Question Help When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 3000 ​batteries, and 3​% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?

Answers

Answer 1

Answer:

The probability is [tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  [tex]p =  0.03[/tex]

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     [tex]P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)][/tex]

=>   [tex]P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> [tex]P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]

=> [tex]P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]][/tex]

=>[tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

 


Related Questions

Help me find this answer please (honest and most best answers only)

Answers

The baby whale would be 35 years old.

[tex]7*10^3[/tex] in standard notation is 7000

To find the whales age, you must divide 7000 by 200, which is 35.

The members of Ms. Wilson’s quiz bowl team earned the scores listed below in the past 6 competitions they attended. 82, 76, 94, 71, 68, 89 Which measure BEST summarizes all of the team’s scores? mean mode range variance

Answers

Answer:

Variance is the measure best summarizes all of the team’s scores

Step-by-step explanation:

The members of Ms. Wilson’s quiz bowl team earned the scores listed below in the past 6 competitions they attended:

82, 76, 94, 71, 68, 89

Mean = The mean is the average of the numbers

Mode=The number which appears most often in a set of numbers.

Range : Range is the difference between the lowest and highest values.

Variance :A measure of how spread out numbers are

So, By definitions we can say that Variance is the measure best summarizes all of the team’s scores

I need a scale drawing of a house,2 inches:5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?

Answers

Answer:

8.5

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

-1.5

Step-by-step explanation:



The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. Simplify the complex

fraction below to find the average rate at which the water level changed every week.

Answers

Given that,

The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,

[tex]R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}[/tex]

So, the average rate at which the water level changed every week is 1/2 inches/week.

The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?

Answers

Hi I’m Abbi, pls brainiest me! The answer is loose yards and -3 hope this helps :)

Answer:

вы молодец и увас всё получилось

10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48

Answers

maybe try quizzlet that would really help i swear

James has 851 feet of rope. There are 14 teams of hikers. If James gives an equal amount of rope to each team how much rope will each team receive

Answers

Answer:

60 is your answer :)

Step-by-step explanation:

hope this helps :)

I thought of a number, then divided it by another number, and got a result of a 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?

Answers

Answer:

Possibilities are endless. It's impossible to divide by 0.

Your number can't be 0.

Step-by-step explanation:

^^^

Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5

Answers

First= -2x+2y+3z=0

= -2x+2y+3z +-2y=0+(-2y)

-2x+3z=-2y

-2x+3z=-2y+-3z

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations

which numerical pattern in nonlinear?
A. 3, 11, 19, 27,
B. 1, 3, 9, 27
C. 1, 4, 7, 10,
D. 2, 3, 4, 5

Answers

Answer:

I am going with B.1,3,9,27

Step-by-step explanation:

A,C and D the patterns are from addition ie. A +8, C+3 and D +1 but B it's ×3

A product's demand per period follows a normal distribution with mean of 60 and standard deviation of 10. The lead time is 3 periods. What order-up-to level should be used to achieve at least a 90% in-stock probability?

Answers

Answer:

209

Step-by-step explanation:

Since the lead time is 2 periods at the time of order, the stocks should last for 3 periods with the 90% probability.

The z-value of 90$ in stock probability = 1.7

Mean of the demand over is (1 + 1 + 1 )  or (2+1 which is 3)

                                                           = 60 x 3 = 180

Now the standard deviation of demand over the three periods = 17.3

Therefore, the order up level would be  = 180 + ( 1.7 x 17.3 )

                                                                   = 209

Write the solution set of the given homogeneous system in parametric vector form. 0 where the solution set is x

Answers

Answer:

[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]

X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]

Step-by-step explanation:

Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.

I'm a little confused.

(2y+14.6+3.8)-(34.8m+15.6+2y)

Answers

Answer:

5.6

Step-by-step explanation:

You most likely will end up putting it in slope form y=mx+b

(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms

(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m

2y-2y= 0

18.4 - 15.6= 2.8

34.8m -0 = 34.8m

2.8 + 34.8m ( I think we should further simplify)

so minus 2.8 on both sides

34.8m = -2.8(divide by 34.8 on both sides)

m = -7/87

Plug in

(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms

(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms

(18.4)-(12.8)= 5.6

2y-2y = 0

34.8(-7/87)= -2.8

18.4 - 12.8 = 5.6

9. A car is traveling in a straight line path at a maximum speed of 7.00 m/s. The
driver of the vehicle applies the brakes bringing the car to a stop after traveling
10.0 m. What is the magnitude of the car's acceleration to the nearest
hundredths place?

Answers

Answer:

30mph

Step-by-step explanation:

The magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex] and this can be determined by using the equation of kinematics.

Given :

A car is traveling in a straight-line path at a maximum speed of 7.00 m/s.The  driver of the vehicle applies the brakes bringing the car to a stop after traveling  10.0 m.

According to the kinematics:

[tex]\rm v = u + at[/tex]     --- (1)

where v is the final speed, u is the initial speed, a is the acceleration and t is time.

Now, put the known terms in equation (1).

0 = 7 + at

at = -7  

[tex]\rm t = -\dfrac{7}{a}[/tex]      --- (2)

From the kinematics the displacement is given by the equation:

[tex]\rm S =ut+\dfrac{1}{2}at^2[/tex]

Now, put the values of u, S, and t in the above equation.

[tex]10=7\times \dfrac{-7}{a}+\dfrac{1}{2}\times a \times \dfrac{49}{a^2}[/tex]

Now, simplify the above equation.

[tex]10=-\dfrac{49}{a}+\dfrac{49}{2a}[/tex]

20a = -49

a = -2.45

So, the magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex].

For more information, refer to the link given below:

https://brainly.com/question/7590385

Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.


What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.

Answers

Answer:

The least number of spoons = 11 spoons

The least number of forks = 6 forks

Step-by-step explanation:

We are told in the question:

Spoons only come in bags of 12

Forks only come in bags of 22.

This is an LCM question, hence, we find the Multiples of 12 and 22

The first common multiple is found and this is the lowest common multiple.

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176

Therefore,

LCM(12, 22) = 132

The least number of supplies she can have is 132.

So therefore,

The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons

The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

At a sale this week, a suit is being sold for $306 . This is a 15% discount from the original price.
What is the original price?

Answers

Answer:

260.1

Step-by-step explanation:15% of 306=45.9

306-45.9=260.1

Answer:

351.9

Step-by-step explanation:

x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.

I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.

Then I added the price it was sold..=306+45.9=351.9

please help 25 point asap​

Answers

Answer:

B

Step-by-step explanation:

Answer:

b) B,A,C

Step-by-step explanation:

I need help with a math problem comment if u want i really need help with this

Answers

What is the math problem? I’ll try to answer it

The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.

Answers

Answer:

the anwer is 5*6

ill give brainiest bros

Answers

how are we supposed to make a line plot

Answer:

Pic Below

Step-by-step explanation:

Hope this helps! <3

6th grade math teehehheeheeheheheheehe​

Answers

Answer:

i think it's the second one

Step-by-step explanation:

i am not sure if it is correct or not. i hope it helps!

It’s the second one ........

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.


csc(theta)= 4.1191

Answers

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]

A line that divides a circle into two equal halves is the?

Answers

Answer:

A bisector  or angle

Step-by-step explanation:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Polynomial A: 4z + 724 - 7y+7
Polynomial B: 2.c + 12y - 12z - 7
What will be the coefficients for x, y, and z in the resulting sum?
Select all that apply.
-8
-5
-5
2
5
9
Asse
16
Sect
GO BACK
SUBMIT AND CONTINUE
284691-1307

Answers

Answer:

-8z +724 + 5y +2c

Step-by-step explanation:

Combine like terms

In 1-3, match each description with the correct graph. Not all graphs will be used.



1.

My graph is non-proportional with a negative y-intercept.

2.

My graph is proportional with a negative slope.

3.
My graph is non-proportional with a positive slope

Answers

Answer:

1. d

2. b

3. a

Step-by-step explanation:

1. d => "my graph is non-proportional with a negative y-intercept."

Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.

2. b => "My graph is proportional with a negative slope."

Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.

3. a => "My graph is non-proportional with a positive slope".

Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.

Find the total amount of water that will leak in the first 24 hours if the leak is not fixed. Use the formula sn=a1-rn1-r and round to the nearest whole milliliter.

77+(1/2)^n-1

Answers

whats the formula?

Step-by-step explanation:

Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?

Answers

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

1 2/3 multiplied by -3 1/2

Answers

Answer: -5 5/6

Step-by-step explanation:

Convert each number into. 1 2/3 = 5/3 (1=3/3, so 3/3 + 2/3) and -3 1/2 = - 7/2

Then multiply the numbers

5/3 x -7/2 = -35/6 (5x7= 35 and 3x2= 6, negative because a negative times a positive is a negative)

Then simplify....6 goes into 35 5 times with 5 remaining, so -35/6 = -5 5/6

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