Put a lid on it! The supplier is considering two changes to reduce to 1% the

percentage of its large-cup lids that are too small. One strategy is to adjust the

mean diameter of its lids. Another option is to alter the production process,

thereby decreasing the standard deviation of the lid diameters,

a. If the standard deviation remains at o = 0.02 inch, at what value should the

supplier set the mean diameter of its large-cup lids so that only 1% are too

small to fit?

b. If the mean diameter stays at = 3.98 inches, what value of the standard

deviation will result in only 1% of lids that are too small to fit?

c. Which of the two options in parts (a) and (b) do you think is preferable? Justify

your answer. (Be sure to consider the effect of these changes on the percent of

lids that are too large to fit.)

Answers

Answer 1

Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < [tex](\frac{3.95 - u }{0.02})[/tex] ) = P ( Z < -2.3263 ) = 0.01

therefore :

[tex](\frac{3.95 - u }{0.02})[/tex]  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < [tex]( \frac{3.95-3.98 }{std } )[/tex] )  = P ( Z < -2.3263 ) = 0.01

therefore

[tex]( \frac{3.95-3.98 }{std } )[/tex] = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B


Related Questions

What is the first step in solving for the solution to this problem?

2(m + 10) = 4(m -15)

Answers

Answer:

Multiplying the variables and numbers in the parentheses by the number next to them.

Step-by-step explanation:

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?

Answers

Answer:

117.46 sq in

Step-by-step explanation:

The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps

177.46 inch²

hello

would you like to be my friend? ≧ω≦

can i please get your intro?

Myself Ojasvi

Class 8, 13

India

Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?

1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.

PLEASE HELP! <3

Answers

She can spend exactly $100 because she can buy 8 pizzas with a 4 dollar delivery charge

Which list is in order from least to greatest?

Answers

Answer: A

Step-by-step explanation:

Scientific notation exponents are in order from least to greatest and 8.1 > 6

please help please solveit​

Answers

Not 100% sure but I think it’s d

(4x5)3

Using the exponential notion and simplify pls

Answers

Evaluate or simplify?
It would be 8000 I think. I’m sorry if it’s wrong!

What is the value for y in the following expression y=-2x+8 when x=20

Answers

Answer:

y = -32

Step-by-step explanation:

[tex]y=-2x+8\\\\x=20[/tex]

Substitute ; x =20 in given equation

[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]

plug in 20 for x. y=-2(20)+8; y= -32

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer:

12 and 13

Step-by-step explanation:

Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?

Answers

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

https://brainly.com/question/13599569

The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer

 initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 =>  y=0+5 => y=5

The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

c1=5

Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?​

Answers

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

someone help with this ASAP I HAVE FEW MINS !!!

Answers

Answer:

Symmetric

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

what is 1\4 x 2\5 in simplest form

Answers

Answer:

1/10

Step-by-step explanation:

1/4 x 2/5

Multiply the numerators together

2

Multiply the denominators together

20

So it is 2/20

Simplify.

1/10

Hope I helped :)

Please consider Brainliest :)

Answer:

x/10

Step-by-step explanation:

There are 18 girls in mr.brimleys class. If 60 percent of the students are girls how many students are in mr.brimley’s math class?

Answers

Answer:

30 students in the class.

Step-by-step explanation:

There are several which in which we can approach this question:

We can do this question using direct proportion.

"If 18 girls represent 60%, how many students represent 100%?"

18

60

=

x

100

x

=

18

×

100

60

30

students altogether.

5x^2- 20 ÷ y - (8 + 13)

X=4 Y=5

Answers

Answer:

14

Step-by-step explanation:

PHOTO ADDED
NEED URGENT HELP

Answers

Answer:

A

Step-by-step explanation:

help me yo!

A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?

A) 2/5
B) 4/9
C) 1/2
D) 5/9

A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?

A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?

A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9

My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?

A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9

Answers

Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9

Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?

Answers

Answer:

$0.05

Step-by-step explanation:  first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers

Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces

Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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Lewis and his sister both open savings accounts. Each begin with a balance of zero dollars. For every 4 dollars that Lewis saves in his account, his sister saves 9 dollars. If Lewis has 64 dollars in his account, how much money does his sister have?

Answers

Answer:

144 dollars

Step-by-step explanation:

We are told that:

Lewis and his sister both begin with a balance of zero dollars.

Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.

Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.

Therefore his sister saved 9 dollars for 16 times too.

Thus, his sister saved: 16 × 9 = 144 dollars

(4.7 x 107) + (3.4 x 10)

Answers

Answer:

536.9

Step-by-step explanation:

To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?

Group of answer choices

Answers

The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

It is 25 because you divide 100 by 4

8x0.3= pls help now 82 points

Answers

Answer:

2.4 8 times 3 is 24 so 8 times 0.3 is 2.4

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

Multiply. (2/5)(−5/4) Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2×5=10

5×4=20

add "-"

simplest

10÷10=1

20÷10=2

add "-"

Ans: -1/2 ([tex]-\frac{1}{2}[/tex])

Answer:

it is -1/2

Step-by-step explanation:you can trust me i did the quiz.

Solve this question. Show the work.​

Answers

Answer:

1. 36°

2. 36°

3. 54°

Step-by-step explanation:

Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x

Answers

The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

As per the options, we have

f(g(x))=x is expressing f is the inverse of g.

f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.

f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.

Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.

Hence, the correct answer would be an option (D).

Learn more about inverse functions here:

brainly.com/question/2541698

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U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)

Answers

Answer:

The mean is 15 pages a day.

Step-by-step explanation:

105/7=15

Give an example of a real number that is not rational.

Answers

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

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