In a cheese factory, 4.5-kg blocks of cheese are cut manually. For a large number of blocks, the standard deviation of the cutting process is measured and found to be 0.10 kg. The measurement was done with a scale with an accuracy of 1.5% of the full scale of 12 kg. Calculate the total uncertainty of the weight of the blocks of cheese at a 95 % confidence level.

Answers

Answer 1

Answer:

0.2690 kg

Step-by-step explanation:

Given that:

For cutting a 4.5 kg block of cheese; the standard deviation:

[tex]S_x = 0.1 \ kg[/tex]

For a large no of blocks,  at 95% confidence level;

Using the t table; where the degree of freedom is infinity or > 30

t-distribution (t) = 2

[tex]P_x = tS_x[/tex]

[tex]P_x = 2 \times 0.1[/tex]

[tex]P_x = 0.2 \ kg[/tex]

The system uncertainty as a result of the accuracy [tex]B_x[/tex] is:

[tex]B_x = 1.5\% \ of \ reading[/tex]

[tex]B_x = (\dfrac{1.5}{100})(12 kg)[/tex]

[tex]B_x = 0.18 \ kg[/tex]

The total uncertainty  for a single experiment with a 95% confidence interval will be:

[tex]w_s = ( B_x^2 + P_x^2)^{\frac{1}{2}[/tex]

[tex]w_s = (0.18^2 + 0.2^2)^{\frac{1}{2}[/tex]

[tex]\mathbf{w_s = 0.2690 \ kg}[/tex]


Related Questions

Here is a rectangle
7 cm
3 cm
Nor drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?​

Answers

Answer:

a square and rectangle have the same perimeter. the length of the rectangle is 4 cm less than twice the side of the square, and the width of the rectangle is 6 cm less than the side of the square.

Step-by-step explanation:

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The required side length of the square is 5 cm.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

Length of rectangle = 7 cm,

Width of rectangle = 3 cm.

The perimeter of rectangle = 2(length + width)

                                             = 2(7 + 3)

                                             = 2 x 10

                                             = 20

Also, given that the perimeter of the rectangle is equal to the perimeter of a square,

Let side of square is a then perimeter = 4a

⇒ 4a = 20

⇒ a = 5

The side length of the square is 5 cm.

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PLEASE HELP ASAP!!!!! i will give brainliest

Answers

Answer:

Step-by-step explanation:

you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equation

I'll be using the quadratic equation

Two​ balloons, Balloon A and Balloon​ B have a total volume of gallons. Balloon A has a greater volume than Balloon B. The difference in their volumes is a gallon. What is the volume of each​ balloon?

Answers

Answer:

A=2 B=1

Step-by-step explanation:

The question is in the attachment

Answers

Answer:

120

10 12

2 5 2 6

2 3

150

10 15

2 5 3 5

Step-by-step explanation:

120= 2x2x2x3x5

150= 2x3x5x5

Multiply all the common prime factors.

2x3x5

HCF= 30

Solve for x:
7x - 3x + 11 = 27

Answers

7x-3x=27-11
4x=16
16/4=x
x=4

Answer:

-10

Step-by-step explanation:

Mr. Saslow needs to buy a drink, chips and a sandwich for lunch. He has $15 to spend on his lunch. If
the total cost of the drinks and chips was 4 dollars, which inequality represents the dollar amount, d,
he can spend on a sandwich?
a. d < 11
b. d > 11
C. d < 19
d. d > 19

Answers

Answer:

a. d < 11

Step-by-step explanation:

4 + d < 15

d < 15 - 4

d < 11

Can some one help me with these 2 questions I’ll give you brainliest

Answers

9514 1404 393

Answer:

  2 + 5i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]

__

In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.

Given that the function g is defined by the rule g(x)=3-2x,determine the following

g(a)=

Answers

Answer:

The value of g(a) is:

g(a) = 3 - 2a

Step-by-step explanation:

Given

As the function g(x) is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

In order to determine g(a),

substitute x = a in the function g(x) = 3 - 2x

g(x) = 3 - 2x

g(a) = 3 - 2(a)

g(a) = 3 - 2a

Therefore, the value of g(a) is:

g(a) = 3 - 2a

Hank cut his pizzainto 10 pieces and ate 6 of the pieces.Rose cut her pizza into 5 pieces and ate the same amount as hankShow this on a drawing​

Answers

Answer:

well you would have to draw two pizzas or circles

Step-by-step explanation:

what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!

15 is 9 more than j I need an equation

Answers

Answer: j = 6

Step-by-step explanation:

the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.

Answer:

you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together

Step-by-step explanation:

Help me please .

I need to show full work to the teacher ?
How to solve it

Answers

You divide all the sides for example 5•7•8•

Find the value of x so that the ratios are equivalent.
1:8 and 4:x
X =

Answers

Answer:

32

Step-by-step explanation:

1 : 8 = 4 : 32

So, 4 : x = 4 : 32

x = 32

The value of x from the given ratios is 32.

Given that, the ratios 1:8 and 4:x are equivalent.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here,

1:8 =1/8

4:x =4/x

Ratios are equivalent 1/8 = 4/x

x= 4×8

x=32

Therefore, the value of x from the given ratios is 32.

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jenna works for the city transportation department. she made a table to show the number of people that can be transported on a different number of buses. complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y.​

Answers

Answer: y=52x

at this rate, how many people will be transported on 30 buses? answer: 1560 you have to multiply 52x30=1560

Step-by-step explanation:

i’m doin this i-ready and got it right

Will give brainliest

Gor is running a bakery he has made a street sign to direct people to his bakery
A 645
B 300
C 585
D 390

Answers

I apologize if i’m wrong but i’m pretty sure it’s B. 300 square inches

Answer:

C pls can i get brainlist

Step-by-step explanation:

What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive

Answers

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

Two six-sided dice are rolled. Find the probability that the first die is not a 5, and that the second die is not a 2

Answers

Answer:

P(not 5, not 2) = 5/6 x 5/6 = 25/36

Step-by-step explanation:

Answer:

The correct answer is 5/6 bc

Step-by-step explanation:

The correct answer was 5/6

Let E be the event "the first die is a 5" and F be the event "the second die is a 2." E and F are independent events. Hence so are the complements of E and F. This means that the probability of the complement of E given the complement of F is just the probability of the complement of E, which is 1 - 1/6 = 5/6.

53% of players have answered correctly.

$20 haircut; 10% tip Find the total cost

A. $2.00

B. $18.00

C. $22.00 0

D. $40.00​

Answers

Answer:

answer is c

Step-by-step explanation:

10% of 20 is 2.00
10 cents per every dollar. 10*20 is 200 pennies or 2$
So
20+2 is 22 hope this helps

1 + 100000 + 100000 + 100000 =

Answers

SKDJDJBDNDBD Its 300001 lol

Simplify
6sqrt20 + 8sqrt5 - 5sqrt45

Answers

Answer:

20√5 - 10√10

Step-by-step explanation:

6√20 + 8√5 - 5√45

first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:

6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5

5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10

now:

12√5 + 8√5 - 10√10

then, add the coefficients of 12√5 and 8√5

20√5 - 10√10

the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer

Which table represent a linear function. Picture attached and I will mark brainly

Answers

Answer:

Bottom right

Step-by-step explanation:

A linear function is a function that if ploted would be represented by a straight line. The only function out of the following 4 that follows this statement is the bottom right option.

What is the greatest common factor of 3 and 27?

Answers

Answer:

9

Step-by-step explanation:

3*9=27

The greatest common factor of 3 and 27 is 3.

Given numbers are 3 and 27.

To find the greatest common factor of 3 and 27, find the factor each number individually.

So, the factor of 3 are:

3 = 1, 3

and, the factor of 27 are:

27= 1, 3, 9, 27

Now, the greatest common factor will be 3.

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What is the value of 0X4 ?
WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

is they fhour the repondet

Answer:

B. 0! x 4 = 4

Step-by-step explanation:

0! is equal to 1 so

1 times 4 is 4

So the answer is

Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.

Which statements are true about the distance Sal walks?

Select each correct answer.

Answers

the attachment is not clear dude...

Answer:

the attachment is not clearly

What is the solution to the system of equations below?

x = 5y - 2 AND 3x - 4y = 27 *

Answers

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

(3x^2-8+3X)-(10+2x^2-2X)

Answers

Answer: x^2+5x-18

Step-by-step explanation:

jtftfjjvvjvghchvjufvyffytrcf
please help quick

Answers

Answer:

The one on the top right

Step-by-step explanation:

It displays 8 steps each with a length of 1/2 to represent 8 x 1/2.

HTH :)

Which two angles are adjacent?

∠AHD and ∠AHB

∠DHB and ∠BHF

∠AHD and ∠BHF

I don't know.
Imported Asset

Answers

Answer:

I think it is ∠DHB and ∠BHF

Step-by-step explanation:

Because they share a common side

What is the multiplicative inverse of the number 5?

Answers

Answer:

1/5

Step-by-step explanation:

From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?

Answers

I believe that the answer is zero

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Answers

Answer:

s=65

Step-by-step explanation:

T to S is 180

180-115=65

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