What current is needed in the solenoid's wires?

A researcher would like to perform an experiment in a zero magnetic field, which means that the field of the earth must be canceled. Suppose the experiment is done inside a solenoid of diameter 1.0 m, length 3.8 m , with a total of 5000 turns of wire. The solenoid is oriented to produce a field that opposes and exactly cancels the 52 μT local value of the earth's field.

What current is needed in the solenoid's wires? Express your answer with the appropriate units.

Answers

Answer 1
Using Ampere's Law, the magnetic field produced inside this solenoid is given by
B = uo N I / h
where uo is the vacuum permeability, N is the number of turns in the solenoid and h is the length of the solenoid. Earth's magnetic field is around 50 microteslas in North America thus the current needed in the solenoid is
I = B h / (uo N) = (50 E-6 ) (4) / ((4 pi E-7)(6000) ) = 0.026 A
I = 26 mA
So you need a current of around 26 mA.

Related Questions

Which best explains how fiber-optic technology has improved communication?

It has eliminated the need to send audio data through telephones.
It has allowed for faster transmission of Internet signals.
It has increased the speed at which light travels through space.
It has reduced society’s reliance on devices such as computers and cell phones.

Answers

Answer:

B. It has allowed for faster transmission of Internet signals.

Explanation:

i took the test on engenuity

Fiber-optic technology has allowed for faster transmission of Internet signals.

What is meant by fiber-optics?

The term fiber optics, often known as optical fiber, describes the technique used to transport data via light pulses travelling along a glass or plastic fiber.

Here,

In fiber-optic communications, optical fibres are widely used to send light over longer distances and at higher bandwidths (data transfer rates) than electrical cables. They are most frequently used to convey light between the two ends of the fiber.

The concept of complete total internal reflection governs the operation of optical fibres. When a light beam strikes the interior surface of an optical fiber cable with an incidence angle greater than the critical angle, the incident light beam reflects in the same medium, and the occurrence is repeated.

Hence,

Fiber-optic technology has allowed for faster transmission of Internet signals.

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A flower as an object in front of a convex mirror. A smaller upright flower closer to the mirror. A smaller upright flower close to the mirror on the other side of the mirror. An inverted smaller flower on the on the other side of the mirror just past the focal point. An inverted flower the same size as the object right below it.
Which flower would most likely represent the image formed by the mirror? Justify your answer.

Answers

Answer:

There are 13 a

Explanation:

That's the answer how many a r there

Answer:

the convex mirror will produce image 3. the image is virtual and is now behind the mirror and it becomes smaller but remains upright.

Explanation:

convert 0.0345mW
to MW​

Answers

Answer:

3.45e-11MV

that is ur answer

pls help me this is a major SOS pls help pls btw this is IXL

Answers

Explanation:

the object with the higher temperature has greater thermal energy

So the answer is

the stick of butter with less thermal energy.

Hope it will help :)

Answer:

The stick of butter with less thermal energy

Explanation:

I am pretty sure

|:Give one word answer
1. An object that allows whole light to pass through it _______​

Answers

Answer:

Translucent object

Explanation:

Which list of reaction types are all redox reactions?
A.
Synthesis, decomposition, single-replacement, combustion
B.
Synthesis, double-replacement, combustion, decomposition
C.
Acid-base, single-replacement, double-replacement, synthesis
D.
Decomposition, double-replacement, acid-base, synthesis

Answers

A. Synthesis, decomposition, single-replacement, combustion

List of reaction types are redox reactions:

Synthesis, decomposition, single-replacement, combustion.What are redox reaction ?

"Redox reactions are oxidation-reduction chemical reactions in which the reactants undergo a change in their oxidation states." The term 'redox' is a short form of reduction-oxidation. All the redox reactions can be broken down into two different processes – a reduction process and an oxidation process.

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*How much energy is
transferred in lifting a 5 kg
Mass 3m​

Answers

Answer:

147 J

Explanation:

The energy transferred to potential energy is :

U = m * g * h = (5 kg) * (9.8 m/s^2) * (3 m) = 147 J

Animals conduct_______.

A. cellular respiration

B. photosynthesis

C. both cellular respiration and photosynthesis

Answers

a. cellular respiration
C. Both cellular respiration and photosynthesis

On a car trip you drive for 2 hours and 41 minutes on a highway at a speed of 107.0 km/h. Then you stop at a gas station to fill up your tank. You also eat a quick lunch. The whole break lasts 23 minutes. After the break you start your engine up and you switch to a state road. You drive for another 3 hours and 31 minutes at a speed of 67.0 km/h before you arrive to your destination. What was your average speed for the whole trip with the lunchbreak included

Answers

Answer:

v = 79.3 km/h

Explanation:

By definition, the average speed, is the quotient between the total distance traveled and the time needed to travel that distance.The total time, is the sum of three times: one while driving before stopping at the gas station (t₁), the time spent there (t₂) and the time since leaving the gas station until reaching the final destination (t₃) .Let's convert these times to seconds first:

      [tex]t_{1} = 161 min* \frac{60s}{1min} = 9660 s (1)[/tex]

      [tex]t_{2} = 23 min* \frac{60s}{1min} = 1380 s (2)[/tex]

      [tex]t_{3} = 211 min* \frac{60s}{1min} = 12660 s (3)[/tex]

      [tex]t_{tot} =t_{1} +t_{2} +t_{3} = 9660s + 1380s + 12660s = 23700s (4)[/tex]

In order to find the total distance traveled, we need to add the distance traveled before stopping at the gas station (x₁) and the distance traveled after leaving it (x₂).Applying the definition of average speed, we can find these distances as follows:

       [tex]x_{1} = v_{1} * t_{1} (5)[/tex]

       [tex]x_{2} = v_{2} * t_{3} (6)[/tex]

where v₁ = 107.0 km/h, and v₂= 67.0 km/hAs we did with time, let's convert v₁ and v₂ to m/s:

       [tex]v_{1} = 107.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 29.7 m/s (7)[/tex]

      [tex]v_{2} = 67.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 18.6 m/s (8)[/tex]

Replacing (7) and (1) in (5) we get x₁, as follows (in meters):

       [tex]x_{1} = v_{1} * t_{1} = 29.7 m/s * 9660 s = 286902 m (9)[/tex]

Doing the same for x₂ with (3) and (8):

       [tex]x_{2} = v_{2} * t_{3} = 18.6 m/s * 12660 s = 235476 m (10)[/tex]

Total distance traveled is just the sum of (9) and (10):

       [tex]x_{tot} = x_{1} +x_{2} = 286902 m + 235476 m = 522378 m (11)[/tex]

As we have already said, the average speed is just the quotient between (11) and (4), as follows:

       [tex]v_{avg} =\frac{\Delta x}{\Delta t} = \frac{522378m}{23700s} = 22.0 m/s (12)[/tex]

Converted back to km/h:

       [tex]v_{avg} = 22.0 m/s*\frac{1km}{1000m}*\frac{3600s}{1h} = 79.3 km/h (13)[/tex]

All magnetic fields result from the movement of
A. charged particles
B. electrons only
C. protons only
D. neutrons only

Answers

Don’t know sorry I’m just trying not a good person

Two strings with linear densities of 5 g/m are stretched over pulleys, adjusted to have vibrating lengths of 0.50 m, and attached to hanging blocks. The block attached to string 1 has a mass of 20 kg and the block attached to string 2 has a mass of M. Listeners hear a beat frequency of 2 Hz when string 1 is excited at its fundamental frequency and string 2 is excited at its third harmonic. What is one possible value for mass M

Answers

Answer:

2.18 kg

Explanation:

The frequency of a wave in a stretched string f = n/2L√(T/μ) where n = harmonic number, L = length of string, T = tension = mg where m = mass of object on string and g = acceleration due to gravity = 9.8 m/s² and μ = linear density of string.

For string 1, its fundamental frequency f  is when n = 1. So,

f = 1/2L√(T/μ) =  1/2L√(mg/μ)

Now for string 1, L = 0.50 m, m = 20 kg and μ = 5 g/m = 0.005 kg/m

substituting the values of the variables into f, we have

f = 1/2L√(mg/μ)

f = 1/2 × 0.50 m√(20 kg × 9.8 m/s²/0.005 kg/m)

f = 1/1 m√(196 kgm/s²/0.005 kg/m)

f = 1/1 m√(39200 m²/s²)

f = 1/1 m × 197.99 m/s

f = 197.99 /s

f = 197.99 Hz

f ≅ 198 Hz

For string 2, at its third harmonic frequency f'  is when n = 3. So,

f' = 3/2L√(T/μ) =  3/2L√(mg/μ)

Now for string 2, L = 0.50 m, m = M kg and μ = 5 g/m = 0.005 kg/m

substituting the values of the variables into f, we have

f' = 3/2L√(Mg/μ)

f' = 3/2 × 0.50 m√(M × 9.8 m/s²/0.005 kg/m)

f' = 3/1 m√(M1960 m²/s²kg)

f' = 3/1 m√M√(1960 m²/s²kg)

f' = 3/1 m √M × 44.27 m/s√kg

f' = 132.81√M/s√kg

f' = 132.81√M Hz/√kg

Since the frequency of the beat heard is 2 Hz,

f - f' = 2 Hz

So, 198 Hz - 132.81√M Hz/√kg = 2 Hz

132.81√M Hz/√kg = 198 Hz - 2 Hz

132.81√M Hz/√kg = 196 Hz

√M Hz/√kg = 196 Hz/138.81 Hz

√M/√kg = 1.476

squaring both sides,

[√M/√kg] = (1.476)²

M/kg = 2.178

M = 2.178 kg

M ≅ 2.18 kg

Concept Simulation 4.1 reviews the central idea in this problem. A boat has a mass of 4490 kg. Its engines generate a drive force of 4520 N due west, while the wind exerts a force of 890 N due east and the water exerts a resistive force of 1210 N due east. Take west to be the positive direction. What is the boat's acceleration, with correct sign

Answers

Answer:

-0.54m/s²

Explanation:

According to Newton's second law of motion

F = ma

Force = mass * acceleration

Given

Mass m = 4490kg

Take the sum of forces

Sum of force along the east = 890+1210 = 2100N

Sum of forces along the west = -4520N

Net force = -4520+2100

Net force = -2420N

Acceleration = Net force/Mass

Acceleration = -2420/4490

Acceleration = -0.54m/s²

Hence the boat acceleration is -0.54m/s²

The low-frequency speaker of a stereo set has a surface area of and produces 1W of acoustical power. What is the intensity at the speaker

Answers

Answer:

      I =  [tex]\frac{1}{4\pi \ r^2}[/tex]

we see the intensity decreases with the inverse of the distance squared

Explanation:

Intensity is defined as power per unit area,

           I = P / A

in this case we have that the sound is emitted in a spherical form therefore the area is

           A = 4 pi r2

therefore the intensity is

          I =  [tex]\frac{1}{4\pi \ r^2}[/tex]

as we see the intensity decreases with the inverse of the distance squared

Explain the difference in the function of plant and animal cell organelles, including cell membrane, cell wall, nucleus, cytoplasm, mitochondria, chloroplast, and vacuole

Answers

Answer:

Plant cell Animal cell

2. Have a cell membrane. 2. Have no chloroplasts.

3. Have cytoplasm. 3. Have only small vacuoles.

4. Have a nucleus. 4. Often irregular in shape.

5. Often have chloroplasts

containing chlorophyll. 5. Do not contain plastids.

Which two statements below are central ideas in the article, "How Gross Is Your Bathroom"?
a. What you can't see might hurt you.
b. Different numbers of bacteria are hiding on various surfaces around your bathroom.
c. Most bacteria are harmless, and some are even good for you.
d. Your bathroom is filled with germs that you might not know anything about, including
viruses and bacteria.

Answers


b. Different numbers of bacteria are hiding on various surfaces around your bathroom.

d. Your bathroom is filled with germs that you might not know anything about, including
viruses and bacteria.

Plzz answer correctly

Answers

“X”. Is the answer. Tell me if you got it correct

Two people each do 100 joules of work by pushing a crate to the right. During this process, 50 joules of heat is generated from the
friction between the floor and the crate. How much energy is gained by the crate during this process?

Answers

Because of friction, net work on the crate is less. ∆KE = Net work = net force x distance = (100 N – 70 N)(10 m) = 300 J.

how could you get the pancake to cook faster without burning it?

Answers

Answer:

put it in medium to full heat and set an alarm so that it doesn't burn

Answer:

when you're cooking  your pancakes, use clarified butter and cook on medium heat. 

4. What is the acceleration of the car in each section?
b
с
d
a

Answers

Answer:

0-4 acceleration comes at 12 m/s where (B) stagnates at 12 m/s and remains for 4 seconds (C) is breaks being activated slowing the car to 6 m/s in 2 seconds and (D) over the course of 4 seconds brings the car to 10 m/s.

Explanation:

Acceleration is the slope of a velocity time graph.

Units are all m/s ^2

a) 3
b) 0
c) -3
d) 1 - doesn’t LOOK like a slope of 1, but if you look carefully at the Y axis, you can see it rises by 4 rather than 2.

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0 m/s , and the distance between them is 52.0 m . After t1 = 3.00 s , the motorcycle starts to accelerate at a rate of 4.00 m/s^2. The motorcycle catches up with the car at some time t2.

Required:
a. How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car?
b. How far does the motorcycle travel from the moment it starts to accelerate (at time t1) until it catches up with the car (at time t2)?

Answers

Answer:

a) 5.09 seconds

b) 107.07 meters

Explanation:

a) As we know

[tex]t_2- t_1 = \sqrt{\frac{2 X}{a} }[/tex]

Substituting the given values we get

[tex]t_2 - t_1 = \sqrt{\frac{2 * 52}{4} } \\t_2 - t_1 = 5.09[/tex]

It takes 5 .09 s for the motorcycle to accelerate until it catches up with the car

b)

[tex]X_{t`2} = v_i \sqrt{\frac{2X}{a} } + 0.5 a\sqrt{\frac{2X}{a} }\\X_{t`2} = (v_i + 0.5 a) \sqrt{\frac{2X}{a} }\\X_{t`2} = ( 19 + 2) \sqrt{\frac{2* 52}{4} }\\X_{t`2} = 21 * 5.09\\X_{t`2} = 107.07[/tex]

How do objects with the same charger interact

Answers

The interaction between two like-charged objects is repulsive. ... Positively charged objects and neutral objects attract each other; and negatively charged objects and neutral objects attract each other.

Answer:

they repel with each other. object of like charges repel while object of opposite charges attracts with each other.

Need help on another homework question

Rick places the blue lens of one pair of 3D glasses over the red lens of another pair. He then looks through both lenses at the same time. What color will he see?

A. blue
B. black
C. red
D. white

Answers

Black
Explanation : I've tried

Answer:

a

Explanation:

Earth's magnetic field is approximately 1/2 gauss, that is 50 micro-tesla because the SI field unit of a tesla is 10,000 gauss. Earth's north geographic pole is close to its south magnetic pole, and magnetic field is directed from the north to the south poles of a magnetic dipole so it goes from Earth's south geographic pole towards its north. Suppose you have wire carrying a large DC current from the south wall of a building to its north wall and that it is horizontal, on the floor. If Earth's field is parallel to the ground and does not dip, what force if any would the wire experience

Answers

Answer:

F = 0

Explanation:

The magnetic force is described by two expressions

for a moving charge

          F = q v x B

for a wire with a current

         F = I L xB

bold indicates vectors

let's write this equation in module form

         F = I L B sin θ

where the angle is between the direction of the current and the direction of the magnetic field

In this case they indicate that the cable goes from the South wall to the North wall, so this is the direction of the current

The magnetic field of the Earth goes from the south to the north and in this part it is horizontal

Therefore the current and the magnetic field are parallel, the angle between them is zero

           sin 0 = 0

consequently the magnetic force is zero

            F = 0

Which of the following is the BEST explanation for why oceans have two different types of currents?

Answers

Answer:

sddww

Explanation:

szsswa

What can you conclude about the electric potential and the field strength at the two noted points between the two electrodes? What can you conclude about the electric potential and the field strength at the two noted points between the two electrodes? The potential is greater at point B; the field strength is greater at point A. The potential is greater at point B; the field strength is greater at point B. The potential is greater at point A; the field strength is greater at point B. The potential is greater at point A; the field strength is greater at point A

Answers

Answer: The potential is greater at point B; the field strength is greater at point B.

Explanation:

The thing that can be concluded about the electric potential and the field strength at the two noted points between the two electrodes is that the potential is greater at point B; the field strength is greater at point B.

We should note that electrodes are used in the provision of current which typically takes place through a nonmetal objects.

In which direction does Earth’s gravitational force act?
a. opposite the direction of motion
b. downward toward the center of Earth
c. upward away from the center of Earth
d. in the direction of motion

Answers

B downward
Earth's gravitational force acts in what direction? Earth's gravity acts downward toward the center of Earth. Gravity causes objects to accelerate downward, whereas air resistance acts in the direction opposite to the motion and reduces acceleration.

Which describes increasing the efficiency of an energy resource?
switching from coal to solar

making cars that get better gas mileage

using biomass instead of coal

turning off the lights when leaving a room

Answers

Answer:

making cars that get better gas mileage

Answer: Making cars that get better gas

Explanation: Gradpoint

Fill in the question

Answers

4) 55m
5) 30 seconds
6) 1.83m/s

A boat is moving in a river with a current that has speed vW with respect to the shore. The boat first moves downstream (i.e. in the direction of the current) at a constant speed, vB , with respect to the water. The boat travels a distance D in a time tOut . The boat then changes direction to move upstream (i.e. against the direction of the current) at a constant speed, vB , with respect to the water, and returns to its original starting point (located a distance D from the turn-around point) in a time tIn .
1) What is tOut in terms of vW, vB, and D, as needed?
2) What is tIn in terms of vW, vB, and D, as needed?
3) Assuming D = 120 m, tIn = 170 s, and vW = 0.3 m/s, what is vB, the speed of the boat with respect to the water?
4) Once again, assuming D = 120 m, tIn = 170 s, and vW = 0.3 m/s, what is tOut, the time it takes the boat to move a distance D downstream?

Answers

Answer:

Explanation:

Current  has speed vW with respect to the shore and boat has speed vB with respect to water or current so speed of boat  with respect to shore

vW + vB .

Distance travelled with respect to shore by boat = D

time ( tout ) = distance / speed with respect to shore

tOut = D / ( vW + vB )

When the boat travels upstream , its velocity with respect to shore

= ( vB - vW ) , vB must be higher .

tin = D /  ( vB - vW )

3 ) tin = D /  ( vB - vW )

170 = 120 / (vB - 0.3 )

(vB - 0.3 ) = 12 / 17 = .706

vB = 1.006 m / s

4 )

tOut = D / ( vW + vB )

= 120 / ( .3 + 1.006 )

= 92.26 s

Time taken by a body is ratio of the distance traveled by it to the speed.

1)The expression for [tex]t{out}[/tex] is,

          [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2)The expression for [tex]t{in}[/tex] is,

           [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

3) The speed of the boat with respect to the water is 1.006 m/s. 4) The time it takes the boat to move a distance D downstream is 91.9 seconds.

What is upstream and downstream speed?

The net speed of the boat is upstream speed. The difference of the speed of the boat is downstream speed.

Given information-

The speed of the boat with respect to shore is [tex]v_w[/tex].

The speed of the boat in downstream with respect to water is [tex]v_B[/tex].

The distance traveled by the boat is [tex]D[/tex] in time [tex]t_{out}[/tex].

Time taken by a body is ratio of the distance traveled by it to the speed.

1) The net speed of the boat is upstream speed.As the distance traveled by the boat is [tex]D[/tex] in time [tex]t_{out}[/tex]. Thus,

        [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2) The difference of the speed of the boat is downstream speed.As the distance traveled by the boat is [tex]D[/tex] in time [tex]t_{in}[/tex]. Thus,

        [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

Now the distance is 120 m, the value of [tex]t_{in}[/tex] is 170 s and [tex]v_W[/tex] 0.3 m/s. Thus,

3) The speed of the boat with respect to the water-Put the values in the formula obtains from the 2nd part of the problem,

         [tex]170=\dfrac{120}{v_B-0.3}\\v_B-0.3=\dfrac{120}{160} \\v_B=0.706+0.3\\v_B=1.006[/tex]

Hence the speed of the boat with respect to the water is 1.006 m/s.

4) The time it takes the boat to move a distance D downstream-Put the values in the formula obtains from the 1st part of the problem,

          [tex]t_{out}=\dfrac{120}{1.006+0.3}\\t{out}=\dfrac{120}{1.306} \\t{out}=91.9[/tex]

Hence the time it takes the boat to move a distance D downstream is 91.9 seconds.

Thus,

1)The expression for [tex]t{out}[/tex] is,

          [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2)The expression for [tex]t{in}[/tex] is,

           [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

3) The speed of the boat with respect to the water is 1.006 m/s. 4) The time it takes the boat to move a distance D downstream is 91.9 seconds.

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What is the mass of 9.11 moles of
ozone, 03?

Answers

O3 has molar mass of 48 g/mol

Therfore I mole weighs 48 grams

9.11 moles of ozone has a mass of 9.11 x 48grams = 437grams = 0.437kg

The molecular mass of [tex]$O_{3}[/tex] is 0.43728kg

What is molecular mass?

Molecular mass exists as a number equivalent to the totality of the atomic masses of the atoms in a molecule.  The totality of the atomic masses of all atoms in a molecule is established on a scale in which the atomic masses of hydrogen, carbon, nitrogen, and oxygen exist 1, 12, 14, and 16, respectively.

To compute the Molecular Mass of [tex]$O_{3}[/tex]

Atomic mass of oxygen(O) = 16

As [tex]$O_{3}[/tex] contains 3 atoms,

The molecular mass of [tex]$O_{3}[/tex]

= (16 x 3) = 48g/mol

Hence the mass of 9.11 moles O3

= 9.11 mol x 48g/mol

= 437.28g

= 0.43728kg

Therefore, the molecular mass of [tex]$O_{3}[/tex] is 0.43728kg

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which of the following is not a feature of parliamentary democracy and the rule of law see freedom of association in the freedom of speech is separation of powers Write the equation for the acid dissociation, write the Ka expression, solve for Ht concentration, then do an ICE chart. Put the values into the Ka expression (the one you solved for Ht and find Ht, convert to pH and input that to 2 decimal place. Or use the Henderson-Hasselbalch equation: pH = pka, + log ( Base/Acid) Calculate the pH of a buffer solution consisting of 0.39 M HA (Ka = 8.8 x 10^-6) and 0.2 M NaA. The ratio of the measure of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side. Help me please!! The Moon's orbit of Earth is due to the attractive forces explained by Newton's Universal Law of Gravitation. Whatobservable phenomena naturally result from the Moon's orbit?tidesseasonssolar flaresvolcanic eruptions What is NOT one of the impacts of Du Bois's use of parallel structure?O He shows higher races are associated with ignorance.He shows higher races are associated with culture.He shows "lower" races are associated with barbarismHe shows "lower" races are associated with crime. 1s2, 2s2, 2p6, 3s2, 3p6, 4s2After this atom gains or loses valence electron/s, what will the oxidation number be? A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects. 1. The P-value of her test is:_____.a. 0.4082.b. 0.0918.c. 0.0400.d. less than 0.0002.2. Which of the assumptions for inference about a proportion are violated?a. the data are an SRS from the population of interest.b. the population is at least 10 times as large as the sample.c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.d. there appear to be no violations.3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.a. 0.060.026.b. 0.060.051.c. 0.0770.026.d. 0.0770.051. Before 1860, some Northerners were abolitionists and some Northerners just wanted to stop the spread of slavery throughout the Union. Explain the difference behind the two ideas. How do I solve this4+(3.7-x)=1.72 belief systems in a specific culture can center around what? 1. Dad and my brother like to play ball witheach otherone anotherOnone of them Slope of 4,-9 and 8,-3 simplify the expression 4x+2-1/2x need help to find Xthank you What is evolution?1. Quick change in an organism to eat better2. A change in the environment3. Gradual change in the environment due to global warming4. Gradual change of a species to be better suited for the environment Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6 Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 3 hours to do the same job.Working together, how long will it take them to fill the order? What is the solution to x+4y=-1 and 2x + 5y=10?????? Read the following description of a relationship:Every New Year's Day, Cody brings 15 candies for each of his grandchildren and12 more candies for the adults to share.Let g represent the number of Cody's grandchildren and c represent the totalnumber of candies he brings.Find the value of c when g = 7.C= ? Which word is misused? 1) The Nazi Party used propaganda not only to establish it's power and increase it's influence, but also arousing the wartime support of the people. a. Nazib. itsc. propaganda d. establishe. support