A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected

from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is

A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797

b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected

from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?

I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.

II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.

III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.

IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.

A) I only

B) III only

C)I and III.

D) II and III

E) I and IV

Answers

Answer 1

Answer: a. B) 1.432

              b. E) I and IV

Step-by-step explanation:

a. Margin of error to construct a 99% confidence interval is calculated as

[tex]ME=t.\frac{s}{\sqrt{n}}[/tex]

where

t is the critical value expressed as t-score, which comes from t-distribution;

s is sample standard deviation

n is sample size

In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.

The way to find t-score is:

1) Define the degree of freedom, which is sample size minus 1: df = n - 1;

2) Compute alpha: [tex]\alpha=1-\frac{confidence}{100}[/tex];

3) Find the critical probability: [tex]p=1-\frac{\alpha}{2}[/tex]

With the df and critical probability, consulte the t-distribution table and find the score.

For the cheese filling:

df = 24

p = 0.995

t-score = 2.797

Calculating margin of error:

[tex]ME=2.797.\frac{2.56}{\sqrt{5}}[/tex]

ME = 1.432

The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.

b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.


Related Questions

Together teammates Pedro and Ricky got 2671 base hits last season Pedro had 275 more hits Ricky hits did each player have

Answers

Not sure if this is right but yeah

Find the slope of the line that passes through (3, -1) and (4, 7)

Answers

The slope is 4 or 8/2

Answer:

Written in slope-intercept form.

y = mx + b

The answer to your question would be

m = 8

Solve for x.
x + 9x = 0
O A.
0,-9
OB.
0,9
O C.
1, -9
OD.
1,9
Reset

Answers

Answer:

A. 0, - 9

Step-by-step explanation:

Given

x² + 9x = 0

x (x + 9 ) = 0

Either

x = 0

or,

x + 9 = 0

x = - 9

Hope it will help :)

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Option A is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² + 9x = 0

To solve for x, we can factor the expression:

x(x + 9) = 0

According to the zero product property, this equation is satisfied if either x = 0 or x + 9 = 0.

We have two solutions:

x = 0 or x = -9

Therefore,

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

pablos pizza makes a profit of $495 each day for 12 days, what is the profit for the 12 days

Answers

Answer:

5940

Step-by-step explanation:

495 x 12 = 5940

What is the total measurement of the angels in a triangle?

Answers

Answer:

The sum of the three angles of any triangle is equal to 180 degrees.

Step-by-step explanation:

Mark brainliest please if my answer is correct thank you and have a nice day

Create an equation with one solution of x = −5.
9x − (x − 3) = 2x − (__ + x)
7.4 #7

Answers

Answer:

9x-(x-3) = 2x - (-5 + x)

Step-by-step explanation:

Let's say blank is the variable a.

9x-(x-3) = 2x - (a + x)

Simplify the equation:

9x-(x-3) = 2x - ( a + x)

9x - x + 3 = 2x - a - x

8x + 3 = x - a

7x + 3 = -a

a = -7x - 3

Plug in -5 for x:

a = -7*-5 - 3 = 35 - 3 = 32

a = 32 so the equation with one solution of x = -5 would

9x-(x-3) = 2x - (-5 + x)

60 points! Please help me fast this is due soon. I will mark brainliest. Random answers will be reported.

Answers

Answer:

k = 1/4, m = 16

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides:

k = 7/28 = 1/4

Find m using the scale factor:

m*1/4 = 4m = 16

Answer:

scale factor is 4 and m is 16.

Step-by-step explanation:

This is because these are similar rectangles, so the proportion of each side to the congruent side is the same. This means that to get from 7 to 28 u multiply by a scale factor of 4, and to get m you would multiply 4 by 4.

please help me please i really need help please

Answers

Answer:

x= -6

y= -5

Step-by-step explanation:

(x,y) = (-6, -5)

Answer:

(-6,-5)

x=-6

y=-5

Step-by-step explanation:

9x-7y=-19

5x-3y=-15

When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.

We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)

{9x-7y=-19}*3=

27x-21y=-57

{5x-3y=-15}*(-7)=

-35x+21y=105

Now, we combine the two equations.

27x-21y=-57

-35x+21y=105

-8x=48

Now, solve for x.

-8x=48

x=-6

Now we can plug x into one of the original equations to get y.

I will use 9x-7y=-19.

9(-6)-7y=-19

-54-7y=-19

Add 54 to both sides.

-7y=35

y=-5

We can put these values into an ordered pair: (-6,-5).

Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who traveled further

Answers

Answer:

Austin and Devyn.

Step-by-step explanation:

1/3 and 2/6 are equal fractions.

Evaluate (14 + x) = 2 when x = 4. A. 7 O B. 18 C. 11 D. 9​

Answers

Answer:

14+4=18 have a good day Ahead

Dale has set up his own business. He now needs funds to buy a new machine to cater to those consumers whose needs could not be met earlier due to lack of infrastructure and funds. Which stage is his business in?
A.
seed stage
B.
growth stage
C.
maturity stage
D.
decline stage


The correct answer is growth stage

Answers

Answer:

The answer is B

Step-by-step explanation:

The preceding two stages are development stage and startup stage. In growth stage one should first focus on fine tuning the business model and by finding ways for operational inefficiencies. Dale has actually already identified the inefficiency which is new machines and non being able to cater to some customers due to lack of machines. In this exact stage businessman try to grow the business by analyzing the main profit drivers and the finding ways to grow the profit driver with less cost

Answer ls B 1089378837739363

Please help i am new here

Answers

Answer: 1. 3/8-1/4=1/8

2. 3/8+1/4=5/8

3. x=5/8

Step-by-step explanation: 1. you have to subtract 3/8 by 1/4 because you have to use the largest number to subtract for the smallest number so 3/8-1/4=1/8

2. Add by adding 3/8 by 1/4 because you have to find the value of x so 3/8+1/4=5/8

3. look at number 2. and the answer is x= 5/8

plz mark me brainliest

you can mark me brainliest when 2 people answered and on my answer look on the bottom right and tap the crown. thx!

Terrence cuts a piece of cake for himself.

Answer the following 2 questions regarding this piece of cake.



The first thing you need to notice on this prism is that the base of this prism is actually a triangle, making it a triangular prism. This is because the triangles are the only sides that are parallel to each other.

What is the area of the triangular base?

Answer: cm2

Answers

Answer:

Disect the shape

Step-by-step explanation:

6 x 10 x 18 ÷ 2 = (Answer)

Two parallel lines are cut by a transversal. Find the value of x

Answers

Answer:

x = 18

Step-by-step explanation:

you set the 2 equations equal to eachother

you minus x on both sides to get x on one side

than find the answer

what is (-9 - 6 x 5) x 10 = ?

Answers

Answer:

-390 is your answer

Answer:

Step-by-step explanation:

PEDMAS - Parenthesis , Exponents ,  Division, Multiplication , Addition and subtraction.

(-9 - 6 *5) *10 = (-9 - 30) *10

                     = -39 *10

                     = -390

Find the exact value of each of the remaining trigonometric functions of theta.
Rationalize denominators when applicable.
sin theta= [tex]\sqrt{\frac{3}{7} }[/tex] given that theta is in quadrant I.
cos theta=
csc theta=
sec theta=
tan theta=
cot theta=

Answers

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Erven is painting canvases. Each canvas requires 4 ounces of paint. He has 21 ounces of paint. What
is the greatest number of canvases Erven could paint?

QUICKKKK PLEASEEE AND IN FRACTIONS

Answers

Answer:

5 1/4

Step-by-step explanation:

If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.

please hurry

Paul deposit $500 in an account that pays 4% annual interest. Find how much Paul will
have after 3 years when the interest is compounded quarterly.

a. $563.41
b. $501.12
c. $515.15
d. $580

Answers

The answer is C $515.15

What is 7.8 * 7.8 * 7.8 * 7.8 * 7.8 as a power

Answers

Answer:

7.8^5

Step-by-step explanation:

Explain your answer !!
Have a nice day

Will give braisnlt

Answers

Answer:

y=-4

Step-by-step explanation:

What is 24 divided by 849, be sure to show your work.

Answers

Answer:

0.02826855123 or 35.37

Step-by-step explanation:

24/849 = 0.02826855123

849/24 = 35.37

PS 5.1- Solving
9. The ratio of leaders to followers was 2:7. If there were a total of 108 people, how many were followers?

Answers

Answer:

84

Step-by-step explanation:

108 / (7+2) = 12

7 x 12 = 84

Answer:

84

Step-by-step explanation:

I'm pretty sure correct me if I'm wrong

Skyler getting a delivery from Chick-fil-A they charge $3 delivery fee plus $0.25 per mile write an equation to find the total cost y for a delivery that is X miles away

Answers

Answer:

y = 3 + 0.25x

Step-by-step explanation:

x represents the miles and if Skyler is charged $0.25 per mile, then x goes with the 0.25. The $3 is a flat fee and doesn't get added any more times then when it is first added.

find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x

PLS ONLY ANSWER IF YOU KNOW THE ANSWER.

Answers

the answer should be the following:
1. (2,1)
2. (-1,-2)

Answer:

(-1,-2)

Step-by-step explanation:

Think of the line y=x as a mirror.  The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).

Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.

I need help on this question

Answers

Answer:

a = 62.5

b = 40

c =62.5

d = 70

5/8 divided by 1 1/3 equals?

Answers

Step-by-step explanation:

5/8 x 3/11 = answer

Keep change flip

Answer:

5/24

Step-by-step explanation:


What is the asymptote for the function?
I tried to do it but I can’t

Answers

Answer:

Horizontal Asymptote → y = 17

Step-by-step explanation:

Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]

Parent function has a horizontal asymptote as y = 0

If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.

Therefore, horizontal asymptote of the image function becomes y = 17.

A box of staples contains 6 x 103 staples and weighs 12 oz. How much does one staple
weigh? Write your answer in scientific notation. Round your answer to the nearest tenth, if
necessary.

Answers

Answer:

2 * 10^-3 oz

Step-by-step explanation:

Given that:

Number of staples per box = 6 * 10^3

Weight of staple box = 12 oz

Weight per staple = (weight of staple box / number of staples per box)

Weight per staple = 12 / 6 * 10^3

Weight per staple = 12 / 6 * 1000

= 12 / 6000

= 0.002 oz

= 2 * 10^-3 oz

Please help need answer!

Answers

Answer:  About 513 feet

A more accurate value is roughly 512.575960394824

==============================================================

Explanation:

With many trig problems, a diagram should help steer you in the right direction. See below.

The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.

The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).

The lighthouse is 250 ft tall, meaning AB = 250

We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.

We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.

-------------------

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(64) = x/250

250*tan(64) = x

x = 250*tan(64)

x = 512.575960394824

x = 513

The distance from B to C is roughly 513 feet.

I'm rounding to the nearest whole number because the other values given to you are whole numbers.

Please help Please I can’t fail this test
Use elimination to solve the system
2x+y=-1
-3x+2y=12
(They are the same problem please help me please)

Answers

Answer:

(-2, 3)

Step-by-step explanation:

I believe (-2, 3)

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