Suppose you are constructing a 95% confidence interval for the mean of a single sample, whose population standard deviation is known to be σ = 5. You calculate the sample size with some specified width (error) E. (a) Reducing your confidence level to 80%, and reducing your original width (error) E by a third ( 1 3 ), how much bigger will the new sample size be compared to the first sample size above? (Hint: find the scaled size using algebra). b) Suppose instead that your increase the sample size by a factor of 10 and you allow the confidence level to be 85%, how will the width (error) have scaled in size compared to the original width (error) E?

Thus, 5 meters wide and 15 meters long would be the measurements for a scale model of the parking lot at a size of 1:10.

Thus, We multiply the real dimensions by the scale factor to determine the scale model's dimensions. In this instance, the parking lot is 50 m long and 150 m wide.

As for the width: Actual width / Scale Factor determines the scale model's width.

Scale model width = 50 m / 10.

The scale model's width is 5 meters.

Actual length / Scale Factor determines the scale model's length.

Scale model length is 150 m / 10.

The scale model is 15 meters long.

Thus, 5 meters wide and 15 meters long would be the measurements for a scale model of the parking lot at a size of 1:10.

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The ripe fruits is around the same size as the colored part of the thumb are grape and cherry. Hence, option (C) is correct.

Fruit is a blooming plant's fleshy or dry, fully developed ovary that contains a seed or seeds. As a result, apricots, bananas, and grapes are all considered to be fruits as well as bean pods, maize grains, tomatoes, cucumbers, and (in their shells) acorns and almonds. However, the term is typically only used to describe matured ovaries that are delicious and either pulpy or succulent.

A developed ovary and its related elements constitute a fruit in terms of botany. It often contains seeds that have grown from the encased ovule after fertilization, though parthenocarpy, or growth without fertilization, is also known.

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Rotational and rollover types of motor vehicle collisions present the greatest potential for multiple impacts, therefore the correct answer is option D.

It is a type of Collison for which the momentum, as well as the kinetic energy after and before the collision, is constant. there is no loss of energy in a perfectly elastic collision.

The likelihood of multiple impacts is highest in rotational and rollover motor vehicle collisions.

Thus, the correct answer is option D.

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The question is incomplete, the complete question is,

Which types of motor vehicle collisions present the greatest potential for multiple impacts?

A. Lateral and rollover

B. Frontal and rotational

C. Rear-end and rotational

D. Rotational and rollover

Answer:This is the Difference Between a Hypothesis and a Theory. ... In scientific reasoning, a hypothesis is an assumption made before any research has been completed for the sake of testing. A theory on the other hand is a principle set to explain phenomena already supported by data.

Explanation:

To calculate the change in entropy during the condensation of steam to water, we can use the formula: ΔS = m × Δs where ΔS is the change in entropy, m is the mass of the substance undergoing the change, and Δs is the specific entropy change.

In this case, we have 1.0 kg of steam undergoing condensation. The specific entropy change for water vapor condensing to liquid water at its boiling point is given as:
Δs = 2257 J/(kg·K)
Therefore, the change in entropy can be calculated as:
ΔS = 1.0 kg × 2257 J/(kg·K)
ΔS = 2257 J/K
So, the change in entropy during the condensation of 1.0 kg of steam to water at 100°C is 2257 J/K.

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the weaker the gravitational force.

because G=km1m2/r^2

Which shows, the greater the distance the weaker the gravitational force.

Answer:

Explanation:

The Earth pulls the bicycle downward through the force of gravity, and, in response, the bicycle pulls up on the Earth with a force of equal magnitude. Gravity "pushes" the Earth into the road, which pushes up with an opposite force, canceling gravity. Thus, action reaction forces do not cancel each other.

Answer:

speed

Explanation:

according to your question, your answer is speed

Answer:

To answer your question:

a) The formula to calculate the number of wavelengths within a laser pulse is:

number of wavelengths = pulse duration / wavelength

Plugging in the values given in the question, we get:

number of wavelengths = 38 ps / 1062 nm

Converting picoseconds to seconds and nanometers to meters, we get:

number of wavelengths = 38 x 10^-12 s / 1062 x 10^-9 m

number of wavelengths = 0.0358

Therefore, there are approximately 0.0358 wavelengths within the laser pulse.

b) To fit only one wavelength, the pulse duration would need to be equal to the wavelength. The formula to calculate the pulse duration is:

pulse duration = wavelength

Plugging in the value given in the question, we get:

pulse duration = 1062 nm

Converting nanometers to picoseconds using the speed of light ©, we get:

pulse duration = wavelength / c

pulse duration = 1062 x 10^-9 m / 3 x 10^8 m/s

pulse duration = 3.54 x 10^-12 s

Therefore, the pulse would need to be approximately 3.54 ps long to fit only one wavelength.

I hope this helps

Answer:

The answer for cos(30°) is 0.87

(a) As σ is increased, The minimum  angle will be "19.2°".

(b) The acceleration will be "0.91 m/s²"once the box has began to move.

(c) The speed will be "3 m/s" as the box slid a distance 4.7 m along the loading map.

According to the question,

Mass = 25.0 kg

Kinetic friction = 0.25

Coefficient of static friction = 0.35

(a) We know,

⇒ static friction = mg sine

⇒ mg cosine * u = mg sine

then,

tan A = u = 0.35

a = 19.2

Therefore, as α is increased,  the minimum angle at which the box starts to slip is 19.2°.

(b) We know that:

Kinetic friction = mgCos19.2 * 0.25

                        = 2.31m

and,

Net force downwards = mgSin19.2 -  mgCos19.2* 0.25

By substituting the values, we get

                                        = m(3.22-2.31)

                                        = 0.91m/s²

Therefore, As this angle, the acceleration once the box has begun to move at 0.91 m/s².

(c) since the box is sliding at a distance of 4.7 meter:

Thus,

The speed will be:

→ \(v^{2} - u^{2} + 2as\)

\(0 + 2* 0.91* 5\)

= 9.21

\(v = 3m/s\)

Therefore, at this angle, at 3m/s will the box be moving after it has slid a distance 4.7m along the loading ramp

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Answer:

Mass Kinetic Energy and Jules

Explanation:

The train in question is  big and heavy and a car is decently heavy but say a train moving at 55 mph can plow through a car and a car driving at 55mph driving at a train will be stopped dead in its tracks. This is because newtons laws of motion specifically an object in motion will stay in motion unless its opposed. The train also has a payload behind it meaning it hurts with force while a car doesn't have to much mass behind it. The train takes loner to stop for as it's acceleration as well as it's deceleration are very slow because its huge and takes a lot of force to stop it while a car is very centralized and compact when it comes to weight and its brakes are usually effective at stopping at 55 mph in about 2 to 6 seconds while a train might stay moving for a good 35 seconds. The force behind the train is immense for as even if the wheels don't spin at all the train will still move since the force behind it is great and a cars tires have a lot of grip and not a lot mass which plays into the force the car has so it can stop simply.

A) The value of the level of the tank in steady state is approximately 194.59 meters.

To determine the value of the level of the tank in steady state, we can use the principle of continuity, which states that the flow rate into the tank is equal to the flow rate out of the tank.

In this case, the input flow rate is given as 40.8 m^3/s. Since we are assuming steady state, the flow rate out of the tank must also be 40.8 m^3/s.

The hydraulic resistance (R) is given as 4.2, and the cross-sectional area of the tank (A) is given as 1.7 m^2.

Using the equation for hydraulic resistance:

R = (1/A) * (sqrt((2g * h)/ρ))

where g is the acceleration due to gravity and ρ is the density of the liquid, we can rearrange the equation to solve for h (the level of the tank):

h = (R * A^2 * ρ) / (2 * g)

Substituting the given values:

h = (4.2 * (1.7^2) * 1593.9) / (2 * 9.81)

h ≈ 194.59 meters

Therefore, the value of the level of the tank in steady state is approximately 194.59 meters.

B)The required value of the inlet flow rate for a steady-state level of 3.9 meters is approximately 0.042 m^3/s.

To determine the required value of the inlet flow for a steady-state level of 3.9 meters, we can rearrange the equation derived in part A to solve for the inlet flow rate (Q):

Q = (2 * g * h) / (R * A^2 * ρ)

Substituting the given values:

Q = (2 * 9.81 * 3.9) / (4.2 * (1.7^2) * 1593.9)

Calculating the value:

Q ≈ 0.042 m^3/s

Therefore, the required value of the inlet flow rate for a steady-state level of 3.9 meters is approximately 0.042 m^3/s.

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If a tube open at one end and closed at the other initially produces a fundamental frequency of 350 Hz, and then the closed end is opened, resulting in a new fundamental frequency of 750 Hz, the correct answer would be option (d) 1400 Hz.

The fundamental frequency of a tube that is closed at one end and open at the other is determined by the length of the tube. When the tube is closed at one end, it can only support odd harmonics, meaning that the fundamental frequency is the first harmonic. The fundamental frequency is inversely proportional to the length of the tube.

In this scenario, when the closed end is opened, the length of the tube effectively gets halved. Since the fundamental frequency is inversely proportional to the length, it will be doubled.

If the initial fundamental frequency is 350 Hz and it becomes 750 Hz when the closed end is opened, this indicates that the length of the tube has been halved. Thus, the new fundamental frequency after opening the closed end is twice the initial frequency, which is 350 Hz * 2 = 700 Hz.

However, it's important to note that none of the provided options match the correct answer. The correct answer based on the given information would be 700 Hz, not 1400 Hz as listed in the options.

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Answer:

all but biodeisel and batteries

Explanation:

well batteries are used to STORE energy not generate it

Answer:

79%

Explanation:

Energy expelled / Energy absorbed = 415/525 = 0.79 = 79%

In one cycle, an engine burning a mixture of air and methanol absorbs 525 J and expels 415 J , then the efficiency of engine would be 20.95 %

The efficiency of an Indian can be defined as the ratio of the total useful work done by the engine to the total heat absorbed by the engine
It can be represented in the form of percentage or in terms of fraction as well.

In general the efficiency of an engine represented by the greek symbol η.

The mathematical expression for the efficiency of an Indian can be presented as follows

Efficiency = useful work done /total heat absorbed

Total useful work = total heat absorbed - total heat rejected

For the given problem,An engine burning a mixture of air and methanol absorbs 525 Jules and expel 415 Jules

The total useful work done by the engine = 525 J - 415 J
                                                                       =110 J

η = 110 / 525

  =0.2095

For getting the percentage we have to multiply the fraction with 100.

Thus ,efficiency of the engine comes out to be 20.95%.

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Answer:

Since friction is a force it is measured in newtons

Hope this helps

Answer:

Explanation:

ave speed is always (frequency) x (wavelength)

Speed  =  (450 /sec) x (0.52 m)

=      234 m/sec .

Given,

pH of bleach = 12

pH of detergent= 8 to 10

pH of eye drops = 7

pH of lemon juice 1 to 3

pH of tea = 4 to 6

On rearranging samples from most acidic to most basic,

1. Lemon juics

2. Tea

3. eye drops

4. detergent

5. Bleach

Answer:

When a proton is placed directly in the path of the proton cannon, it will experience a strong electromagnetic force. The proton cannon emits a beam of protons at high energy and velocity. When the proton in the path of the cannon interacts with the beam, there will be a collision between the two protons.

During the collision, the protons may undergo a process called scattering, where they change direction and momentum. The exact outcome of the collision depends on the energy and angle of the incoming proton, as well as the properties of the target proton. It is possible that the protons may scatter off each other, transferring energy and momentum in the process.

In some cases, the collision may result in the absorption of the incoming proton by the target proton. This can lead to the formation of a more massive particle or the emission of other particles. The specifics of the interaction will depend on the energy and conditions of the proton cannon and the characteristics of the protons involved.

Overall, placing a proton directly in the path of a proton cannon will result in a collision and potential scattering or absorption of the protons, causing changes in their momentum and possibly leading to the creation of other particles.

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Answer:

One way to distinguish between samples of metal and nonmetal with the help of a hammer is by conducting a simple test called the "ring test." This test involves striking the sample with the hammer and listening for the sound it makes. Metals typically produce a clear, ringing sound when struck, while nonmetals produce a dull, thudding sound. Additionally, you can use a magnet to test if the sample is metal or not. If the sample is attracted to the magnet, it's likely to be a metal, if not it's likely to be a nonmetal.

The average speed of the train over the whole trip is 120 km/h

To find the average speed of the train over the whole trip, we need to use the formula:

Average speed = total distance / total time

Since the train travels at 100 km/h on the way to station B and 150 km/h on the way back to station A, we need to calculate the harmonic mean of  two speeds:

Harmonic mean =\(2 / [(1/100) + (1/150)] = 2 / (0.01 + 0.00667)\) = 120 km/h

Therefore, the average speed of the train over the whole trip is 120 km/h. This means that if the train traveled a distance of 240 km between station A and station B, the total time taken for the round trip would be 2 hours.

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Answer:

Attraction

Explanation:

Nucleus has a positive charge. Electron has a negative charge. Opposite charges attract and equal charges repel

The electrical interaction between the nucleus and the orbital electron is a force of attraction.

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Answer:

15.24 m/s in the downward direction

Explanation:

Given that the initial upward velocity of the ball is 24 m/s.

Assuming that the upward direction is positive.

As gravitational force acts in the downward direction and the direction of acceleration is the same as the direction of force, so the acceleration due to gravity will be negative.

Now, from the equation of motion, when an object is launched with initial velocity u, the final velocity, v, of an object after time t is v=u+at.

Given that u=24 m/s, t=4 seconds, \(g=-9.81 m/s^2\).

So, the final velocity is

\(v= 24 + (-9.81)\times 4 \\\\\Rightarrow v= 24-9.81\times 4\)

\(\Rightarrow v=-15.24\) m/s

Here, the negative sign means the final velocity is in the downward direction.

Hence, the velocity after 4 seconds is 15.24 m/s in the downward direction.

Answer:

Explanation:

The time taken can be found by using the formula

\( t = \frac{d}{v} \\ \)

d is the distance

v is the velocity

From the question we have

\(t = \frac{3.5}{4.8} \\ = 0.72916...\)

We have the final answer as

Hope this helps you

Answer:

His third law states that for every action or force in nature there is an equal and opposite reaction.

Explanation:

The heavier the books get, the harder it is for Molly to exert enough force to move the cart.

I hope this helps!!!!!!   Please mark me brainliest!!

Answer:

No.

Explanation:

There is no change in gravitational force based on the sizes remaining the same. If there was a change in gravitational force the orbits of all planets would change.

Answer:

North star, its close to our solar system but not in it. hope this helps

The horizontal velocity of the shadow is -0.33 m/s

The given parameters;

The horizontal velocity of the shadow is relative to the horizontal velocity of the fly.

The horizontal velocity of the shadow is calculated as follows;

Vₓ = V₀Cosθ

Vₓ = (0.36)Cos(204)

Vₓ = (0.36)(-0.9135)

Vₓ = -0.33 m/s

Thus, the horizontal velocity of the shadow is -0.33 m/s

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