the polynomial

Answers

Answer:

(x+8)(x+7)

Step-by-step explanation:

Find two numbers that add to

b

and mulitply to

a*c

so find two numbers that add to

15

and mulitply to

56

Those two numbers are 8 and 7

therefore the answer is

(x+8)(x+7)

(X + 7) (x + 8). You just take the multiples of 56 that equal 15

HELP ASAP
THANK YOU!!!

Answers

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Phythagorean theorem help me plsss

Answers

Answer:

5

Step-by-step explanation:

We know that a^2+b^2=c^2 from the Pythagorean theorem   where a and b are the legs and c is the hypotenuse

4^2+3^2 = c^2

16+9 = c^2

25 = c^2

Taking the square root of each side

sqrt(25) = sqrt(c^2)

5 =c

Answer:

d = 5 m

Step-by-step explanation:

The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h

Using Pythagoras' identity in one of the right triangles, then

d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

d = [tex]\sqrt{25}[/tex] = 5

√25x+75 +3√x-2 =2+4√x-3 +√9x-18

Answers

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                 [tex]\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]

THIS IS TIMED! Find the equation of the graphed line.

On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7


Hey can anyone help with this question?

Answers

It's approx. 8.2462... So rounding to the nearest tenth, it will be 8.2 :)

Answer:

Step-by-step explanation:

When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2

Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a

Answers

Answer:

cos a = 12/13

tan a = 5/12

You use these properties to solve the question,

sin²a+cos²a=1

tana=sina/cosa

The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?

Answers

Answer:

P=2(74)+2(5)

148+10=158

PLEASE HELP!!
BRAINLYEST TOO 1st

Answers

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

Any table with no repeated x-values is a relation that is a function.

Will Give Brainliest!

Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

35r - 21 < -35r + 19

Answers

Answer:

r < 4/7

Step-by-step explanation:

35r - 21 < -35r + 19

35r + 35r < 19 + 21

70r < 40

r < 4/7

Answer:

r < 4/7

Step-by-step explanation:

can someone help me pls

Answers

it's easy look at the example for reference

Divide 360 between Kunal and Mohit in the ratio of 7:8​

Answers

Answer:

K = 168 M = 192

Step-by-step explanation:

7:8 = 15

?:? = 360

Divide

360 / 15 = 24

Multiply

24 × 7 = 168

24 × 8 = 192

168:192 = 360

So, Kunal gets $168 and Mohit gets $192.

Step-by-step explanation:

Let the common ratio = x

Kunal = 7x

Mohit = 8x

Total value = 360

we know,

7x + 8x = 360

15x = 360

x = 360÷15

x = 24

so,

Kunal = 7x = 7×24=168

Mohit = 8x = 8×24=192

using trig to solve for missing angles

Answers

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

Nêu định nghĩa số hữu tỉ? Nêu quy tắc cộng, trừ, nhân ,chia số hữu tỉ?

Answers

số hữu tỉ là các số x có thể biểu diễn dưới dạng phân số [tex]\frac{a}{b}[/tex]  trong đó a và b là các số nguyên với b {\displaystyle \neq }\neq  0.[1] Tập hợp số hữu tỉ ký hiệu là {\displaystyle \mathbb {Q} }{\displaystyle \mathbb {Q} }.[2]

Step-by-step explanat

ion:

Answer:

Step-by-step explanation:

Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8) ​

Answers

Answer:

[tex](x + 8)(x - 3)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 5x - 24[/tex]

[tex] {x}^{2} + 8x - 3x - 24[/tex]

Factor by grouping

[tex](x + 8)(x - 3)[/tex]

SOMEONE HELP ME PLEASE

Answers

Answer:

Step-by-step on:ơ

which function defines the sequence 5,8,11

Answers

Answer:

adding 3 to each number.

Step-by-step explanation:

How many solutions are there to the equations: x+2y=-2 y=1/2x-5

Answers

Answer:

Step-by-step explanation:

x+2y=-2

2y=-x-2

y=-x/2-2/2

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

y=1/2x-5-----(2)

(1)=(2)

-x/2=1/2x-5

-x=x-10

-2x=-10

x=5

substitute in 2

         y=(1/2)*5-5

           =5/2-5

          =-2.5

Find the length of BC⎯⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

≅ 53.679

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(54) = BC / 39

1.37638... = BC / 39

BC = 1.37638... x 39

= 53.67889...

Answer this plz hurry will mark the brainiest!

Answers

Answer:

17.138

Step-by-step explanation:

area of segment = area of minor sector of the circle -area of triangle TSR

NOTE : AM using area of triangle as

1/2absinC

(48/360 ×22/7 ×19 ) - (1/2 × 19 ×19 × sin 48)

= 151.276 - 134.134

= 17.138

Find the sun of the interior angles for each polygon

Answers

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y

(b)
That value of y when x=5

(c)
The value of x when y=12

Please help me answer my hw, thank you!

Answers

Answer:

A) 3

B)60

C)4

Step-by-step explanation:

y = kx

36 = 12k

A)k=3

~~~~~~~~~~

b) 60

12*5

c) 4  

12/3

Solve, using the substitution method.

y = 3x + 5
4x – y = 5


10, 35)



(15, 10)



There are an infinite number of solutions.



There is no solution.

Answers

Answer:

the answer is (10,35)

Step-by-step explanation:

i took the quiz and im 100% sure

ty have a great day :)

Given m
11
n, find the value of x.
N
820
20
Answer: =
Submit Answer

CAN SOMEONE PLS HELP I keep getting it wrong

Answers

Answer:

x = 98

Step-by-step explanation:

x and 82 are adjacent angles on a straight line and sum to 180° , then

x + 82 = 180 ( subtract 82 from both sides )

x = 98

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green 30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?

Answers

Answer:

30 green jolos

Step-by-step explanation:

in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".

There are green Jolos are there in Balan's colony are 30 green jolos.

We have given that,

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.

Balan, who lives on this planet, does a survey and finds that her colony of 140.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total

            Green      Purple    

               30              45        

Total          75             140          

In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.

Therefore there are green Jolos are there in Balan's colony are 30 green jolos.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X

Answers

Answer:

A reflection of the point across the line y = -x

Step-by-step explanation:

General rule for reflection across line  y = -x is

(a,b) -------> (-b , -a)

Find the lowest common multiple (LCM) of 28 and 35.​

Answers

Step-by-step explanation: I would first create a factor tree for these numbers and break them down into their prime factorization.

First, 28 is 7 x 4 and 4 is 2 x 2

Next, 35 is 7 x 5

In our factors tree, a 7 is a factor that is shared so we pull out a 7.

Now, we multiply all of our factors that don't pair up

and in this case, that's a 2, another 2, and a 5.

So our LCM is 7 x 2 x 2 x 5 or 140.

140

the lcm of two non-zero integers ×(28) and y(35) ,is the smallest posetive integer m(140) that is divisibleby both ×(28)and y(35) Without any remainder

using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Answers

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Which inequality is not true?

- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
-7/8 < - 1/4

Answers

Answer:

b -7/8 > -0.50

Step-by-step explanation:

is your answer

Answer:

- 7/8 > -0.50

Step-by-step explanation:

-7/8 =-.875

Change to get decimals with decimals or fractions to have a common denominator

-.875 < -0.60  true

-.875 > -0.50  false

-14/16 > - 15/16 true

-7/8 < - 2/8true

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