A net force of 200 N acts on a 100-kg boulder, and a force of thesame magnitude acts on a 130-g pebble. How does the rate of changeof the boulder’s momentum compare to the rate of change ofthe pebble’s momentum?
a. greater than
b. less than
c.equal to

Answers

Answer 1

The rate of change of the boulder's momentum is equal to the rate of change of the pebble's momentum. with force acting of 200 N.


1. According to Newton's second law, Force (F) = mass (m) × acceleration (a).
2. Rearrange the equation to find acceleration: a = F/m.
3. Both the boulder and the pebble experience the same force (F = 200 N).
4. The mass of the boulder is 100 kg, and the mass of the pebble is 0.13 kg (130 g = 130/1000 kg).
5. Calculate the acceleration for both objects: a_boulder = 200 N/100 kg = 2 m/s²,

a_pebble = 200 N/0.13 kg = 1538.46 m/s².
6. Momentum is given by the equation: momentum (p) = mass × velocity (v).
7. The rate of change of momentum is the derivative of momentum with respect to time: dp/dt = m × dv/dt = m × a.
8. Calculate the rate of change of momentum for both objects:

dp/dt_boulder = 100 kg × 2 m/s² = 200 kg m/s², dp/dt_pebble = 0.13 kg × 1538.46 m/s² = 200 kg m/s².

So, the rate of change of the boulder's momentum is equal to the rate of change of the pebble's momentum (c.equal to).

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Related Questions

which of the following has least mass
2 grams atom of nitrogen
3×10^23 atoms of carbon
1 mole of S
7.0g of Ag

Answers

Answer is 1 molecule of S

_____ is the sum of all potential and kinetic energy.

Group of answer choices

Law of Conservation of Energy

Gravitational Potential Energy

Stored energy

Mechanical Energy

Answers

Answer:

mechanical energyis the sum of all potential and kinetic energy.hope it helps!

Suppose you jump straight up with a velocity of 3 m/s. How high could you jump on the moon, where the acceleration due to gravity is about 1.6 m/s/s?

Answers

Answer:The maximum height you could jump on the moon with a velocity of 3 m/s is 4.5 meters.

Explanation:

To calculate the maximum height that you could jump on the moon, you can use the following formula:h = (v^2) / (2 * g)where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity. On the moon, g is approximately 1.6 m/s^2. Substituting the values, we get:h = (3^2) / (2 * 1.6) = 4.5 m

So the maximum height you could jump on the moon with a velocity of 3 m/s is 4.5 meters.

1. What is the angle of inclination of the Earth’s axis?
2. Which hemisphere is tilted toward the Sun?
3. Which hemisphere is tilted away from the Sun?
4. Which hemisphere receives greater amount of sunlight?
5. Why do places that receive direct rays of the Sun have warmer temperature?

1. What is the angle of inclination of the Earths axis?2. Which hemisphere is tilted toward the Sun?3.

Answers

Answer:

What is the angle of inclination of the Earth’s axis?

The earth's axis of rotation is tilted 66.5 degrees with respect to its orbital plane around the sun and its axis of rotation is inclined 23.5 degrees from the perpendicular, with respect to this plane. The tilt of the earth affects the angle between the sun beam and the normal over a surface.

Which hemisphere is tilted toward the Sun?

Earth orbits at an angle, so half the year, the Northern Hemisphere is tilted toward the Sun — this is summer in the Northern Hemisphere, and winter in the Southern Hemisphere. The other half of the year, the Northern Hemisphere is tilted away from the Sun, creating winter in the north and summer in the south.

Which hemisphere is tilted away from the Sun?

When the Earth's axis is tilted toward the sun for the Northern Hemisphere, the people in the Northern Hemisphere experience summer, while at the same time, the Southern Hemisphere is tilted away from the sun and the people there experience winter.

Which hemisphere receives greater amount of sunlight?

The Northern Hemisphere receives the maximum intensity of the sun's rays, while the angle of sunlight decreases in the Southern Hemisphere.

Why do places that receive direct rays of the Sun have warmer temperature?

When the sun's rays strike Earth's surface near the equator, the incoming solar radiation is more direct (nearly perpendicular or closer to a 90˚ angle). Therefore, the solar radiation is concentrated over a smaller surface area, causing warmer temperatures.

Here is your answer please mark as brainlest answer!!

Answer:

xfxy naa

Explanation:

dhdhuciffbfjfufu

Match the following moves to the correct total distance and displacement of the moves.

A) Move 12 m west and then 8 m east
B) Move 9 m west and then 16 m east
C) Move 10 m east and then 12 m west
D) Move 5 m east and then 12 m east

1) Displacement is 17 m
east; distance is 17 m
2) Displacement is 2 m west; distance is 22 m
3) Displacement is 7 m east; distance is 25 m
4) Displacement is 4 m west; distance is 20 m

Match the following moves to the correct total distance and displacement of the moves.A) Move 12 m west

Answers

Answer:

A=4

B=3

c=2

D=1

Explanation:

since the person moving in opposite direction so displacement =distance in east/west - distance in west/east

1. What is the pull that all objects exert on each other?

2. What is a push or pull that acts on an object?

15 points I need these 2 answers please ?

Answers

Number one 1.

The downward pull on the object is due to gravity. is the force that objects exert on each other because of their masses. You are familiar with the force of gravity between Earth and objects on Earth. Gravity is present not only between objects and Earth, however.

Number two 2

A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. When the interaction ceases, the two objects no longer experience the force.

Answer:

1. gravitational pull

2.  force

Explanation:

a 2.00 kg body is attached to a psring of negliglible mass and oscillates with a period 1.00s. the force constant of the spring is

Answers

Given that the mass of the body attached to the spring is 2.00 kg and the time period of oscillation is 1.00 s.

We can substitute these values in the above equation to obtain:

\(1.00 s = 2π√(2.00 kg/k)\)

Squaring both sides, we get: \(1.00 s^2 = 4π^2(2.00 kg/k)\)

Simplifying, we get: \(k = (4π^2)(2.00 kg)/(1.00 s^2)k = 4π^2 × 2.00 kN/m\)

Therefore, the force constant of the spring is \(4π^2 × 2.00 kN/m.\)

This value can be further simplified to 125.66 kN/m.

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How does an inclined plane increase force?

Answers

Acceleration will increase as the angle of incline does, and as a result, force will as well.

The gravitational force acting on the cart increases as the slope of the incline increases, causing it to accelerate more quickly.The ramp's steepness will cause an increase in inclination. As a result, the acceleration increases as the inclination angle increases. This acceleration causes the object to descend with greater speed.

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A potato is launched from the ground at an 73 degree angle with a velocity of 48 m/s.
What maximum height will the potato reach? (Answer in meters)
Type your answer...

Answers

Answer:

107.4 meters

Explanation:

gravity is 9.8m/s^2

max height = (velocity squared times sin squared angle) ÷ ( speed of gravity times 2 )

max height = (48 squared times sin of 73 squared) ÷ ( 9.8 times 2 )

is calcium bromide a element, compound, solution, or heterogenous mixture

Answers

Calcium Bromide, commonly known as calcium dibromide, is an ionic compound since the second element is a nonmetal, resulting in an ionic compound. It is referred to as a hydrated salt.

What is a Compound?

A chemical compound is a material made up of several similar molecules that include atoms from more than one chemical element and are kept together by chemical bonds. A molecule made up of only one element's atoms is hence not a compound.

What is a solution?

A solution is a form of homogenous combination made of two or more components in chemistry. A solute in such a combination is a material that has been dissolved in another substance known as a solvent.

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There is only one submission for this question. Consider a double-slit experiment. Match the equation with the appropriate type of interference. d sin theta = m lambda, m = 0.1.2. ... d sin theta = (m + 1/2)lambda m = 0.1.2. ...

Answers

The equation d sin theta = m lambda, where m can be any integer including 0, represents constructive interference in a double-slit experiment.

This equation is used to calculate the location of bright fringes on the screen where the two waves interfere constructively. On the other hand, the equation d sin theta = (m + 1/2)lambda, where m can also be any integer including 0, represents destructive interference in the double-slit experiment. This equation is used to calculate the location of dark fringes on the screen where the two waves interfere destructively.

matching equations to the appropriate type of interference in a double-slit experiment. The two equations provided are:

1. d sin theta = m lambda, m = 0, 1, 2, ...
2. d sin theta = (m + 1/2) lambda, m = 0, 1, 2, ...

The first equation (d sin theta = m lambda) represents constructive interference. Constructive interference occurs when the path difference between two waves results in a multiple of their wavelength (m lambda), leading to an enhancement of the wave amplitude at that point.

The second equation (d sin theta = (m + 1/2) lambda) represents destructive interference. Destructive interference occurs when the path difference between two waves results in a half-integer multiple of their wavelength ((m + 1/2) lambda), causing the wave amplitudes to cancel each other out at that point.

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Name three types of energy that exist in a large piece of charcoal on a grill in the sunlight. Explain why the charcoal has each type of energy.

Answers

Answer:

* thermal energy

potential energy,

potential energy

Explanation:

The ship has various types of energy,

* thermal energy. This energy is associated with the temperature of the coal, the hotter the greater its internal energy,

* potential energy                                                                              this energy is stored in the constituent atoms within carbon

* potential energy. It is due to the configuration of the system, in this case the sun heats the coal

PLZ HELP DUE IN 10MIN!!!!!!!!!The temperature of the water vapor (H2O) inside a pressure cooker increased from 295 K to 395 K. As
the sample is heated, the pressure of the water vapor went from 21.0 kPa to _____.

Answers

Answer:

p2=28.12KPa

Explanation:

Given data:

Initial temperature = 295 K

Final temperature= 395 K

Initial pressure = 21.0 KPa

Final pressure = ?

Solution:

According to Gay-Lussac Law,

The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

Mathematical relationship:

P₁/T₁ = P₂/T₂

Now we will put the values in formula:

21.0 KPa / 295 K = P₂/395 K

P₂ = 21.0 KPa× 395 K / 295 K

P₂ = 8295 KPa. K /295 K

P₂ = 28.12 KPa

Which metric unit would be best to measure the amount of coffee consumed by a person

Answers

Answer:

The preferred matric unit to measure any liquid is Litter

Answer: In milliliters

Cuz think about it, liters are used to measure barrels, huge bottles and etc. A cup of coffee is not measured in liters cuz that it's just too big of measurement, therefore, you would probably use milliliters. Hope this helps

what are the two factors that affect the force of gravitation?

Answers

Answer:

important – mass, and distance.

How do I find average velocity and average time

Answers

Answer:

x2- x1 / t2 - t1

Explanation:

To find this speed, you have to use the operation of: X2 -X1/ t2 -t1, we know that x is the distance, we do the operation and that would be our average speed

Explain the relationships you see in your data tables, and whether they agree with Newton’s Second Law of Motion (Fnet=ma).

Explain the relationships you see in your data tables, and whether they agree with Newtons Second Law

Answers

3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation

There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is  Force = mass * acceleration

All the given data in the table follows this relation except where

mass = 150 kg

a = 0.67 \(m/s^{2}\)

F (given ) = 100 N

calculated force = ma = 150 * 0.67 =  100.5 N

mass = 300 kg

force (given) = 100 N

a = 0.33 \(m/s^{2}\)

calculated force = ma = 300 * 0.33 = 99 N

rest of the data completely follow the equation F = ma

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Changing classes, you walk 20.0 m down a hall, turn left, and then walk 10.0 m down another hall. Define a coordinate system and sketch the displacement vector. Also, sketch the displacement components, and then determine the vector's magnitude.

Answers

Explanation:

Calculate position vectors in a multidimensional displacement problem. Solve for the displacement in two or three dimensions. Calculate the velocity vector 

For the systems whose closed loop transfer functions are given below, determine whether the system is stable, marginally stable or unstable. -5s +3 2s-1 a) T₁(s)=- 2s +1 (s+1)(s²-3s+2)' ; b) T₂ (s)=- (5+1)(s² + s +1)* ) ₂ (s) = (s-2)(s² +s+1)' 2s+1 d) T₁ (s)=- ; e) T,(s) = (s+1)(s² +1)' f)T(s)=- s+5 (s+3)(x²+4)² s-1 s(s² + s +1)

Answers

We aim to prove that the functions f(x) and x*f(x) are linearly independent for any non-constant function f(x). Linear independence means that no non-trivial linear combination of the two functions can result in the zero function.

By assuming the existence of constants a and b, we will demonstrate that the only solution to the equation a*f(x) + b*(x*f(x)) = 0 is a = b = 0. To begin, let's consider the linear combination a*f(x) + b*(x*f(x)) = 0, where a and b are constants. We want to show that the only solution to this equation is a = b = 0.

Expanding the expression, we have a*f(x) + b*(x*f(x)) = (a + b*x)*f(x) = 0. Since f(x) is a non-constant function, there exists at least one value of x (let's call it x0) for which f(x0) ≠ 0.Plugging in x = x0, we obtain (a + b*x0)*f(x0) = 0. Since f(x0) ≠ 0, we can divide both sides of the equation by f(x0), resulting in a + b*x0 = 0.

Now, notice that this linear equation holds for all x, not just x0. Therefore, a + b*x = 0 is true for all x. Since the equation is linear, it must hold for at least two distinct values of x. Let's consider x1 ≠ x0. Plugging in x = x1, we have a + b*x1 = 0.Subtracting the equation a + b*x0 = 0 from the equation a + b*x1 = 0, we get b*(x1 - x0) = 0. Since x1 ≠ x0, we have (x1 - x0) ≠ 0. Therefore, b must be equal to 0.

With b = 0, we can substitute it back into the equation a + b*x0 = 0, giving us a + 0*x0 = 0. This simplifies to a = 0. Hence, we have shown that the only solution to the equation a*f(x) + b*(x*f(x)) = 0 is a = b = 0. Therefore, the functions f(x) and x*f(x) are linearly independent for any non-constant function f(x).In conclusion, the functions f(x) and x*f(x) are linearly independent because their only possible linear combination resulting in the zero function is when both the coefficients a and b are equal to zero.

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An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 μF and 60.0 μF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. How much charge will be stored in eah capacitor after a long time has elapsed (capacitor one 2.4 x 10^-3 C) (capacitor 2 7.2 x 10^-3 C) and what will the total charge on both capacitors two time constants after the switch is closed? (8.3 x 10^-3)

Answers

Answer:

\(Q_t= 8.3 * 10^3 C\)

Explanation:

From the question we are told that:

Resistor \(R=1000ohms\)

Voltage \(v=120_V\)

Capacitance of c_1 \(c_1=20 \mu F\)

Capacitance of c_2 \(c_2=60 \mu F\)

Time \(t=0\)

Generally the equation for charges is mathematically given by

\(For C_1\\Charge\ on\ C_1 = CV = 20*120 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2.4 x 10^-3 C\\\)

\(ForC_2\\Charge on C_2 = 60*120 =7200 μC = 7.2 x 10^-3\\Charge on C_2 = 7.2 x 10^-3\)

Generally the equation for voltage across capacitors is mathematically given by

\(V_c(t)=V(1-e^{-t/RC})\)

\(C=C_1+C_2=80 \mu f\\t=2RC=>160000s\)

\(V_c(t)=120(1-e^{-(160000)/1000*(80)})\)

\(V_c(t)=103.7598\)

Generally the equation for charges is mathematically given by

\(Q1(t) = C1Vc(t)\\Q1(t) = 20*103.7598\\Q1(t) = 2075.196\\\\Q2(t) = 60*103.7598\\Q2(t) = 6225.6\\\)

Generally the equation for total charges \(Q_t\) is mathematically given by

\(Q_t=Q1(t)+Q2(t)\)

\(Q_t= 8.3 * 10^3 C\)

The Hubble Space Telescope is observing a distant Type 1 supernova with peak apparent magnitude 24. Using the light curve in your book (21.8) estimate how long after the peak brightness the supernova will become too faint to be seen.
- 270 days
- 1 year
- 125 days
- 50 days

Answers

Based on the light curve in the book, the distant Type 1 supernova will become too faint to be seen approximately 270 days after reaching its peak apparent magnitude of 24.

According to the given information, the peak apparent magnitude of the distant Type 1 supernova is 24. By referring to the light curve in the book, we can estimate the duration for which the supernova remains visible. Typically, the brightness of a supernova decreases exponentially over time.

While specific light curves may vary, a rough estimate can be made. Considering the options provided, the closest estimate is approximately 270 days. This means that after the supernova reaches its peak brightness, it will gradually fade and become too faint to be observed after around 270 days.

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A student designed an experiment to investigate how emergency thermal blankets are used to keep a person warm in a cold environment. The student heated water on a hot plate until it reached a temperature of 100 0C. Equal amounts of the water were quickly transferred to identical containers. One of the containers was wrapped with a layer of aluminum foil and the other with clear plastic wrap. A thermometer was inserted into each container so that they touched only the water. After one hour of observation, the temperature of the water in the aluminum wrapped container was higher than the plastic wrapped container. Specific Heat Material J/kg/0C Aluminum 900 Plastic 1410 Based on the specific heat data, is the observation consistent with predicted results? Why or why not?

Answers

From the experiment, it is clear that the data is not consistent with the specific heat data.

What are emergency thermal blankets?

Many times we could find ourselves out in the cold or in a very hot environment. Most especially when we find ourselves in the cold environment, there is the need to keep warm so that we can be able to maintain the normal body temperature.

The emergency thermal blankets is one of the materials that have been posited as able to maintain the temperature of  the body and it is made of cheap plastic or polyethylene material.

We know that the material that has the higher specific heat should loose heat more slowly but this is shown not to be the case here.

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describe the four steps involved in using the microscope (setup,
focusing, magnification control, and light intensity control). In
short paragraph

Answers

Using a microscope involves four steps: setup, focusing, magnification control, and light intensity control. Setup the microscope, focus the specimen, adjust magnification, and control the light intensity for optimal viewing.

Using a microscope typically involves four steps: setup, focusing, magnification control, and light intensity control.

1. Setup: Begin by placing the microscope on a stable surface and ensuring it is properly connected to a power source if needed. Adjust the microscope's position so that it provides a comfortable viewing angle and easy access to the specimen.

2. Focusing: Start with the lowest magnification objective lens and place the specimen on the stage. Adjust the coarse focus knob to bring the specimen into approximate focus. Then, fine-tune the focus using the fine focus knob until the details of the specimen become clear and sharp. Repeat this process when switching to higher magnification lenses.

3. Magnification Control: Rotate the nosepiece or choose the desired objective lens to change the magnification level. Lower magnification lenses provide a wider field of view, while higher magnification lenses offer greater detail but a narrower field of view. Adjust the focus each time the magnification is changed for optimal clarity.

4. Light Intensity Control: Adjust the light intensity using the microscope's condenser or brightness controls to optimize the illumination of the specimen. This can help enhance contrast and visibility. Use higher intensity for low magnification and lower intensity for higher magnification to avoid excessive glare or loss of detail.

By following these steps, one can effectively set up, focus, control magnification, and adjust light intensity to obtain clear and well-illuminated images while using a microscope.

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Sunidhi made a study chart about changes in states of

matter.

Which headings best complete the chart?

X

melting

sublimation

Y

freezing

deposition

X: Solid Directly to Liquid

Y: Liquid Directly to Solid

OX: Liquid Directly to Solid

Y: Solid Directly to Liquid

O X: Heat Is Released

Y: Heat Is Absorbed

X: Heat Is Absorbed

Y: Heat Is Released

Answers

Answer:

 freezing melting sublimating  x y

 x and

Explanation:

To drop a table of states of matter the best headings must be

table name: matter state

    freezing melting sublimation x y

This order goes from the solid state to the gaseous state, which is obtained by introducing heat into the system

Answer: D on edge

X: Heat Is Absorbed

Y: Heat Is Released

Explanation:

sublimation and melting are both absorbing heat(aka getting warmer)as they change state while freezing and deposition are releasing heat(aka getting colder)as they change state

unpolarized light of intensity i0 is incident on two filters. the axis of the first filter is vertical and the axis of the second filter makes an angle of

Answers

The intensity of the light transmitted by the second filter is \($\frac{i_0}{2} \cos^2(\theta)$\), which decreases as the angle \($\theta$\) between the axis of the second filter and the vertical increases. Option C is correct.

When an unpolarized light beam is incident on a polarizing filter, it gets polarized along the axis of the filter. In this case, the first filter has a vertical axis, so the light transmitted by the first filter will be vertically polarized with an intensity of i0/2, as half of the unpolarized light is absorbed by the filter.

Now, the vertically polarized light passes through the second filter, which has an axis inclined at an angle of \($\theta$\) with respect to the vertical. The intensity of the light transmitted by the second filter can be found using Malus' law, which states that the intensity of light transmitted through a polarizing filter is proportional to the square of the cosine of the angle between the polarization axis of the filter and the direction of the incident light.

Thus, the intensity of light transmitted by the second filter is given by:

I = \($\frac{i_0}{2} \cos^2(\theta)$\)

where I0/2 is the intensity of the vertically polarized light transmitted by the first filter.

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Complete question:

A beam of unpolarized light with intensity i0 passes through two filters. The first filter has a vertical axis, and the second filter has an axis inclined at an angle of $\theta$ with respect to the vertical. Which of the following statements is true?

A) The intensity of the light transmitted by the first filter is i0.

B) The intensity of the light transmitted by the second filter is i0.

C) The intensity of the light transmitted by the second filter is i0/2.

D) The intensity of the light transmitted by the second filter depends on the value of $\theta$.

If a vector C is defined to be the sum of these two vectors (i.e. C = A + B) which of the following are true about the magnitude of C? Choose all that apply.
Cmax = (1^2 + 10^2)^0.5
Cmin = 9
Cmax = 10
Cmin = 0
Cmin = (1^2 + 10^2)^0.5
Cmax = 11

Answers

Cmax = 11 and Cmin = 9

When two vectors are added, let's say a and b, their resultant, let's say c is given by

c = √(a² + b² + 2ab cosΦ)

where Φ is the angle between them.

Assuming in given question a = 10 and b =1

so resultant c = √(10² + 1² + 2×10×1× cosΦ)

for Cmax, cosΦ = 1, a and b are parallel

so Cmax = √(a² + b² + 2ab)

Cmax = a + b

Cmax = 10 + 1

Cmax = 11,

similarly for Cmin, cosΦ = -1, a and b are antiparallel

so Cmin = √(a² + b² - 2ab)

Cmin = a- b

Cmin = 10 - 1

Cmin = 9

Therefore, Cmax = 11 and Cmin = 9.

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Suppose that for a certain beverage company the volumes of soda cans are normally distributed with a mean of 12.01 fluid ounces and a standard deviation of 0.02 fluid ounces. a) If one soda can is randomly selected from the population, find the probability that its volume is less than 12 fluid ounces. Round to four decimal places. b) If a sample of size n = 32 soda cans is drawn randomly from the population, find the probability that the sample mean volume is less than 12 fluid ounces. Round to four decimal places. c) What do you think happens to the probability that the sample mean volume is less than 12 fluid ounces as larger and larger sample sizes are taken?

Answers

a. The probability that a randomly selected soda can has a volume less than 12 fluid ounces is approximately 0.3085

b. The probability that the sample mean volume is less than 12 fluid ounces, when a sample of size n = 32 is taken, is approximately 0.0023

c. The distribution of the sample mean becomes narrower and more concentrated around the population mean. Consequently, the probability of obtaining a sample mean less than 12 fluid ounces decreases because the sample mean is less likely to deviate significantly from the population mean.

a) Let X be the volume of a randomly selected soda can. We are given that the mean (μ) is 12.01 fluid ounces and the standard deviation (σ) is 0.02 fluid ounces.

We need to calculate P(X < 12). To do this, we standardize the variable using the z-score formula:

z = (X - μ) / σ

Substituting the given values, we have:

z = (12 - 12.01) / 0.02

= -0.5

Now, we can use a standard normal distribution table or calculator to find the probability associated with the z-score of -0.5. From the table, we find that the probability is approximately 0.3085.

b) When a sample of size n = 32 soda cans is drawn randomly from the population, the mean volume of the sample (denoted by X-bar) follows a normal distribution with the same mean (μ = 12.01 fluid ounces) but a smaller standard deviation (σ-bar) given by:

σ-bar = σ / sqrt(n)

Substituting the values, we have:

σ-bar = \(0.02 / \sqrt{(32)\)

= 0.02 / 5.6569

≈ 0.00354

Now, we need to calculate P(X-bar < 12). Again, we standardize the variable using the z-score formula:

z = (X-bar - μ) / σ-bar

Substituting the given values, we have:

z = (12 - 12.01) / 0.00354

≈ -2.8249

Using the standard normal distribution table or calculator, we find that the probability associated with the z-score of -2.8249 is approximately 0.0023.

c) As larger and larger sample sizes are taken, the probability that the sample mean volume is less than 12 fluid ounces tends to decrease. This is because as the sample size increases, the sample mean becomes a better estimate of the population mean. The larger the sample size, the more reliable and representative the sample mean is of the true mean. Hence, the sample mean is more likely to be closer to the population mean.

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Here photosynthesis in a nutshell. Can you explain what is happening?

Here photosynthesis in a nutshell. Can you explain what is happening?

Answers

Answer:

Photosynthesis is the process of using water, carbon dioxide and sunlight to produce sugar. The process of photosynthesis requires specialized cellular structures called chloroplasts to capture energy from the Sun and converted into chemical energy.

Explanation:

If a car has a speed of 36m/s how long will it take to go 100 m

Answers

It will take 2.77..... seconds
The answer to this question is 2.77..... seconds.

A 10-gram rubber ball was launched at a wall several times. The speed of the ball was measured after it hit the wall and bounced off. The force that the ball applied to the wall was also measured. The table below shows the data collected during the investigation.

Force Investigation Data
Force on Wall Return Speed after Bounce
0.5 N 5 m/s
1.5 N 9 m/s
2.0 N 18 m/s

According to the data, what happens to the ball when it applies more force to the wall?

Answers

Answer:Answer: A. The wall push back on the ball with more force, which causes the return speed of the to increase.

Explanation: For every for exerted on an object, there is an equal force exerted in the opposite direction. When the ball hits the wall with more force, the wall pushes back on the ball with more force. This causes the return speed of the ball to increase. The force that the wall applies to the ball launches the ball in the opposite direction. The greater the force on the ball, the greater it’s speed becomes .

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