Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t

Answers

Answer 1

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].  

And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite:  [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]

         [tex]= 100 \pm (3.136) \\\\[/tex]

Consequently, if the standard error is  [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill  

[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]


Related Questions

Plisss some one can help me!!!

A project manager estimates that a project will take
x hours to complete, where x > 100. The goal is for
the estimate to be within 10 hours of the time it will
actually take to complete the project. If the manager
meets the goal and it takes y hours to complete the
project, which of the following inequalities
represents the relationship
between the estimated
time and the actual completion time?

Answers

Answer:

x ≥ x/y

Step-by-step explanation:

It somehow varies with variation.

31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?

Answers

Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

Need help right now before 12.00

Answers

Answer:

23) 7b+14

yea I guess the rest remain the same

Which of the following relations is a function? A. (5, 11), (-9, 2), (-1, 8), (-6, 11) B. (11, 5), (2, -9), (8, -1), (11, -6) C. (-1, 11), (-9, 2), (-1, 8), (-9, -6) D. (5, 11), (-9, 2), (-1, 8), (-1, -6)

Answers

Answer:

A

Step-by-step explanation:

It is a function if none of the x-values are the same

find the end point m

Answers

M=(-4;5). Hope this helps

Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.

Answers

Answer:

m = -2 which is the slope

b = 2 which is the intercept of the line.

Step-by-step explanation:

We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line.  We can designate variables to each of these points as shown below

Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]

Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]

[tex](y--7)/(x--9) = -2[/tex]

[tex](y +7)/(x+9) =-2[/tex]

[tex]y +7 = -2(x+9)[/tex]

[tex]y =-2x+2[/tex]

We are given the form:  y=mx+b.

we can compare this with our equation for the line. [tex]y =-2x+2[/tex]

We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.

Greg mixes 10 cans Black paint with 16 cans of white paint to get a gray paint. How many cans of black paint will he need to mix with 96 cans of white paint to get the same gray color?

Answers

Answer:

60 cans

Step-by-step explanation:

96 divided by 16 is 6

10 time 6 is 60

Deandre downloaded 8 apps onto his tablet in 12 seconds. at this rate, how many apps could be downloaded in one minute?

Answers

Answer:

40 apps

Step-by-step explanation:

12 sec ⇒ 8 apps

1 min = 60 sec

therefore, 60 sec ⇒ `60 x 8 / 12 = 40 apps

Pls helpppp meeee‼️‼️‼️‼️‼️‼️‼️

Answers

I think 9,6 is right answer

Answer:

2 yards because 3 is divided by 6

A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?

Answers

Answer:

5 days

Step-by-step explanation:

Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days

Answer:

It will take them five days.

Step-by-step explanation:

So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.

21-7x=7(3-x)
Solve this please!!!!!!!!!!

Answers

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]


Describe the error in the work shown below.
Find an expression equivalent to 18 + 30.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1,2,3,5, 6, 10, 15, 30
18 + 30 = 6(3 + 10)


Pls help fast

Answers

The answer is 18+30= 6(3+5) when you distribute the given one 18+30= 6(3+10) which was wrong, you get 18+60 so u need to replace the 10 with something that will equal 30 when multiplied; which is 5.

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332
people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?

Answers

Answer:

172 kids and 160 adults

Step-by-step explanation:

We can create two equations with the information given.

1.5x + 4y = 898

x + y = 332

We can then bring the x in the second equation over to the other side.

y = 332 - x

We can now plug this equation into the one before.

1.5x + 4(332 - x) = 898

We now do the distributive property on the equation and result with

1.5x + 1328 - 4x = 898

Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.

-2.5x = -430

-430 / 2.5x = 172

x = 172

x is defining how many children when to the park.

Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)

y = 332 - 172

y= 160

We end up with

x = 172

y = 160

172 children and 160 adults

Jean masear is a saw operator in a lumber mill. He works 40 hours a week and earns $630 per week. What is his hourly pay rate

Answers

360/40=15.75 You have to divide 360 in 40

Answer:

[tex]\boxed {\tt \$15.75 \ per \ hour}[/tex]

Step-by-step explanation:

We want to find Jean's hourly pay rate. In other words, his pay per hour.

We can find the pay rate by dividing the money he is paid by the number of hours worked.

[tex]pay \ rate =\frac{money \ paid }{hours}[/tex]

He is paid $630 for 40 hours.

[tex]money \ paid= $630 \\hours= 40\ hours[/tex]

[tex]pay \ rate = \frac{\$630}{40\ hours}[/tex]

Divide.

[tex]pay\ rate = \$15.75 / hour[/tex]

His hourly pay rate is $15.75 per hour.

What is the value of the following(Please show work)
3x- 1 when x=2
2x - 3+4x when x=-1
Y^2- 6y= 9 when y = 4
Please go FAST!!

Answers

Answer:

1) 3( 2) - 1 = 6 - 1 = 5

2) 2(-1) - 3+4(-1) = -2 -7 = -9

3) 4^2-6(4)=9 = 16-24=9, = -8=9

A school bus requires 40 liters of fuel per week. If your school district runs 5,000 school buses, how many liters of fuel will the buses consume in 52 weeks? A. 15 million liters B. 10 million liters C. 10.4 million liters D. 200 million liters

Answers

Answer:

C. 10.4 million liters.

Step-by-step explanation:

1. First, you want to create an equation to help you solve this.  You know that there are 5,000 school buses and they use 40 liters of fuel per week.  So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).

2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x.  So, the expression is 5,000·40(52).

3.  Multiply 40(52) to get 2,080.  Your expression now looks like this: 5,000·2,080

4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.

Hope this helps! :) If you could give me Brainliest that would be super helpful!

can someone please help me out with this?

Answers

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

Between 2000 and 2015 ​, the number of twin births in a certain country increased by 11​%, to approximately128,760 . About how many twin births were there in​ 2000?

Answers

Answer:

116000

Step-by-step explanation:

The number of twins in 2000 is x

the number increases by 11%  to year 2015

x(1+11/100 )=128760

x+0.11x=128760

1.11x=128760

x=128760/1.11

x=116000

Please help!!! I would like an explanation along with your answer. Thanks

Answers

Answer:

(-4, 7)

Step-by-step explanation:

The x and y coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

-1 = (2 + x) / 2

-2 = 2 + x

x = -4

5 = (3 + y) / 2

10 = 3 + y

y = 7

The coordinates of point S are therefore (-4, 7).

The sum of two numbers is 91.one is 37 more than the other.Find the numbers

Answers

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

[tex]x + (x + 37) = 37[/tex]

[tex]2x + 37 = 91[/tex]

[tex]2x = 91 - 37[/tex]

[tex]x = \frac{54}{2} [/tex]

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

Hope it helps....

Find the x-intercept of the graph of the linear equation y = -1/2 x+3.
Help me please!!
Due soon!!

Answers

(6,0) that’s the right answer

Answer:

6

Step-by-step explanation:

got it right

HELP ME!!!!! Solve for X

Answers

Answer:

1. x=6, 2. x=14 3. x= -2, and 4. x=6.5

Step-by-step explanation:

1. 120=20x, x=6.

2. 47=2x+19, x=14

3. 4x+3=2x-1, x= -2

4. 3x+4+7x+11=180, x=6.5

What is the value of the underline digit? 9.521

Answers

Answer: one

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 9 was underlined it would be 9 ones

If it was 5, 5 tenths

If it was 2, 2 hundreths

If it was 1, 1 thousandth

Hope this helps:)

PLS HELP!! ITS URGENT!!! SHOW YOUR WORK PLEASE

Answers

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

2 points he Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area, in square meters, of this face of the building?​

Answers

Answer:

e

Step-by-step explanation:

Simplify 7^8 divided by 7^4

Answers

Answer:

2401 is your answer hope this helps

How many ads had at least 15, but fewer than 30, words?



1234500372308

Answers

Answer:

204

Step-by-step explanation:

I mean logical right lol

2x +y when x= 3, y=1.

Answers

Answer:

I needed help on that question too

i guessing 7 because 2(3)+1. 6+1=7

Sal has 5 balloons. He has 3 red balloons. The rest are blue. Kay has 5 more blue balloons than sal. How many blue balloons does kay have?

Answers

Answer:

Kay has 7 blue balloons

Step-by-step explanation:

if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons

The number of blue balloons does Kay have is 7.

Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of blue balloons does Kay have be x.

Number of blue balloons Sal have = 5-3=2

The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal

⇒ x = 2+5 = 7

Therefore, the number of blue balloons does Kay have is 7.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5

Solve the formula C = πd for d

Answers

Answer:

[tex]d = \frac{C}{\pi}[/tex]

Step-by-step explanation:

[tex]C= \pi d\\[/tex]

Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]

[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]

Simplify

[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]

Note; Another formula for d(diameter) =

[tex]2\times radius[/tex]

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