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

Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?

118.4 divided by 6.4 ?

Answers

Answer:

18.5

Step-by-step explanation:

Answer to question: 18.4

Here is a pattern of squares:
Step 1
Step 2
Step 3
Write an equation to represent the relationship between the step number and the
number of squares in the pattern.
Briefly describe how each part of the equation relates to the pattern.

Answers

9514 1404 393

Answer:

y = n^2 +nupper left corresponds to n^2; lower right corresponds to n

Step-by-step explanation:

The number of squares in the upper left portion of the figure is the number in a square n on a side, so is n^2. The number of squares in the lower right portion of the figure is equal to the step number, n. A suitable equation adds these numbers together.

  y = n^2 +n . . . . where y is the number of squares in the pattern of Step n.

Answer:Your answer is...

Step-by-step explanation:

y = n^2 +n

The tables show the amount earned by James and Paco working at the same store.

James's Hours Amount Earned
3 $35.40
5 $59.00
8 $94.40

Paco's Hours Amount Earned
2 $24.00
4 $48.00
7 $84.00
What are the two equations that can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?

Compare the equations to determine if there is any difference between what James and Paco make each hour.

Answers

its pacos hour because as you can see he makes more i just know trust me its pacos

Please, please, please, please help

Answers

1,126.25 hope this helped :)
It’s 198.75 dollars
It’s C

Combine like terms in expression below

2f + 9e - f + 3e

Answers

Answer:

12e + f

Step-by-step explanation:

2f - f = f

9e + 3e = 12

....

Answer:

f + 12e

Step-by-step explanation

(+2f) + (+9e) + (-f) + (+3e)

(2f) + (-f) = 1f or f

9e + 3e = 12e

f + 12e

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.


A tree diagram. Random student studies for test is 0.6, and does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.


The professor informs the class that there will be a test next week. What is the probability that a randomly selected student passes the test with a B or higher?


0.33

0.41

0.55

0.75

Answers

Answer:

i think it is 0.33 probably wrong

Step-by-step explanation:

i  am proably wrong

find product of 5/12×6​

Answers

multiply the numerators to get 30 then denominators to get 12
so the answer is 30/12

which is 5/2

Answer:

2 and 1/2

Result in decimals: 2.5

Step-by-step explanation:

5/12 × 6/1 = 5/2 = 2 and 1/2

Result in decimals: 2.5

Calculation steps:

5/12 × 6/1 = (5 × 6)/(12 × 1) = 30/12

30 ÷ 6 = 5

12 ÷ 6 = 2

= 5/2

= 2 and 1/2

what is the common denominators for 2/4 and 7/8​

Answers

Answer:

8

Step-by-step explanation:

four and eight are both factors of 8.

Which of the following is not a function
{(-1,-2), (0, -3),(1,-2), (2,1)}
{(-1,-2), (0, -3), (1, -2), (2, 1)
{(-2, 2), (-1,1),(0,0),(1,1)}
{(-2,0), (2,2), (2, -2), (7,3)}

Answers

Answer:

The final set is not a function.

Step-by-step explanation:

There are two x-values that are the same, making it not a function. Notice, this is not the same in the other sets, because each x corresponds to exactly one y-value in the other functions.

Solve.

−8y ≥ 56


y ≤ 7


y ≥ 7


y ≥ –7


y ≤ −7

Answers

9514 1404 393

Answer:

  (d)   y ≤ -7

Step-by-step explanation:

The solution is found by dividing by the coefficient of y. Since that is a negative number, the sense of the comparison is reversed.

  -8y ≥ 56

  (-8y)/(-8) ≤ 56/(-8)

  y ≤ -7

A survey shows that three out of every five teenagers at a particular school with cell phones use text messaging. In a group of 90 teenagers, how many would you expect use text messaging? 34 54 56 150​

Answers

Answer:

Out of a group of 90 there would be 54 messaging  

Step-by-step:

messaging is a weird word

Solve for X

-8 - x = x - 4x

Answers

Answer:

−8−x=x−4x

Step 1: Simplify both sides of the equation.

−8−x=x−4x

−8+−x=x+−4x

−x−8=(x+−4x)(Combine Like Terms)

−x−8=−3x

−x−8=−3x

Step 2: Add 3x to both sides.

−x−8+3x=−3x+3x

2x−8=0

Step 3: Add 8 to both sides.

2x−8+8=0+8

2x=8

Step 4: Divide both sides by 2.

2x

2

=

8

2

x=4

Answer:

x=4

x = 4

Hope I helped!!!!!!!

How many years will it take James to recover his investment?

Answers

I don’t think anyone knows this one not even James

4/5 times 1/2 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer:

2/5

Step-by-step explanation:

4/5*1/2

=2/5

The answer is 0.4 in decimal form and 4/10 simplified is 2/5 in fraction form.

NEED HELP WITH GEOMETRY

Answers

Answer:

Please look down below

Step-by-step explanation:

∠1 + 69 + 47 = 180 (because straight line)

∠1 = 180 - 116

∠1 = 64

∠2 + ∠1 + 63 = 180 (because triangle)

∠2 + 64 + 63 = 180

∠2 = 180 - 127

∠2 = 53

∠3 + ∠1 = 180 (because straight line)

∠3 + 64 = 180

∠3 = 116

∠5 = ∠4 (given)

∠5 + ∠4 + ∠3 = 180

Denote ∠5 and ∠4 as x, so 2x

2x + ∠3 = 180

2x + 116 = 180

2x = 64

x = 32

∠5 = 32, ∠4 = 32

∠6 + 136 = 180 (because straight line)

∠6 = 44

∠7 + ∠6 + 47 = 180 (because triangle)

∠7 + 44 + 47 = 180

∠7 = 180 - 91

∠7 = 89

Which of the following points is between 50 and 60 units away from (7, -2)?
a) (23,4)
b) (14,-6)
c) (60,-2)
d) (-1,9)

Answers

Im pretty sure the answer is c.

-|3| and |-3| are the same they both equal 3

Answers

False, the one with -l3l is equal to -3 because the absolute value of 3 is 3 but then you have to put the negative sign on it.

1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:​

Answers

Answer:

Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]

Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]

Step-by-step explanation:

Existen dos formas distintas de determinar las áreas de cada cuadrilátero:

(i) Obtener el área de cada cuadrado y sumar los resultados.

(ii) Calcular los lados del cuadrilátero grande y determinar el área.

Cuadrilátero A

Método (i)

[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]

[tex]A = y^{2}+4\cdot y +4[/tex]

Método (ii)

[tex]A = (y+2)\cdot (y+2)[/tex]

[tex]A = y^{2}+4\cdot y + 4[/tex]

Cuadrilátero B

Método (i)

[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]

[tex]A = a^{2}+6\cdot a +9[/tex]

Método (ii)

[tex]A = (a+3)\cdot (a+3)[/tex]

[tex]A = a^{2}+6\cdot a + 9[/tex]

The line across which a figure is flipped is called the line of transformation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

7/8 - 3/8 gvvgmhfjfjfff.f,hvh .I niece answer

Answers

I honestly don’t know

I think it’s A but I need help double checking!

Answers

Yea it’s A good work

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

A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?

Answers

Answer:

the answer is 1,089 since 33x33=1,089.

Step-by-step explanation:

A= x^2    x being the length of one of the sides, since all sides are the same.

1,089 is the area of the cornfield

Can someone help me out

Answers

Answer:

1) -6/-10=3/5

2) -27/10x75/18 = -2025/180 = -135/12 (or) -11 1/4 (or) -11.25

3) 7+8-9=6

4) Billions

5) No, because you can't take a negative number of classes

Step-by-step explanation:

1) -6/-10=3/5

2) -27/10x75/18 = -2025/180 = -135/12 (or) -11 1/4 (or) -11.25

3) 7+8-9=6

4) Billions

5) No, because you can't take a negative number of classes

You do not need to draw the line of best fit, I just need the answers for the rest. Thanks!

Answers

Answer:

c

Step-by-step explanation:

Amy is x years old. Jennifer is 5 years older than Amy. Their father is 4 times as old as Jennifer. Write an expression to represent the fathers age. Then write an expression to represent the sum of their ages. Make sure your final expresson is simplifed.

Answers

Answer:

Refer to explanation below^

Step-by-step explanation:

Amy = x

Jennifer = x + 5

Father = x + 5 x 4 = 4x + 5

Total = 4x + 5 + x + 5 + x = 6x + 10

3k - 14 = 3(k – 5) +1 one solution, no solution, or infinite solution ​

Answers

Always true so it would be so THEYRE interval notation. I believe it’s infinite solution

To ride a horse at the state fair costs $2 per minute. Paolo buys a 16-minute ride. Next time, he plans to ride 25% longer. How much will he pay?

Answers

Answer: $2.50

Step-by-step explanation: 2/16 to find what it cost for one minute. 16*1.25 because he is riding 25% more. (16*1.25) *.125

.125 if the amount for 1 minute

Plz help me with this I’m stuck

Answers

Answer:

I belive the answer to this is D or A

Step-by-step explanation:

But I strongly think its A

Answer:

The answer is A

(x - 5)2 + (y-(-3))2 = 34 (x - 5)2 + ( + 3)2 = 34 Exercises 12.2 Complete the following: 1. Find the equation of the circle having the given center and ra (a) C(0,0), r= 3 (c) C(4, 3), r = 5 (d) C(2, (b) C(-2.​

Answers

Answer:

Step-by-step explanation:

The general equation of the circle

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Center = c = (h,k) , radius = r

if C = (0,0) , r = 3

The equation will be :

(x-0)^2+(y-0)^2=3^2

[tex]x^2+y^2=9[/tex]

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Rats on the ships carried the disease. Fleas from the rats spread the disease to people.C Once people became infected, the disease could be spread from person to person. People became infected as they came in contact with the sick. According to Jean de Venette, a friar who lived at the time, young people were more likely to die than old people. Those who got sick lasted only two or three days and then died suddenly. This happened in such great numbers that often those who lived could not keep up with burying the dead. The friar wrote, Someone who was healthy one day could be dead and buried the next. . . . A healthy person who visited the sick hardly ever escaped death.D No one knows the exact number of plague deaths in Europe. Some guess that about 25 million people died in Europe from 1347 to 1351. This was about one third of the entire population. The death rate varied from place to place. Towns seemed to be harder hit than the countryside. Some entire villages and towns were wiped out. The plague affected the rich as well as the poor. Even the great and powerful, including royalty, were struck down. Throughout Europe, populations were devastated by, as the Welsh called it, death coming into our midst like black smoke.E The Black Death greatly affected Europe. Relations between the upper classes and lower classes changed. Workers, now in short supply, demanded higher wages. In several European countries, peasants staged uprisings. There were emotional effects as well. In some areas, the theme of death appeared in poetry, sculpture, and painting. Peoples faith was shaken. The church lost some of its power and importance. The Black Death took a greater toll on human life than any war or illness before that time. 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