A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control

Answers

Answer 1

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434


Related Questions

have this done correctly for brainliest​

Answers

4.)y=-2x+7
6.)y=-4x+3
8.)y=3/4x+3/4
10.)y=2x+1
12.)y=16x-12

In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.

Answers

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

=

sin73

2.7

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

≈2.131≈2.1

Mai works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?

Answers

Answer:$94.50

Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.

Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?

Answers

3/8

There is 8 sections of the spinner and 3 are red. No need to simplify

“use synthetic method to find the quotient”

Answers

Answer:

1) [tex]2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}[/tex]

2) [tex]5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}[/tex]

Step-by-step explanation:

ASAP! Help I’ll mark you brainly

Answers

Answer:

y=0.13x^2+13.68x+750

this the function rule

Step-by-step explanation:

brainliest

Answer:

im the other

make sure u give it to tfue_the_god

Step-by-step explanation:

How many thirds are there in 12/3?

Answers

Answer: 4

Step-by-step explanation:

12/3 = 4

Answer:

12

i think..............................

Use scientific notation to find the product of 7.13 × 10 -3 and 40.

Answers

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

What is the slope of a line that is perpendicular to the line y =-1/5

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

Travis has won 9 snowboarding competitions.
He wants to display his trophies on a shelf.
How many different ways could he arrange
the trophies on the shelf?
A. 9
B. 72
C. 81
D. 362,880

Answers

The answer is D, it’s a lot to explain just trust me.

what is another name for <2

Answers

Answer:

two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.

Step-by-step explanation:

Find the unknown angle measure.

Answers

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

The best answer is " The lines are the same "

8x^(2)+3x-18 - 6x3 + 10x2 − x − 3

Answers

Ans = Error

The value of x is unknown Therefore, it cannot be simplified.

Try giving the value of x and I will try again.

The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70​

Answers

Answer:

Y= 17.5

Step-by-step explanation:

140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5

PLZ HELP I WILL MARK BRAINLEST!

Answers

Answer: 16.4cm

Step-by-step explanation: 4cm=20km

82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm

The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

Find the value of x. The diagram is not to scale.

Someone help please!!​

Answers

Answer:

angle T = 114

Step-by-step explanation:

SRT = STR

angle R = angle T

angle R = 33°

so angle R and angle T = 33°

all angles on a triangle = 180°

so

angle R + angle S + angle T = 180°

and angle R and S = 33° so subtitute...

33 + 33 + T = 180

then solve:

66 + T = 180

-66         -66

T = 114

mathy way:

SRT = STR                 Given

SRT = 33                   Given

33 = STR                   Substitution Property of Equality

STR = 33                  

R + S + T = 180°        Deffinition of triangle

33 + 33 + T = 180     Substitution Property of Equality

66 + T = 180             Addition

T = 114                       Subtraction Property of Equality

how many one and one fourths are in four and one half

Answers

Answer:

There is 5 4rth

Step-by-step explanation:

The Triangle Sum Theorem states that the sum of all the angles in a triangle is

Answers

Answer:

180°

Step-by-step explanation:

HELP PLEASE !
10 points !!

What is the slope of the function?

Answers

Answer:

the answer is -4 because the Y values are going down 4 at a time.

(1,6) and (9,14) standard form

Answers

Answer:

(14y+6y)+(9x+1x)

Step-by-step explanation:

Need help i will mark you brainliest

Answers

They are congruent b/c they the sides of the two shapes are equal as well as the angles. Hope that helps !

A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.


What is the value of the n parameter of the binomial random variable X?


Group of answer choices


50


78


39


30


1000

Answers

Answer:

The value of parameter n of binomial random variable is 50.

Step-by-step explanation:

The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.

___ is a term relating to abstract ideas.

Answers

Answer:

conceptual

Step-by-step explanation:

The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the

possible lengths of f?

Answers

Answer:

The possible range of values for F are from 8 to 30

Step-by-step explanation:

Here, we have a triangle DEF and we want to get the possible lengths of the third side

To evaluate the possible lengths of the third side , we need to follow a rule

The rule is that, for the third side, the sum of the two other sides must be greater than it

This means that the length should be less than d + e

Mathematically;

f < d + e

f < 12 + 19

f < 31

So it could be 30

It could also range from 30 to 8

This is because if it is less than 8, then the addition to 12 will be less than or equal to 19

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?

Answers

Answer:

4.5

Step-by-step explanation:

State the x and Y intercepts of the equation y=2/3x - 1/3

Answers

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

Elowen pays a total of $22.50 for every six shirts
she has dry-cleaned.

Answers

$3.75
Step-By-Step Guide
$22.50 has to be divided by 6 to get the answer.

The distance from a point to two is five units. The point could be located at

-7

-6

6

-3

NEXT QUESTION

O ASK FOR HELP

Answers

Answer:

The correct answer is -3

Step-by-step explanation:

attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.

Moving five units from -3 to 2 on a number line is given as follows:

-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2

From the motion expression shown above, moving from -3 to 2 involves moving 5 units.

another way of determining the correct answer is to find the difference in interval between the two points as shown below:

Let the point be x

2 - x = 5 units

2 - 5 = x

∴ x = -3

Answer:

-3

Step-by-step explanation:

it was on quiz baby

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