The following arbitrary measurements are made and the errors sited are the aximum errors A = 15.21 +0.01, B = 10.82 +0.05, C = 11.00+ 0.03. If D= A + B + C; (a) Calculate the maximum error in D. (b) if the errors sited are standard errors, calculate the standard error in D.​

Answers

Answer 1

Maximum error in the result of the sum of measurement is equal to the sum absolute error of the individual observed measurements

(a) The maximum error in D is 0.09

(b) The standard error in D is approximately 0.034

The procedure for arriving at the above values is as follows;

The given measurements and the sited errors are;

A = 15.21 + 0.01

B = 10.82 + 0.05

C = 11.00 + 0.03

D = A + B + C

(a) Required parameter;

To calculate the maximum error in D

The equation for the propagation of error in addition is presented as follows;

Given that we have;

x = a + b

Therefore;

x + ±Δx = (a ± Δa) + (b ± Δb) = a + b ± (Δa + Δb)

Δx = Δa + Δb

From the above formula, we have;

Where;

D = A + B + C

The maximum error in D = The sum of the maximum error in A, B, C

∴ The maximum error in D = 0.01 + 0.05 + 0.03 = 0.09

(b) Required parameter:

To find the standard error in D

The standard error is the sampling distribution's standard deviation, SD

Variance = SD²

The combined variance, SD² = The sum of the squares of individual standard deviations

Given that the standard errors represents the standard deviation, we get;

The combined variance, SD² = 0.01² + 0.05² + 0.03²

The combined variance, SD = √(0.01² + 0.05² + 0.03²) = 0.059

[tex]Standard \ error = \dfrac{SD}{\sqrt{n} }[/tex]

Where n = 3, for the three measurement, we get;

[tex]Standard \ error = \dfrac{\sqrt{0.01^2 + 0.05^2 + 0.03^2} }{\sqrt{3} } \approx 0.034[/tex]

The standard error in D is approximately 0.034

Learn more about maximum error and standard error here:

https://brainly.com/question/13106593

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Related Questions

Which of the following describes a sound wave?
A. Longitudinal wave that does not require a medium
c
B. Longitudinal wave that requires a medium
C. Transverse wave that does not require a medium
D. Transverse wave that requires a medium

Answers

The correct answer is B, sound waves are longitudinal with a medium

Which of the following travels with a wave?
O A. Energy only
O B. Matter only
O C. Neither matter nor energy
O D. Both matter and energy

Answers

Answer:

A. Energy only is the answer to your question

write any two features of capital​

Answers

Capital has several important characteristics that are as follows:
Capital is a Passive Factor.
Capital is Man-Made.
Capital is not Indispensable.
Capital has high mobility.
Capital is Elastic.
Capital Depreciates.
Capital is Productive.
Capital is Temporary in Nature.

find the acceleration gained by a body in 6 seconds if its initial velocity is 30 meter/seconds and final velocity is 60/seconds meter and spammers stay away​

Answers

Answer:

Acceleration, a = 5 m/s²

Explanation:

Given the following data;

Initial velocity = 30 m/s

Final velocity = 60 m/s

Time = 6 seconds

To find the acceleration, we would use the first equation of motion;

V = U + at

Where;

V is the final velocity.

U is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting into the equation, we have;

60 = 30 + a*6

60 - 30 = 6a

30 = 6a

Acceleration, a = 30/6

Acceleration, a = 5 m/s²

57. A red ball (m= 10 kg) is moving at 3 m/s. A green ball (m = 8 kg) is moving at 3.5 m/s. Which ball has more
energy and by how much (2)

Answers

Answer:

the green ball has 4J more energy

Explanation:

The kinetic energy is given by the formula

K = 0.5 m v^2

the kinetic energy of the red ball:

K(red) = 0.5*10*3^2= 45J

of the green ball:

K(green)=0.5*8*3.5^2 = 49J

therefore the green ball has more energy by 4 Joules

Why is the cathode ray oscilloscope evacuated?

Answers

Answer:

please like

Explanation:

hope it helps you

a uniform meter ruler is balanced at its midpoint

Answers

Answer:

a) i) x = 0.25 m, ii) x = 0.10 m, iii)  x = 0.050 m

b) i)  x = 0.40 m

Explanation:

a) For this exercise we use the rotational equilibrium equation, where we assume that the anticlockwise rotations are positive.

1) L = 2W  

we set our reference system in the center of the bar where the fulcrum is

              ∑τ = 0

              W 0.50 - L x = 0

              x = 0.50 W / L

we substitute the value

              x = 0.50 W / 2W

              x = 0.25 m

ii) L = 5W

we calculate

              x = 0.50 W / 5W

              x = 0.10 m

iii) L = 10 W

               x = 0.50 W / 10W

              x = 0.050 m

b) a new weight is placed at x₂ = 30 cm on the left side

              W 0.50 + W 0.30 - L x = 0

              x = (0.50 + 0.30) W / L

              x = 0.80 W / L

we calculate

i)  L = 2W

                x = 0.80 w / 2w

                x = 0.40 m

what is measurment ?​

Answers

Answer:

Measurement is the act or the process of finding the size, quantity or degree of something.

Explanation:

We can measure the length, weight, and capacity (volume) of any given object.

The process of comparing an unknown quantity with a known standard quantityis called as measurement.

The moon is 250,000 miles away. How many feet is it from Earth? (dimensional analysis)

Answers

Answer:

1.261 billion

Explanation:The distance between the earth and the moon in miles is 250,000,so in feet,The distance is 1.261 billion

Un ladrillo de 2kg que se encuentra a 200º c, se sumerge en 5 kg de agua a 32º¿a que temperatura se alcanza el equilibrio térmico?

Answers

Answer:

El equilibrio térmico se alcanzará a los 152ºC.

Explanation:

Dado que un ladrillo de 2kg que se encuentra a 200º c, se sumerge en 5 kg de agua a 32º, para determinar a qué temperatura se alcanza el equilibrio térmico se debe realizar el siguiente cálculo:

2+5 = 7

(200 x 5 + 32 x 2) / 7 = X

1064 / 7 = X

152 = X

Por lo tanto, el equilibrio térmico se alcanzará a los 152ºC.

What are the products of a fusion reaction?
A. Energy and a larger nucleus
B. A smaller nucleus and a positron
C. Energy and two or more smaller nuclei
D. A larger nucleus and an electron

Answers

Answer:

I think A

if I'm wrong I'm sorry did my best on research

Answer:

      A

IN fusion reaction two small nuclei join together to form a heavy nucleus with the emission of neutron and energy

In the diagram, q1 = +4.88*10^-8 C.
What is the potential difference when
you go from point A to point B?
Include the correct sign, + or - .
B
0.538 m
1.36 m
91 |
(Hint: Does V go up or down when you go
from B to A?) (Unit = V)

Answers

Answer:

ΔV = 1139.3 V = 1.139 KV (+ve sign shows V goes up)

Explanation:

The potential difference while moving from point A to Point B is given as follows:

[tex]\Delta V = V_B-V_A[/tex]

where,

ΔV = potential difference from A to B = ?

[tex]V_A[/tex] = Potential at point A = [tex]\frac{kq}{r_A}[/tex]

[tex]V_B[/tex] = Potential at point B = [tex]\frac{kq}{r_B}[/tex]

Therefore,

[tex]\Delta V = \frac{kq}{r_B}-\frac{kq}{r_A}\\\\\Delta V = kq(\frac{1}{r_B}-\frac{1}{r_A})[/tex]

where,

k = Colomb's Constant = 9 x 10⁹ N.m²/C²

q = magnitude of charge = 4.88 x 10⁻⁸ C

[tex]r_A[/tex] = distance of point A from charge = 1.36 m

[tex]r_B[/tex] = distance of point B from charge = 0.538 m

Therefore,

[tex]\Delta V = (9\ x\ 10^9\ N.m^2/C^2)(4.88\ x\ 10^{-8}\ C)(\frac{1}{0.538\ m}-\frac{1}{1.36\ m})\\\\\Delta V = (439.2 N.m^2/C)(2.59\ /m)[/tex]

ΔV = 1139.3 V = 1.139 KV (+ve sign shows V goes up)

The answer is 492.87.

Correct on Acellus

A 1 kg billiard ball collides head on with a 0.1 kg marble that sits at rest on the table. The marble moves at 3 m/s in the same direction the billiard ball was originally moving. The billiard ball continues after the collision at 0.3 m/s. What was the initial speed of the billiard ball?

Answers

Let v be the billiard ball's initial speed. The total momentum of the ball-marble system is conserved between the times before and after their collision, so that

(1 kg) v + (0.1 kg) (0 m/s) = (1 kg) (0.3 m/s) + (0.1 kg) (3 m/s)

Solve for v :

v + 0 = 0.3 m/s + 0.3 m/s

v = 0.6 m/s

what is electricity???????​

Answers

Explanation:

Electricity is defined as the rate of flow of charges in a conductor.

hope it helps.stay safe healthy and happy...

Answer:

Electricity is the presence and flow of electric charge. Using electricity we can transfer energy in ways that allow us to do simple chores . it's best - known form is the flow of electrons through conductor such as copper wires. The world "electricity " is sometimes used to mean "electrical energy "

Explanation:

hope it is helpful to you

[tex]kavya[/tex]

ANSWER ASAP What happens to a circuit’s resistance (r) , voltage (v) , and current (l) when you decrease the length of the wire in the circuit ?
A . R decreases
V constant
l increases

B . R constant
V increases
l increases

C . R increases
V constant
l decreases

D . R increases
V decreases
I decreases

Answers

Answer:A

Explanation:i just took the test

2. A student is pulling a 11.0 kg sled along flat ground. The students 30.0 kg sister then sits in the sled. The student then applies a 430 N force at an angle of 35° N of E. If the force of friction is 180 N, what is the acceleration of the sister sitting in the sled. (Ensure you draw a free body diagram.)

Answers

Answer:

Explanation:

The equation for this is

F - f = ma

The thing that gets strange here is that, because the student is pulling his sister on the sled with the rope at an angle, some of his efforts are being wasted. The sled is only going to move forward (horizontally), so the vertical component of that force is useless. He's not actually pulling horizontally with that much force; we have to figure out how much using the following equation:

[tex]F=430cos35[/tex] to get that

F = 352 N

Everything else falls into place quite easily into the equation now:

352 - 180 = 41a and

172 = 41a so

a = 4.2 m/s/s

Water exits straight down from a faucet with a 1.96-cm diameter at a speed of 0.55 m/s. The volume flow rate of the water as it exits from the faucet is Blank
1. Calculate the answer by read surrounding text. cm3/s. As the water falls from the faucet with the given speed, it accelerates due to gravity and reaches a speed of _______
2. Calculate the answer by read surrounding text. after it has moved 0.2 m downward. With this change in speed of the water, the diameter of the stream 0.2 m below the faucet is _______
3. Calculate the answer by read surrounding text. _________ cm.

Answers

Answer:

Q = 165.95 cm³ / s,  1)    v = [tex]\sqrt{0.55^2 + 19.6 y}[/tex],  2)  v = 2.05 m / s,

3)  d₂ = 1.014 cm

Explanation:

This is a fluid mechanics exercise

1) the continuity equation is

         Q = v A

where Q is the flow rate, A is area and v is the velocity

         

the area of ​​a circle is

        A = π r²

radius and diameter are related

        r = d / 2

substituting

       A = π d²/4

       Q = π/4   v d²

let's reduce the magnitudes

       v = 0.55 m / s = 55 cm / s

let's calculate

       Q = π/4   55   1.96²

       Q = 165.95 cm³ / s

If we focus on a water particle and apply the zimematics equations

        v² = v₀² + 2 g y

where the initial velocity is v₀ = 0.55 m / s

        v = [tex]\sqrt{0.55^2 + 2 \ 9.8\ y}[/tex]

        v = [tex]\sqrt{0.55^2 + 19.6 y}[/tex]

2) ask to calculate the velocity for y = 0.2 m

        v = [tex]\sqrt{0.55^2 + 19.6 \ 0.2}[/tex]

        v = 2.05 m / s

3) We write the continuous equation for this point 2

        Q = v₂ A₂

        A₂ = Q / v₂

let us reduce to the same units of the SI system

        Q = 165.95 cm³ s (1 m / 10² cm) ³ = 165.95 10⁻⁶ m³ / s

        A₂ = 165.95 10⁻⁶ / 2.05

        A₂ = 80,759 10⁻⁶ m²

area is

        A₂ = π/4   d₂²

        d₂ = [tex]\sqrt{4 A_2 / \pi }[/tex]

        d₂ = [tex]\sqrt{ \frac{4 \ 80.759 \ 10^{-6} }{\pi } }[/tex]

        d₂ = 10.14 10⁻³ m

        d₂ = 1.014 cm

Chỉ ra kết luận đúng trong các kết luận sau:



A.
Chỉ có các hạt mang điện tích dương chuyển động có hướng mới tạo ra dòng điện.

B.
Chỉ có các hạt mang điện tích âm chuyển động có hướng mới tạo ra dòng điện.

C.
Khi nguyên tử chuyển động có hướng thì xuất hiện dòng điện.

D.
Các dụng cụ điện sẽ hoạt động khi có dòng điện chạy qua.

Answers

it should be c! hope this helps

In a democracy how is rule of law regarded

Answers

Answer:

It is respected as leaders are accountable to the people. The rule of law within a democratic country will dictate what actions is considered wrong and punishable to do in that country. This will prevent people from harming and violating each other to get what they want and form a stable and safe society

Which of the following measures does not help promote technological progress?


issuing a patent to a company that invents a new product


increased wages for researchers


training programs for workers


reducing the scale of the market for a new product

Answers

Answer:

reducing the scale of the market for a new product

Explanation:

A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, soft drinks, automobiles, motorcycles, etc.

The use of technology in the manufacturing of a new product can be effectively and efficiently promoted in the market by doing the following;

I. Issuing a patent to a company that invents a new product. Patent can be defined as the exclusive or sole right granted to an inventor by a sovereign authority such as a government, which enables him or her to manufacture, use, or sell an invention for a specific period of time.

Generally, patents are used on innovation for products that are manufactured through the application of various technologies.

II. Paying a higher amount of money as wages for researchers who are saddled with the responsibility of making finding about a product.

III. Creating a training programs that would help to improve on the knowledge and skills of workers.

However, reducing the scale of the market for a new product in comparison with other products and standards does not help promote technological progress.

What animal would your trapezius muscles look like if you concentrated on working it out

Answers

Answer:

If you went to work your trap muscles you don't need a ton of fancy gym equipment. Here are four trapezius exercises you can perform using your own body.

pushupshrupupright rowshoulder blade squeeze

which compound has molecules​

Answers

Answer:

Molecular compounds have molecules

answer: molecular compounds

Molecular compounds are chemical compounds that take the form of discrete molecules.

Which statement should he place in the region marked X?

Answers

Explanation:

The answer is Electrons move between objects.

Explain the method to measure the external diameter of a sphere

Answers

Answer:

The sphere is that the circular objects in the two-dimensional space (1) circle

(2) disk. Two-dimensional space is a set of points and the distance of that point, The two points of Sphere that length and center.

The sphere can be constructed as the name of surface form circle about any diameter. The circle is the special type of the revolution replacing the circle,

the sphere is the distance r is the radius of the ball and the circle is the center of the mathematical ball, as the center and the radius of the sphere is to respectively.

The ball and sphere have not to be maintained mathematical references as solid references. A sphere of any radius is centered at the number of zero.

Explanation: Hope this helps and good luck :)

An unbalanced 6.0-newton force acts eastward on an object for 3.0 seconds. The impulse
produced by the force is
18 N:s east
2 Nós east
18 N:s west
2 Nis west

Answers

c. 18 N:s West ksmxmak kxkammxj kan

which best esplains how the body maintains homeostasis.
a. All systems work together to stabilize the body .
b. Each systems work indepently to stabilize the body .
c. All systems works together to match the external environment.

​d. Each system works indepently to match the external evironment.

Answers

a. all systems work together to stabilize the body

All systems work together to stabilise the body!!

What is the lowest possible temperature?
a 273 K
b absolute zero
со °C
d 100 °C

Answers

Answer:

b- absolute zero

*( And it's called zero kelvin)

A cricket player lowers his hands while catching the ball. wny?​

Answers

because maybe the ball was going downwards or he was getting ready to catch the ball. one of those 2.

Performance Task 2: "TAKE HOME TASK
1. It took scientist a long time to reconcile the dual nature of light, which led to the idea of the duality of matter. To further see an
evidence of this concept try to observe the smoke coming from a barbeque drill. From a distance, you will see a
wave flow of smoke going up.
Guide Questions:
a. Look closely into it, what do you see?
ha Does your observation tell something about the dual nature of matter? Why? Why not?
2. Observe the colors on the soap bubbles on the surface of water.
Guide Questions:
a. What do you see?
b. What property of light is exhibited?

Pasagot po huhu

Answers

I am dum sorry .........

What is the mass of a neutron?

Answers

Answer:

1

Explanation:

Answer:

I think 1 amu

Sorry if it is wrong.

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