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

Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?

Answers

Answer:

I'm pretty sure its the 1st one.

Step-by-step explanation:

Simplify.

8^15÷8^−3

Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53

PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

The simplified form is 8^18

What are Exponents?

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Properties of Exponents

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bm

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ2

Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

Answers

Answer:

28

Step-by-step explanation:    20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars

simplify 7^2 • 7^6 =

Answers

Answer: 7^8

Explanation: just add the exponent if you are multiplying two things with the same base

Distance between two points (−5,−5) and (-9, -2)

Answers

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer:

One solution

Step-by-step explanation:

First, organize the equations by moving y to the left hand side:

5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x

3y = 2x + 9 is already done

Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:

2y=6-5x multiply both sides by 3, 6y = 18-15x

3y=2x+9 multiply both sides by 2, 6y = 4x+18

Substitute y on both sides and we get 18-15x=4x+18

Simplify that and you get 19x=0, x equals 0, so there is one solution

question (e) only please show working as well appreciate it

Answers

Answer:

a. f(2) = 6

b. f(3) + f(-3) = 62

d. 3(x+1)^2 - 5(x+1) + 4

e. This one looks like the secant line equation. Not fully sure.

Step-by-step explanation:

You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.

For the other two , you have use algebra. For d, you replace x with x+1.

2x/5=9/15 what does x equal

Answers

Answer:

2x/5=9/15

2x=9/3

x=1.5

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer:

-1/3x+4

Hope This Helps!!!

Plz help brainiest to the correct answer!

Answers

Answer:

1. x (multiplication)

2. / (division)

3. - (subtraction)

4. - (subtraction)

5. / (division)

Step-by-step explanation:

1. 24 x 3/4= 18

2. 24/-3/4=-32

3. 12- 15= -3

4. 12- (-15)= 12 + 15 = 27

5. -18 / -3/4= 24

#a

[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]

6 A clothing store paid $30 for a jacket, and sold the jacket for $48.
What was the percent increase?

Answers

Answer:

60%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

             

Answer:

60%

Step-by-step explanation:

Total increase in cost = $(48 - 30) = $18

Now,

% increase = Increase/Original amount × 100

=> 18/30 × 100

=> 18/3 × 10

=> 6 × 10

=> 60%

WILL GIVE BRAINLIEST

Answers

Answer:

31). (0,-2), (2,-5).

32). (0,-1), (5,3).

33). (0,1), (5,-2).

34). (0,1), (4,0).

Determine if the relation below is a function.

(-5,1) ; (3,1) ; (5,1) ; (2,1)

Group of answer choices

Yes, this relation is a function.

No. this relation is not a function.

Answers

yes this is a function

solve 4x-y=-5 -2x+3y=10​

Answers

Answer:

(x,y) =(7/2,4)

(x,y) = (9/2,8) thats the answer

Help help help help

Answers

Answer:

  C = 18

Step-by-step explanation:

Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.

  C = 2πr

  C = 2(3)(3) . . . . . using 3 for π, as directed

  C = 18

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Here we've been provided with the information given that radius (r) = 3.

And we have to find the circumference (c) of circle. And we have been provided with the formula i.e C = 2πr.

Placing (π = 3) in the above equation,

[tex]:\implies\tt{c = 2\pi r}[/tex]

[tex]:\implies\tt{c = 2 \times 3 \times 3}[/tex]

[tex]:\implies\tt{c = 6 \times 3}[/tex]

[tex]:\implies\tt{c = 18}[/tex]

The circumference of circle is 18cm.

A rectangle has an area of 35x + 42 square units. If the
width of the rectangle is 7 units, what is the length of the
rectangle?

Answers

Answer:

length = 5x + 6

Step-by-step explanation:

35x + 42 = 7*L    since area of a rectangle is length * width

(35x + 42) divide by 7  =  7L divide by 7

5x +6 = y

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

Answers

Answer:

Blue car

Step-by-step explanation:

Find the miles per gallon rate of each car

Blue car:

44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallon

Red car:

27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallon

According the rates, the blue car could travel the greater distance

Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1. 61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours.

Answers

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

Classify −3x4−x3+4x2+12 by degree.

Answers

Answer:

Fourth degree or quartic

Step-by-step explanation:

As the highest power is 4, it is a quartic.

Write as expression. The sum of 7, a number, and 8.

Answers

Answer:

7 +X  + 8= Y

Step-by-step explanation:

The sum means addition, and "a number" is going to be replaced by X

A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?

Answers

You do NOT have enough cups of sugar for 40 people
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person

0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl

PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?

A. c = 1.25p B. p = 1.25c

C. c = 3.75p D. p = 3.75c

Please answer asap

Answers

Answer:

The answer is A

Step-by-step explanation:

$1.25*3=3.75

easy one for you folks. show work.
who ate more?​

Answers

Answer:

Regan ate more

Step-by-step explanation:

maggie: 5/8 of pizza to start

eats  1/4 of 5/8

1/4 times 5/8 gives 5/32

regan: 7/12 of pizza to start

eats 2/3 of 7/12

2/3 times 7/12 gives 14/36 or 7/18

7/18 > 5/32

Answer: Reagan

Step-by-step explanation: because 2/3 is more than 1/4

loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?

Answers

Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Loria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?

Answers

Answer: 12

Step-by-step explanation:

8/2=4

4x1=4

8+4=12

Answer:

12

Step-by-step explanation:

following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.

8/2 = 4

Need help ASAP! Directions in picture;)

Answers

X=3

Y=5

If both polygons are equal to each other, then you can get these equations:

2x+4=10

3y-3=12

Now you just solve them. Remember, what you do to one side, you have to do to the other. I can explain this more if you want.

No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept

Answers

Answer:

heres a graph

Step-by-step explanation:

Answer: there you go

Step-by-step explanation:

how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x

Answers

this equation is error because of -7and 4y two this is not have + or - that's why

Can u help me with these plss

Answers

Answer: 40BC and 766AD

Step-by-step explanation:

PLEASE HELP! WILL MARK BRAINLIEST!!!

Answers

AnswerAnswers in explaination

Step-by-step explanation

PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.

PART B answer: The two equations I solved for above

Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two

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