Question Help

5.2.36-T

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 41 batteries and determine whether each is within specifications. The entire shipment is

accepted if at most 3 batteries do not meet specifications. A shipment contains 7000 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?

The probability that this whole shipment will be accepted is 0.9660

(Round to four decimal places as needed)

The company will accept 96.6 % of the shipments and will reject 34% of the shipments, so almost all of the shipments will be accepted

(Round to two decimal places as needed.)

Answers

Answer 1

Answer:

Probability that the whole shipment will be accepted = 0.9660

96.60% of the shipment will be accepted

Almost all the shipments will be accepted

Step-by-step explanation:

We are given;

n = 41

p = 3% = 0.03

x = 3

This is a binomial probability question and we will use the formula;

P(X = x) = [n!/(x!(n - x)!)] × p^(x) × (1 - p)^(n - x)

The probability that the whole shipment will be accepted is given by the form;

P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(3) = [41!/(3!(41 - 3)!)] × 0.03³ × (1 - 0.03)^(41 - 3)

P(3) = 0.09046

P(2) = [41!/(2!(41 - 2)!)] × 0.03² × (1 - 0.03)^(41 - 2)

P(2) = 0.22496

P(1) = [41!/(1!(41 - 1)!)] × 0.03¹ × (1 - 0.03)^(41 - 1)

P(1) = 0.36373

P(0) = [41!/(1!(41 - 0)!)] × 0.03^(0) × (1 - 0.03)^(41 - 0)

P(0) = 0.28684

Thus;

P(X ≤ 3) = 0.28684 + 0.36373 + 0.22496 + 0.09046

P(X ≤ 3) = 0.96599 ≈ 0.9660

It means that 96.60% will be accepted


Related Questions

Use compatible numbers to solve the problem 564 ÷ 71
A. 497 ÷ 71 = 7
B. 560 ÷ 80 = 7
C. 560 = 70 = 8
D. 540 - 60 = 9​

Answers

Answer:

I think its D

Step-by-step explanation:

because 564÷71 is 7.9 and if u round that you will get 8

Help please. I'll give the Brainliest.

Answers

Answer:

Options 1,2,3 are correct statements

The first values in an ordered pair ( the coordinates) are the domain : ( -3,-2,-1,0,1)

The second values are the range : (-1,1,2,3,4,5)

One input should have only one output for a function.

But -1 input has 2 outputs: -1 and 3.

Thus, it is a relation and not a function.

Hope it helps :)

Mark it Brainliest pls:)

Answer:

When going down, 19 is the answer. When going up, 20 is the answer.

10* (For the first number)

Step-by-step explanation:

What is the value of the 8 in the number 24.387.Give your answer as a fraction

Answers

Answer:8/100

Step-by-step explanation:

Answer:

Be more specific next time, please. If you are asking what percent 8 is of 24.387, the answer is 33.333333333333% or 3/8.

On a map, two cities are 5 3/4 inches apart. The scale of the map is 1/2 inches =3 miles. What is the actual distance between the towns?

Answers

Answer:

34.5 miles.

Step-by-step explanation:

1 11
2 19
What is the equation of the line passing through the points 20 and 3 12 in slope-intercept form?
?
2)
3
3 1
Oy-3
-
-
PLS HURRY AND ANSWER I HAVE 10 minutes left

Answers

The answer is y = 12x - 24

Use the form y = mx + b

If the points are (2, 0) and (3, 12) the slope is 12 which gives us m.

Since every time you go backwards once it goes down 12, (1, -12) is a point and then (0, -24) is a point that shows us the y-intercept which gives us b.

How do you rotate 180 degrees counterclockwise

Answers

Answer:

You do the hokie pokie and you turn yourself around, thats what its all about, but while doing that, turn to the left instead of the right LOL. Have a great day! -Conner

Step-by-step explanation:

Which represents where f(x) = g(x)?

Answers

Answer:

The second one.

Step-by-step explanation:

Both intercept twice at 0 and -4.

What is the discriminant of the quadratic equation 7x2 + x + 8 = 0?

Answers

Answer:

22+ 1x=

Step-by-step explanation:

hello

Question 5 (5 points)
(07.02)
Simplify (3x - 5) - (5x + 1). (1 point)
a
-2x + 6
b
-2x - 6
C с
2x - 6
Od
2x + 6

Answers

Answer:

B. -2x-6

Step-by-step explanation:

First distribute the minus sign (remember that the "-" is actually a "-1")

3x-5+-5x-1

Now group like terms

3x-5x-5-1

And solve

-2x-6

Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your answer.

Answers

Answer:

he is incorrect

Step-by-step explanation:

He is incorrect because 10 times 3 is 30, plus-minus 2 which is 30. So instead of 34, it is 30. or you can say Anthony is wrong. Following the order of operations, you would do the 10*3 first. Then, you would take the 30, and finish the equation from left to right. So you would add 2 to make it 32 and then subtract 2 to make it 30 again. So your final answer is 30, not 34. So Anthony is wrong.

3(m + 4)
Simplify the expression

Answers

Answer:

( − 3 m ) − 4

should be the answer , hope i helped  

Rewrite the expression using the negative exponent rule  

Simplify the denominator.

Answer:

3m+4

Step-by-step explanation:

3(m+4)

mutliply 3 with m and 4 known as the distributive property

you get: 3m+4

POLY ≅ SIDE

A. List four pairs of congruent sides.
B. List four pairs of congruent angles

Answers

The answer would be A because they are talking about sides

which could be the side lengths of a right triangle?

Answers

Answer:

B

Step-by-step explanation:

90+45+45=180

All triangles equal 180.

Its B because if one angle is 90° then the other angles will equal each other. It cant be 60° and 30° because they dont equal, so your final answer is B.

Hope this Helps!!! :)

can someone help me​

Answers

Ok so sense y=x-1 just put that in the other equation and solve for x. And then once you get x plug x into y=x-1

So
1.) 2x-3(x-1)=-1. Solve for X

2.) Once you have x plug it into the equation y=x-1 and then you’ll have x and y

The side lengths of the rectangle are reduced by a scale factor of 1/4. (The side lengths are 16 and 36in) What is the area of the new rectangle?

Answers

Answer:

36 i think

Step-by-step explanation:

16 divided by 4 is 4

36 divided by 4 is 9

4*9=36

Answer:

324 square inches

Step-by-step explanation:

1/4 of 16 = 4

16-4 = 12

1/4 of 36 = 9

36-9 = 27

A= l*w

A= 27 x 12

A= 324 square inches

may be helpful to your discussion.

7. Here's how Mo solved the subtraction problem

635 - 813:

635

- 813

- 222

Mo did this by working from right to left, saying

5 – 3 = 2

3 - 1 = 2

6 - 8 = -2

a. Is Mo's answer right?

b. Solve

6(100) + 3(10) + 5(1)

- [8(100) + 1(10) + 3(1)]

by working with expanded forms. Discuss how

Mo's work compares with your work in expanded

forms.

Answers

Answer:

Mo's answer is wrong.

635 - 813

= -178

Step-by-step explanation:

a. Is Mo's answer right?

No, Mo's answer is incorrect

Mo did this by working from right to left, Just like Subtraction

• 3 - 5 =

We that 1 from the number in tens , add that to 3, making it 13

13 - 5 = 8

• 1 - 3 = 7

The one above becomes 0, because 1 was taken from it. We add 1 to 0, making it 10

10 - 3 = 7

• 8 - 6 = 1

The 8 above reduces to 7 because 1 has been taken from 8.

Hence: 7 - 6 = 1

635 - 813

= -178

The answer is minus 178 because, we are subtracting the bigger number form the smaller number.

b. Solve

6(100) + 3(10) + 5(1)

- [8(100) + 1(10) + 3(1)]

by working with expanded forms. Discuss how Mo's work compares with your work in expanded forms.

= -1(100) + 7(10) + 8(1)

Find the slope of a line perpendicular to each given line.
1) y = 1/2x - 2
2) y = 2x + 2

Answers

Answer:

It's 1. Have a nice day! :)

Step-by-step explanation:

Two times a number plus six equals 16.

Answers

Answer:

5

Step-by-step explanation:

2*(5)=10+6=16

Answer:

I'm guessing you want the value of "a number" which is 5

Step-by-step explanation:

subtract 6 from 16 and you get 10

2 x 5 = 10

The number is 5

Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2

Answers

Answer:

 point slope form: y - y1 = m(x - x1)

m = slope, (x1, y1) is a point on the line

 

y - (-9) = 2(x - 1)

 

y + 9 = 2(x-1)

Step-by-step explanation:

please help!!! finacial lit! will give brainliest:))
Which of the following creates deadweight loss? Choose all that apply.
1. producer surplus
2. price floor
3. price ceiling
4. consumer surplus
5. taxes

Answers

Answer:

Step-by-step explanation:

proucer surplus

I’m pretty sure it’s Price ceilings, Price floors and taxes

8 taps can fill a tank in 27 min with the same rate of flow. If 3 taps go out of order how long will the remaining taps take to fill the tank​

Answers

Answer:

pls 5 star

Step-by-step explanation:

8 taps can fill a tank in 27 minutes.

So,  

1 tap can fill the same tank in time = 27 × 8 = 218 minutes

Therefore, 6 remaining taps can fill the same tank = 216/6

= 36 minutes  

The remaining 6 taps will take 36 minutes to fill the same tank.

Find 18% of $25. Please i need help

Answers

Answer:

4.50 i think

Step-by-step explanation:

a product that normally costs $25 with a 18 percent discount will cost you $20.50, and you saved $4.50. You can also calculate how much you save by simply moving the period in 18.00 percent two spaces to the left, and then multiply the result by $25 as follows: $25 x . 18 = $4.50 savings.

Answer:

4.5

Step-by-step explanation:

you multiply 18 and 25 to get an answer of 450 then divided it by 100 to get 4.50

What is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50, 60

Answers

nothing. sorry I can't answer

Answer:

37.5

Step-by-step explanation:

Estimate the quotient using compatible numbers.

2,316 ÷ 6 = _____

3,000
4,000
400
300

Answers

I'm gonna say 400 because

2,316/6=386 which is closest to 400
the answer has to be 400

i need help with this i am really bad at math

Answers

Answer:

You subtracted 25 from both sides.

Step-by-step explanation:

To move one part of the equation to the other side, you need to do the opposite. 25 is already negative(or being subtracted) so you need to add it to both sides to cancel it out on the left.

10x=-75+25

10x=-50

then divide both sides by 10

x=-5

Anna is really involved in after school activities and is a part of the Drama club, as well as the Junior Optimist club. Every three days, there is a Drama club meeting, and every 8th day, she has Junior Optimist club meeting. Today she is scheduled to attend both meetings. How many days will it be until she will have both meetings on the same day again?

Answers

Answer:

The next time she will have both meetings on the same day again is 24 days time

Step-by-step explanation:

The given information are;

The frequency of the Junior Optimist club meeting = Every 3 days

The frequency of the Drama club meeting = Every 8th day

The club meeting Anna will attend today = Both meetings

The next time she will have both meetings on the same day again is given as follows;

The next time she will have both meetings on the same day again = The number of days the complete cycles of both meetings will coincide = The product of the cycles of both meetings

The next time she will have both meetings on the same day again = 8 × 3 = 24 days

The next time she will have both meetings on the same day again = 24 days time.

- Hector can throw a ball 50 feet
. Lee can throw the same ball 48 feet. How much farther can Hector
throw the ball than Lee:
A. 2-
15
B. 2
C.
D.

Answers

Answer:

2

Step-by-step explanation:

hector(50)- lee(48)

2

Answer:

1 ball = 5o feet

same ball=48 feet

hactor=50-48=2

(b)=2

Which statement is true? Use the number line to help.

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

–2 is greater than Negative 2 and one-half.
1.5 is less than 1
1 is less than Negative one-half.
Negative 1 and one-half is greater than Negative one-half

Answers

-2 is greater than negative 2 and one-half

Answer

The answer is c

Step-by-step explanation:

This is true because I took the test and got this answer correct. :) You are welcome. :)

Help me solve this problem please

Answers

Answer:

×<-1

Step-by-step explanation:

if I'm not wrong you are sloving for x right?

Answer:

(- ∞, - 1 )

Step-by-step explanation:

Given

4(x + 2) < - [tex]\frac{1}{2}[/tex] (4x - 4) ← distribute parenthesis on both sides )

4x + 8 < - 2x + 2 ( add 2x to both sides )

6x + 8 < 2 ( subtract 8 from 2 )

6x < - 6 ( divide both sides by 6 )

x < - 1

x ∈ (- ∞, - 1 ) ← in interval notation

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost to cultivate wheat is $25 per acre. The Mulders have $18,000 available to cultivate these crops. How many acres each crop should the Mulders plant

Answers

Answer: Corn = 200 acres

Wheat= 400 acres

Step-by-step explanation:

Let the number of acres of corn = c

Let the number of acres of wheat = w

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:

c + w = 600

c = 600 - w

Cultivation cost equals:

= 40c + 25w = 18000

Since c = 600 - w, we slot it into the equation

40c + 25w = 18000

40(600 - w) + 25w = 18000

24000 - 40w + 25w = 18000

Collect like terms

24000 - 18000 = 40w - 25w

6000 = 15w

w = 6000/15

w= 400

400 acres of wheat will be planted

Since c + w = 600

c = 600 - 400

c = 200

200 acres of corn should be planted

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