A car with a mass of 1080 kg is traveling in a mountainous area with a constant speed of 69.6 km/h. The road is horizontal and flat at point A, horizontal and curved at points B and C.
1. The radii of curvatures at B and C are: rB = 130 m and rC = 115 m. Calculate the normal force exerted by the road on the car at point A.
Normal Force = 1.-6x10^4 N
2. Now calculate the normal force exerted by the road on the car at point B.

A Car With A Mass Of 1080 Kg Is Traveling In A Mountainous Area With A Constant Speed Of 69.6 Km/h. The

Answers

Answer 1

(1) The normal force exerted by the road on the car at point A is 1.06 x 10⁴ N

(2) The normal force exerted by the road on the car at point B is 7,495.8 N.

Normal force at point A

Fn(A) = mg

where;

m is mass of the carg is acceleration due to gravity

Fn(A) = 1080 x 9.81

Fn(A) = 1.06 x 10⁴ N

Normal force exerted by the road on the car at point B

The normal force exerted by the road on the car at point B is calculated as follows;

Fn = Fn(A) - mv²/r

where;

Fn(A) is normal force at point Am is mass of the carr is radius of curve Bv is velocity of the car, 69.6 km/h = 19.33 m/s

Fn = 1.06 x 10⁴ - (1080 x 19.33²)/(130)

Fn = 7,495.8 N

Thus, the normal force exerted by the road on the car at point A is 1.06 x 10⁴ N and the normal force exerted by the road on the car at point B is 7,495.8 N.

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Related Questions

Find the image distance of an object placed 5.00 cm in front of a convex mirror whose focal length is 8.00 cm.

Answers

The mirror equation is given by:

\(\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}\)

Where d0 is the distance to the object, di is the distance of the image and f is the focal length. In this case we have that:

• The distance of the object is 5 cm

,

• The focal length is 8 cm.

Plugging these and solving for di we have that:

\(\begin{gathered} \frac{1}{5}+\frac{1}{d_i}=\frac{1}{8} \\ \frac{1}{d_i}=\frac{1}{8}-\frac{1}{5} \\ \frac{1}{d_i}=\frac{5-8}{40} \\ \frac{1}{d_i}=-\frac{3}{40} \\ d_i=-\frac{40}{3} \\ d_i=-13.33 \end{gathered}\)

Therefore, the image distance is -13.33 cm. Note: the minus sign indicates that the image is behind the mirror, that is, the image is virtual.

please answer all the three question i am not sure of my answer i have final exam it would mean alot for u to help

please answer all the three question i am not sure of my answer i have final exam it would mean alot

Answers

Answer:

3 : Presence of a catalyst and Temperature

4 : correct, nothing needed to change

5 : Le Chatelier's principle states that when an equilibrium system is subjected to a disturbance or stress, it will undergo a shift in the direction that counteracts the impact of the stress, ultimately reestablishing a new state of equilibrium.

What is the best description of the function of stars?


Stars are the recycling centers of the universe.
Stars are the light bulbs of the universe.
Stars are the batteries of the universe.
Stars are the motors of the universe.

Answers

Answer:

Stars are the light bulbs of the universe.

Answer:

Stars are the recycling centers of the universe

Explanation:

I just did on edge C

What is the mechanical energy after the rock has fallen for 2 s?​

Answers

Without additional information about the situation, it's impossible to determine the mechanical energy after the rock has fallen for 2 seconds. The mechanical energy depends on factors such as the mass of the rock, its height above the ground, and the presence or absence of any external forces acting on the system.

What is the term for trade without barriers, tariffs, or quotas?
A. Free trade
B. Trade deficit
C. Surplus trade
D. Trade bloc

Answers

I think its free trade

when a positively charged object is used to charge a neutral conducing sphere by contact,the resulting charges are as follows? A. The sphere is now neutral and the object is negative
B. The sphere is now positive and object is negative
C.Both the sphere and the object are negative
D. Both the sphere and the object are positive​

Answers

Answer: D - Both the sphere and the object are positive​.

A straight piece of conducting wire with mass M and length L is placed on a frictionless incline tilted at an angle θ from the horizontal (the figure (Figure 1)). There is a uniform, vertical magnetic field B⃗ at all points (produced by an arrangement of magnets not shown in the figure). To keep the wire from sliding down the incline, a voltage source is attached to the ends of the wire. When just the right amount of current flows through the wire, the wire remains at rest. Using the given variables and appropriate constants, determine the magnitude of the current in the wire that will cause the wire to remain at rest.

A straight piece of conducting wire with mass M and length L is placed on a frictionless incline tilted

Answers

I = M g sin / (L  B), where M, L,, and B are the provided variables and g is the acceleration due to gravity (9.81 m/s2), determines the amount of current in the wire that will keep it at rest.

Is the strength of the magnetic field surrounding a wire inversely proportional to the current flowing through it?

The magnitude of the magnetic field is inversely related to the perpendicular distance from the wire and proportionate to the current.

We need to use the equation for the force on a current-carrying wire in a magnetic field to estimate the size of the current in the wire that will keep it at rest:

F = I L × B

The weight of the wire's component moving down the incline must be balanced by the force acting on the wire:

F = M g sinθ

For the wire to remain at rest, these two forces must be equal:

I L × B = M g sinθ

Solving for I, we get:

I = M g sinθ / (L × B)

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5) You pull a 10.0 kg wagon along a flat road. You exert a force of 80.0 N at an angle of 30.0 degrees above the horizontal while you move the wagon 10.0 m forward. The coefficient of friction between the wagon and road is 0.500. Calculate the work down by you and the work done by friction.

Answers

Consult the attached free body diagram. The only forces doing work on the wagon are the frictional force opposing the wagon's motion and the horizontal component of the applied force.

By Newton's second law, the net vertical force is

• ∑ F [v] = n + (80.0 N) sin(30.0°) - mg = 0

where a is the acceleration of the wagon.

Solve for n (the magnitude of the normal force) :

n = (10.0 kg) g - (80.0 N) sin(30.0°) = 58.0 N

Then

f = 0.500 (58.0 N) = 29.0 N

Meanwhile, the horizontal component of the applied force has magnitude

(80.0 N) cos(30.0°) ≈ 69.3 N

Now calculate the work done by either force.

• friction: -(29.0 N) (10.0 m) = -290. J

• pull: (69.3 N) (10.0 m) = 693 J

5) You pull a 10.0 kg wagon along a flat road. You exert a force of 80.0 N at an angle of 30.0 degrees

Squidward found new reeds to tryout for this clarinet. He used an APPLAUSOMETER to measure applause after playing Under the Sea with each reed. The results were put in the table. What was the experimental variable pointal

A. The song

B. The reed

C. The applause​

Answers

Answer:

The reeds

Explanation:

The reeds don't depend on anything. The meter depends on the applause, and the applause depends on the reeds.

the answer is
b. the reed

Velocity is a measure of both speed and
of the
motion of an object.

Answers

What exactly is ur question?
direction of motion

When a pencil 10 cm long is placed vertically 100 cm from a lens of focal length +50 cm, image is

Answers

Answer:

Explanation:

When a pencil 10 cm long is placed vertically 100 cm from a lens of focal length +50 cm, image is formed at a distance of 50 cm from the lens. The image is inverted and is 50 cm tall.


The resistance of a round copper conductor is 0.2 02. What is the resistance of a copper conductor of equal
length, but four times the diameter?

Answers

Resistance of copper wire with four times the diameter is 3.23 Ω.

Formula of resistance is, R= ρl/A.

where, ρ = Resistivity of material

            l = Length of material

            A= area of material

In first case, resistance of Copper conductor = 0.202 Ω

0.202 = ρ × l /πr²

0.202 = ρ × l/ π (d/2)²                            …equation 1

In second case, let resistance of copper conductor where diameter is four times be R'

R' = ρ × l /π (d/8)²                                   …equation 2

upon substituting value of equation 1 in 2,

R' = 0.202 × 16

R' = 3.23 Ω

Hence, Resistance of copper conductor with four times diameter is 3.23 Ω

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Draw the Free- Body diagram of the 37 kilogram glass falling to the floor in a vacuum.



Then, use Newton’s Second Law to calculate how much force the glass hits the floor with.

Answers

Answer:

362.6 N

Explanation:

\(F_{g}=mg\)

\(F_{g}=37\cdot9.8\)

\(F_{g}=362.6\ N\)

Therefore, the force that the glass hits the floor with is 362.6 N

State Newton's second law of motion ​

Answers

the acceleration of an object is directly related to the net force and inversely related to its mass

Explanation:

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

State Newton's second law of motion

Two tiny objects with equal charges of 7.25 μC are placed at the two lower corners of a square with sides of 0.201 m, as shown.


Find the electric field at point B, midway between the upper left and right corners. If the direction of the electric field is upward, enter a positive value. If the direction of the electric field is downward, enter a negative value. answer in N/C

Two tiny objects with equal charges of 7.25 C are placed at the two lower corners of a square with sides

Answers

The electric field at point B, located at the midpoint between the upper left and right corners of the square, can be approximated as 3.244 x \(10^6\) N/C in the upward direction.

To find the electric field at point B, we can consider the contributions from the two charges placed at the lower corners of the square. Since the charges are the same and the distance to point B is the same for both charges, the magnitudes of the electric fields produced by each charge will be equal.

First, let's calculate the magnitude of the electric field produced by one of the charges at point B using Coulomb's Law:

Electric field due to a point charge (E) = (k * q) / \(r^2\)

Where:

- k is the electrostatic constant, approximately equal to 8.99 x 10^9 \(10^9\)N \(m^2/C^2\)

- q is the charge of the object, 7.25 μC (7.25 x \(10^-^6\) C)

- r is the distance from the charge to point B, which is half the length of the square's side, 0.201 m / 2 = 0.1005 m

Plugging in the values, we have:

E = (8.99 x \(10^9 N m^2/C^2\) * 7.25 x \(10^-^6\) C) / (0.1005 \(m)^2\)

E ≈ 1.622 x \(10^6\) N/C

Since the electric fields from the two charges at the lower corners have equal magnitudes and point in the same direction (upward), the total electric field at point B is twice the magnitude of the individual electric field:

Electric field at point B = 2 * E ≈ 2 * 1.622 x \(10^6\) N/C

Electric field at point B ≈ 3.244 x \(10^6\) N/C

Therefore, the electric field at point B, midway between the upper left and right corners of the square, is approximately 3.244 x \(10^6\)N/C upward.

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A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 55.5 m above ground level, and the ball is fired with initial horizontal speed . The projectile lands at a distance D = 140 m from the cliff. Assume that the cannon is fired at time t = 0 and that the cannonball hits the ground at time . a. What is the value of ? b. What is the y position of the cannonball at the time c. Find the initial speed of the projectile.

Answers

a) The value of t u = 140/t`b.

b) The y position of the cannonball at the time t is  55.5 mc.

c) The initial speed of the projectile is 52.4 m/s.

Given that a cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 55.5 m above ground level, and the ball is fired with initial horizontal speed u. The projectile lands at a distance D = 140 m from the cliff. Assume that the cannon is fired at time t = 0 and that the cannonball hits the ground at time t.Now,We have to find the value of t, y position of the cannonball at the time t and the initial speed of the projectile.

a. To find the value of t:Here, we have to use the formula of distance

i.e.,S = ut + (1/2)gt², Where S = 140 m, u = u and g = 9.8 m/s².Hence,140 = u×t ………..(1)We know that, time taken by the cannonball to hit the ground can be calculated as,`(2H)/g`

Since the height of the cannon from the ground is 55.5m, the total height of the cannonball from the ground is

(2H) = 2 × 55.5

= 111 m`2H/g

= 111/9.8`

= 11.32653 s

From equation (1),u×t = 140u = 140/t

Therefore, `u = 140/t`b.

b)To find the y position of the cannonball at the time t:

Here, we have to use the formula of height i.e.,y = u×t – (1/2)gt²,

Where, y = height of the cannonball at time t, u = 140/t, t = time taken by the cannonball to hit the ground and g = 9.8 m/s².

We have already calculated the time taken by the cannonball to hit the ground in the previous step.`

y = 140 - (1/2) × 9.8 × t²`

On substituting the value of t as `t = 11.32653`,

we get,y = 140 - (1/2) × 9.8 × (11.32653)²= 55.5 mc.

c)  To find the initial speed of the projectile:

To calculate the initial speed of the projectile, we need to use the formula of range of projectile

.i.e.,R = u²sin2θ/g

Where R = 140 m, g = 9.8 m/s², θ = 0° (horizontal)

u² = R × g/sin2θ

   = 140 × 9.8/sin0°  

   = 2744m²/s²u  

   = \(\sqrt(2744m^2/s^2)\)

   = 52.4 m/s

Hence, the initial speed of the projectile is 52.4 m/s.

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1. On a force vs. mass graph, what would be the slope of the line?
2. On a Free Body Diagram, if the forces are all balanced, what do you know about the
object? Can it be moving?

Answers

1. By Newton's second law,

F = m a

so the slope of the line would represent the mass of the object.

2. If all the forces are balanced, then the object is in equilibrium with zero net force, which in turn means the object is not accelerating. So the object is either motionless or moving at a constant speed.

A driver travels +2170 m in 35.0
S. If the driver's initial velocity is +62.0 m/s, what is her acceleration?

HELP PLEASE

Answers

The acceleration of driver with given values is - 1.771 m/s².

Equation :

To know acceleration used formula is the rate of change of the velocity of an object with respect to time that is,

a = dv / dt

Where,

dv is the small change in velocity

dt  is change in time of an object

Given,

The distance traveled by the driver is +2170 m

The time taken by the driver is 35. 0 s

The initial velocity of driver is + 62.0 m/s

Therefore , to get the acceleration of the driver with the equation of motion

v = u + at

Here v is the final velocity which is taken zero

Then by putting the values in the above equation,

0 = (+62. o m/s) + (a) 35.0s

a = -  (+62. o m/s) / ( 35.0s)

a = - 1.771 m/s²

The negative sign of acceleration shows that, the driver is slowing then acceleration is in the opposite as the velocity.

So, the acceleration

a = -1.771 m/s².

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help me

Write your answer on the lines below.

4. Are the light waves reflecting off a red stop sign longer or shorter than the waves reflecting off a violet-colored jacket? Explain how you know.​

Answers

The light waves reflecting off a red stop sign would be longer than the light waves reflecting off a violet-colored jacket. This is because red light has a longer wavelength than violet light.

Light waves and reflection

Light waves, like all waves, are characterized by their wavelength. The wavelength of a wave determines its color, with shorter wavelengths appearing as blue and violet, and longer wavelengths appearing as red and orange.

Because the wavelength of red light is longer than the wavelength of violet light, the light waves reflecting off the red stop sign would be longer than the light waves reflecting off the violet-colored jacket.

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A ball was positioned in the middle of a smooth ramp and allowed to roll downward. How does the total mechanical energy of the ball before it is released compare to its total mechanical energy at the bottom of the ramp? Assume there is no friction.
A. The total mechanical energy is zero before it is released and
increases until it reaches the bottom of the ramp.
B. The total mechanical energy at the bottom of the ramp is twice
what it was before the ball was released.
C. The total mechanical energy is the same before it was released
and at the bottom of the ramp.
D. The total mechanical energy before it was released is less than
what it is at the bottom of the ramp.

Answers

Answer: C

In the absence of friction, the total mechanical energy of the ball is conserved throughout its motion. This conservation is known as the principle of conservation of mechanical energy. Mechanical energy is the sum of the ball's kinetic energy (KE) and potential energy (PE).

Before the ball is released, it has potential energy due to its position on the ramp, but it has no kinetic energy because it is stationary. At this point, its total mechanical energy is equal to its potential energy.

As the ball rolls downward, it gains speed and its potential energy decreases. However, this decrease in potential energy is accompanied by an increase in kinetic energy. The ball's total mechanical energy remains constant throughout the motion.

Therefore, the correct answer is:

C. The total mechanical energy is the same before it was released and at the bottom of the ramp.

một trái banh đỏ được ném lên từ mặt đất với vận tốc ban đầu 25m/s . cùng lúc đó 1 trái banh xanh được thả xuống từ tầng ba của tòa nhả độ cao 15m. hỏi sao bao lâu 2 trái banh đạt cùng độ sao so với mặt đất

Answers

Answer:

Hshahahjahajjajjajaisjsjs

A table tennis ball has a mass of about 2.45 g. Suppose the ball is hit across the table with a speed of 4.0 m/s. What is it’s kinetic energy?

Answers

Answer:

0.0196 j

Explanation:

i) The formula for kinetic energy is as follows: 0.5*m*v^2

ii) Since we have all the values all that's left is to plug them into the equation

iii) First, WE MUST, Convert grams into kgs as this is the SI unit of mass so 2.45/1000

iv) All that's left now is to plug it into the equation so:

0.5* (s.45/1000)*(4^2)

v) Lastly we add the unit joules at the end as we're talking about energy

Hope this was useful! :)

a. At a constant temperature, the volume of the vessel is compressed to half. How will the rms speed of gas in it change? [2] Air at temper 9727​

Answers

According to the information, the rms speed of the gas will remain unchanged.

How will the rms speed of gas in it change?

The rms (root-mean-square) speed of a gas is directly proportional to the square root of its temperature. In this scenario, the temperature is constant, which means that the rms speed of the gas will also remain constant.

The change in volume does not have a direct effect on the rms speed of the gas, as long as the temperature remains unchanged. Therefore, the rms speed of the gas in the vessel will not change.

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What is environmental?

Answers

Answer:

Environmental means relating to or caused by the surroundings in which someone lives or something exists. It protects against environmental hazards such as wind and sun. The form the human family takes is a response to environmental pressures.

Explanation:

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A deuterium (an isotope of hydrogen) nucleus (mass = 2.01355 amu) is made up of one proton (mass = 1.007276 amu) and one neutron (mass = 1.008665 amu). Which statement best describes what happens when a deuterium nucleus forms?​

A deuterium (an isotope of hydrogen) nucleus (mass = 2.01355 amu) is made up of one proton (mass = 1.007276

Answers

Answer: Deuterium is a stable isotope of hydrogen, which, unlike “normal” hydrogen atoms, or protium, also contains a neutron. The isotope deuterium has one proton, one neutron and one electron. One out of 6420 hydrogen atoms, on average, is a deuterium isotope.

Explanation: Deuterium is an isotope of hydrogen that is composed of one proton, one neutron, and one electron. The nucleus of deuterium is composed of a proton and a neutron. The symbol for deuterium is given as 2H. The atomic number of deuterium is 1 and the mass number is 2.

Calculate the minimum area moment of inertia for a rectangular cross-section with side lengths 6 cm and 4 cm.


52 cm4


72 cm4


32 cm4


24 cm4


2 cm4

Answers

Answer:

Minimum Area of rectangle = 24 centimeter²

Explanation:

Given:

Length of rectangle = 6 centimeter

Width of rectangle = 4 centimeter

Find:

Minimum Area of rectangle

Computation:

Minimum Area of rectangle = Length of rectangle x Width of rectangle

Minimum Area of rectangle = 6 x 4

Minimum Area of rectangle = 24 centimeter²

How do you recognise a chemical

Answers

To recognize a chemical you look for certain changes
- change in temperature
- change in color
- formation of a precipitate
- formation of bubbles

Which organisms were first responsible for depleting carbon dioxide from the atmosphere, replacing it with oxygen?

A) Plants

B) Dinosaurs

C) Cyanobacteria

D) Trilobites

Answers

C) Cyanobacteria is the answer
A) Plants

Hopes this helps

Conservation of energy says the kinetic energy and the potential energy for each trial should be equal. true or false answer fast

Answers

Answer:

true

Explanation:

this is because potienal energy is energy that is stored, and kinetic is energy being used, as kinetic is used, potential is also being used.

Which of the following would fill in the table where "A" is?
Symbol
Element Name
Atomic Number Mass Number
#nº
#p
#e
Net Charge
Si
Silicon
A (#13)
27
B (#14 14 C (#15)
0
D (#16)
Potassium
18
39
19
18 E (#17)
A. 3
B. 13
C. 14
D. 28

Which of the following would fill in the table where "A" is?SymbolElement NameAtomic Number Mass Number#n#p#eNet

Answers

Answer:

.lyrjhg.

Explanation:

qqlqfgtjnfh

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A body initially at rest is accelerated at the rate of 0.2m/s for 5 seconds under contant force of 50 N. Calculate the workdone on the body 2. A bike costsA$650. During,Sale it is markedIdown 35%. What isthe sale price of thebike? In terms of absolute* plate motion, why is the Indian plate colliding with the Eurasian plate?A:In absolute terms, the Indian and Eurasian plates are both moving NORTHWARDS, but the Indian plate is moving FASTER than the Eurasian plate.B:In absolute terms, the Indian and Eurasian plates are both moving NORTHWARDS, but the Indian plate is moving SLOWER than the Eurasian plate.C:In absolute terms, the Indian and Eurasian plates are both moving SOUTHWARDS, but the Indian plate is moving FASTER than the Eurasian plate.D:In absolute terms, the Indian and Eurasian plates are both moving SOUTHWARDS, but the Indian plate is moving SLOWER than the Eurasian plate.E:In absolute terms, the Indian plate is moving NORTHWARDS and the Eurasian plate is moving SOUTHWARDSF:In absolute terms, the Indian plate is moving SOUTHWARDS and the Eurasian plate is moving NORTHWARDS Trace a drop of blood from the heart to the top of the foot by naming the blood vessels from aorta to the artery that can be felt on the foot (dorsal is pedis). After the city of Mecca surrendered to Muhammad, he established a new state based on aA. democratic government system.B. dynastic system with his sons as the monarchs.C. government system similar to the Persian administration.D. common religious faith the nurse is caring for a client who was recently diagnosed with diabetes mellitus. which action demonstrates that the nurse is using the basic needs theory? 10n - 3n + 5 + 4n - 2 A man bocromed $3400 trom a bark for 3 month. A trend was cosignor of the man's porsonal note. The bark collocied 5(1/2)% simple interest on the date of mafurify. a) How much did the man pay lor the use of the moncy? b) Determine the amount he repaid to the bank on the due date of the note. A transformer has 10,000 windings on the primary side and 5,000 windings on thesecondary side. 100 volts is applied to the primary side. What is the anticipated voltageon the secondary side? Is this a step-up or step down transformer? why might analysts be concerned if a government has an unusually high ratio of intergovernmental revenues to total revenues relative to a comparable government? why might they be concerned if the same ratio is unusually low? delta airlines quotes a flight time of hours, minutes for its flights from cincinnati to tampa. suppose we believe that actual flight times are uniformly distributed between hours and hours, minutes. a. which of the following graphs accurately represents the probability density function for flight time in minutes? 1. 2. 3. - select your answer - b. what is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? c. what is the probability that the flight will be more than 10 minutes late (to 2 decimals)? d. what is the expected flight time, in minutes? (I NEED HELP ASAP)The Spanish explorer credited with the defeat of the Aztec Empire isA. Juan de OateB. Hernn CortsC. Alvar Nuez Cabeza de VacaD. Pnfilo de Narvez Which pair of words best completes this conversation?Ral: Mi auto es ms cmodo que el de Francisco.Luisa: Mi auto es el ______ cmodo de _________. A. menos, ellos B. tan, ms C. ms, todos D. todos, ms 7. Marco cannot have 10 fish in his fish tank. The Ember Tetras come in groups of 2. Marco already has 3Ember Tetras in the tank. Write and solve an inequality about how many more bags of tetras he can buy forhis fish tank. Explain and show work During a test, 3 out of 200 television sets were found to be defective. About how many defective sets would you expect out of 4,000 television sets? The 1983 Economic Report of the president contained the following statement: "Devoting a large share of national output to investment would help restore rapid productivity growth and rising living standards." Do you agree with this claim? Explain. Question : Let X ~ geom (p)(a.) Find the MLE for p.(b.) Show that this family meets all regularity conditions necessary for the Cramer-Rao lower bound to apply(c.) Determine if your estimator in part a is asymptotically normal and/or consistent. Which of the following would occur during the observation and description part of applying the scientific method?A. Careful documentation of the processB. A thoughtful conclusion based on resultsC. The posing of a question to be answered by the experimentD. Doing research to see what similar experiments other scientists have performed Keith served ice cream to his 3 children.He gave each child4 2/3 onces.How many onces did he served altogether? an automobile manufacturer acquires a rental car company. this is an example of group of answer choices backward integration. forward integration. economies of scale. product differentiation.