A 10.0 g rifle bullet is fired with a speed of 350 m/s into a
ballistic pendulum with mass 9.00 kg, suspended from a cord 70.0 cm
long.
A 10.0 g rifle bullet is fired with a speed of 350 m/s into a ballistic pendulum with mass 9.00 kg, suspended from a cord 70.0 cm long. Part A Compute the initial kinetic energy of the bullet. Express

Answers

Answer 1

The initial kinetic energy of the bullet is 612.5 Joules (J).

How to solve for the  initial kinetic energy of the bullet

The initial kinetic energy of the bullet can be calculated using the formula:

Kinetic energy (KE) = 1/2 * mass * velocity^2

Given:

Mass of the bullet (m) = 10.0 g = 0.010 kg

Velocity of the bullet (v) = 350 m/s

Substituting the values into the formula:

KE = 1/2 * 0.010 kg * (350 m/s)^2

Calculating the value:

KE = 1/2 * 0.010 kg * (122,500 m^2/s^2)

KE = 612.5 J

Therefore, the initial kinetic energy of the bullet is 612.5 Joules (J).

Read more on kinetic energy here https://brainly.com/question/8101588

#SPJ4


Related Questions

Explain why ethylated spirit at room temperature when dropped at the back of the Palm makes the Palm to feel very cold.

Answers

Answer:

methylated spirit is in fact methanol added to ethanol (usually 10% methanol is used). The liquid evaporates which means that the liquid converts to a gaseous state. This process requires energy which it extracts from your body in the form of heat.

Explanation:

kepler's first law states that a planet moves around the sun in a(n) group of answer choices circle, with the sun at the center. elliptical orbit, with the sun at one focus. elliptical orbit, with the sun on the minor axis of the ellipse. elliptical orbit, with the sun at the center of the ellipse.

Answers

Kepler's first law states that a planet moves around the sun in an elliptical orbit, with the sun at one focus.

What are planets?

Planets are large bodies in space which orbit round a star such as the Sun.

The Sun and the planets that orbit around it form the solar system.

The movement of the planets around the Sun is described as planetary motion.

Planetary motion is descried in Kepler's laws of Planetary motion.

The Kepler's laws of Planetary motion are given as follows:

every planet's orbit is an ellipse with the Sun at one focus.a line joining the Sun and a planet sweeps out equal areas in equal timesThe square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.

In conclusion, planets orbit around a star.

Learn more about planetary motion at: https://brainly.com/question/3649072

#SPJ1

what is the investigative question when comes to internal resistance

Answers

When there is current flowing through the apparatus or electrical circuit and the source voltage or source battery experiences a voltage drop, internal resistance is present.

The voltage across the ideal voltage source is equal to the voltage at the terminals when there is no current flowing to an external resistance. However, there will be a voltage drop across the internal resistance when current leaves the cell, which will reduce the voltage at the cell's terminals.

The electromotive force within a cell is always greater than the potential difference between neighboring cells. Thus, variables like the distance between the electrodes, their effective area, temperature, and solution concentration affect a cell's internal resistance.

To learn more about internal resistance, visit:

https://brainly.com/question/15106247

#SPJ1

A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying

Answers

Answer:

232 N

Explanation:

By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so

F = kx

Where F is the force, k is the spring constant and x is how much it is stretched.

So, replacing k by 58N/cm and x by 4 cm, we get

F = (58 N/cm)(4 cm)

F = 232 N

Therefore, the force applied is 232 N

g two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of group of answer choices kinetic energy momentum both kinetic and momentum none of the above

Answers

This collision violates conservation of both energy and momentum i.e, third option is correct.

According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.

According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.

Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)

To know more about momentum:

https://brainly.com/question/14086707

#SPJ4

.A baseball is thrown at a 22.5° angle and an initial velocity of 40 m/s. Assume no air resistance What is the vertical component of the ball's velocity? What is the horizontal component of the ball's velocity?
a.24.9 m/5, 60.1 m/s
b. 601 m/s, 24.9 m/s
c.O m/s, 65 m/s
d. 17183.25 m​

Answers

The vertical component of the ball's velocity is 24.9 m/s, and the horizontal component is 60.1 m/s.

To determine the vertical and horizontal components of the ball's velocity, we can use trigonometry. The initial velocity of the ball can be broken down into its vertical and horizontal components.

The vertical component of velocity can be found using the formula: V_vertical = V_initial * sin(theta), where V_initial is the initial velocity and theta is the angle of projection.

In this case, V_initial is 40 m/s and the angle is 22.5°. Plugging in these values, we get: V_vertical = 40 m/s * sin(22.5°) ≈ 24.9 m/s.The horizontal component of velocity can be found using the formula: V_horizontal = V_initial * cos(theta), where V_initial is the initial velocity and theta is the angle of projection.

Plugging in the values, we get: V_horizontal = 40 m/s * cos(22.5°) ≈ 60.1 m/s. Therefore, the vertical component of the ball's velocity is approximately 24.9 m/s, and the horizontal component is approximately 60.1 m/s. Option (a) - 24.9 m/s, 60.1 m/s - represents the correct answer.

Learn more about velocity here ;

https://brainly.com/question/30559316

#SPJ11

An object of mass 3 kg is initially at a temperature of 400K. If the specific heat of this object is 478 J/kg * K, and 13 kJ of heat are added to the object, what is its final temperature?

An object of mass 3 kg is initially at a temperature of 400K. If the specific heat of this object is

Answers

Given,

The mass of an object is m = 3 kg

Initial temperature, T1 = 400 K

The specific heat of this object is c = 478 J/kg.K

The heat is Q = 13 kJ

Let T2 be the final temperature.

The formula is used to calculate the final temperature.

\(\begin{gathered} Q=mc\Delta T \\ 13\text{ kJ=3 }kg\text{ }\times478\text{ J/}kg\cdot K\text{ }\times(T_2-400\text{)} \\ (T_2-400)=\frac{13\times10^3}{3\times478}_{} \\ T_2-400=9.065 \end{gathered}\)

Thus, the value of the final temperature is

\(\begin{gathered} T_2=400+9.065 \\ T_2=409.065\text{ K} \end{gathered}\)

Therefore, the given answer (a) is correct.

a car is traveling 21 m/s when the driver sees a child standing in the road. he takes 0.8s to react then steps on the breaks and slows at 7.5m/s^2. how far does the car go before it stops?

Answers

The distance traveled by the car before it stops when moving with a velocity of 21 m/s is 19.2 m.

What is distance?

Distance is the total length between two points.

To calculate the distance the car move before stopping, we use the formula below.

Formula:

S = ut+at²/2......... Equation 1

Where:

S = Distanceu = Initial velocityt = Timea = acceleration

From the question,

Given:

u = 21 m/st = 0.8 sa = 7.5 m/s

Substitute these values into equation 1

S = (21×0.8)+(7.5×0.8²/2)S = 16.8+2.4S = 19.2 m

Hence, the distance traveled by the car before it stops is 19.2 m.

Learn more about distance here: https://brainly.com/question/26046491

#SPJ1

What force does the gravitational attraction of earth exert on a 12.8kg object, such as a toolbox loaded with tools

Answers

Answer:

16

Explanation:

5 grams is thes than greater than or equal too 508mg

Answers

Answer:

yes 5 is greater

Explanation:

Answer: 5 grams is greater than 508 milligrams. Even though the number '508' is larger than '5,' you need to look at the units.

An organ pipe closed at one end and open at the other has a length of 1.8 m.

An organ pipe closed at one end and open at the other has a length of 1.8 m.

Answers

Given,

The length of the pipe, L=1.8 m

Speed of the sound, v=340 m/s

To form the standing wave with the longest wavelength, the number of nodes of the thus formed standing wave should be equal to 1.

The wavelength of the standing wave created in a closed-end pipe is given by,

\(\lambda=\frac{4}{1}L\)

On substituting the known values,

\(\begin{gathered} \lambda=\frac{4}{1}\times1.8 \\ =7.2\text{ m} \end{gathered}\)

Thus the longest possible wavelength is 7.2 m

The frequency of this standing wave is given by,

\(f=\frac{v}{\lambda}\)

On substituting the known values,

\(\begin{gathered} f=\frac{340}{7.2} \\ =47.22\text{ Hz} \end{gathered}\)

Thus the frequency of this standing wave is 47.22 Hz.

An axially loaded short column has length of 3.5m carries factored load of 1600KN. Concrete fc'=28MPA and Fy=420 MPA. Maximum aggregate size is 19mm. Calculate the suitable dimensions for tied and spiral columns.qr 1. Calculate • Required loads • Stresses • Gross area • Area of steel • Design satisfies risk assessment against use Appropriate reinforcement SELECTION • All relevant checks to make design safe

Answers

The suitable dimensions for tied and spiral columns of Required loads, Stresses, Gross area, Area of steel are 1142.86 kN, 12.6 MPa, 90.89 m².

The required loads can be determined by dividing the factored load by the appropriate load factor. For this example, let's assume a load factor of 1.4. Required loads = Factored load / Load factor

= 1600 kN / 1.4

= 1142.86 kN

Determine the allowable stresses: a concrete compressive strength of fc' = 28 MPa, the allowable compressive stress (fa) can be calculated using the formula:

= 0.45 * 28 MPa

= 12.6 MPa

To know more about Stresses here

https://brainly.com/question/154477

#SPJ4

if a parallel circuit has three loads of equal resistance and a voltage of 120 v is applied to the circuit, what will the voltage drop be across each load?

Answers

Since load are connected in parallel so the voltage drop across each load will be 120 v.

Voltage and current are dependent on each other. In case of parallel connection, current gets divided in the circuit.

If all 3 loads are of equal resistance then R1=R2=R3=R.

so the equivalent resistance in parallel is = R/3

now the current supplied by the source is I = V/Req

I = 120/(R/3)

I = 360/R

Now since the load is equal so current also gets distributed equal.

So, the voltage drop across resistor would be Vr = (I/3)*R

putting the values of I, we get

Vr = 360R/3R

Vr = 120

Hence the voltage across the resistors is 120 V

To learn more about voltage, visit here,

https://brainly.com/question/13521443

#SPJ4

Trace fossils would include all of the following EXCEPT

Question 4 options:

bones


fossilized nests


footprints


fossilized eggs

Answers

Answer:

Im pretty sure its fossilized nests because nests arent tracings. hope this helps

Explanation:

The elements in which section of the periodic table are the most stable and rarely react with other elements?
А metals
B metalloids
С noble gases
D nonmetals ​

Answers

I think it is A if wrong sorry

-2 4/5 = -3 1/2n help pls

Answers

Answer:

4/5=n

Explanation:

hah I have the same homework :0

PLEASE HELP I NEED THIS FAST
Describe how electric potential energy, kinetic energy, and work change when two charges of opposite sign are placed near each other.

Answers

Answer:

If the charges have the same sign, so that qsqt>0, then the potential energy decreases as the charges separate; if the charges have opposite sign, the potential energy increases from negative infinity.

Explanation:

I hope this answered your question!

Compare and contrast scientific inquiry "skill and process".

Answers

Answer:

The inquiry process takes advantage of the natural human desire to make sense of the world... This attitude of curiosity permeates the inquiry process and is the fuel that allows it to continue. Process skills are not used for their own sake.

A motorbike travels 45 miles in 15 minutes, what is its speed (hint change the minutes to hours!!)

Answers

Answer:

180 miles/hr

Explanation:

15 min=1/4 hr

s= distance/time

s=45miles/1/4 hr

s=45miles x 4/1=180 miles/hr

determine the discharge (q) of a river that is 10 m wide, has a semicircular cross-sectional area (a), and has a velocity (v) of 3 m/s. choose one: A. 235 m3/s
B. 942 m3/s
C. 117 m3/s
D. 471 m3/s

Answers

To determine the discharge (q) of a river with a semicircular cross-sectional area and a velocity of 3 m/s, we can use the equation for discharge, which is given by Q = A * v, where Q is the discharge, A is the cross-sectional area, and v is the velocity of the river flow. By calculating the product of the area and velocity, we can find the value of the discharge.

The cross-sectional area (A) of a semicircular shape can be calculated as A = (π * r^2) / 2, where r is the radius of the semicircle. In this case, the width of the river is given as 10 m, so the radius (r) would be half of that, which is 5 m.

Substituting the values into the equation, we have A = (π * (5^2)) / 2 = 39.27 m^2. The velocity (v) of the river is given as 3 m/s. Now, we can calculate the discharge (Q) using the formula Q = A * v. Substituting the values, we have Q = 39.27 m^2 * 3 m/s = 117.81 m^3/s. Rounding the answer to the nearest whole number, we find that the discharge of the river is approximately 117 m^3/s. Therefore, the correct answer is C. 117 m^3/s.

To learn more about discharge, click here: brainly.com/question/14284792

#SPJ11

Why is it more difficult to push a sofa across a room with carpet than a room with a wood floor?.

Answers

Answer:

because the carpet creates more friction when sliding across which makes it slower while the slickness of the wood makes less friction

The 60-mm-diameter shaft is made of 6061-T6 aluminum. if the allowable shear stress is τallow = 80 mpa , and the angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad , determine the maximum allowable torque t .

Answers

The maximum allowable torque for a 60-mm-diameter shaft made of 6061-T6 aluminum, given that the allowable shear stress is τallow = 80 MPa and the angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad is 218.1 Nm.

Explanation:

Given parameters: Diameter of shaft = 60 mm, Shear stress allowable = τallow = 80 MPa, Angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad.

The formula used: The equation for torque is given as, T = (π/16) * τallow * d³ * (θ/L) Where, T = maximum allowable torqueτallow = allowable shear stress = diameter of the shaftθ = angle of twist, L = length of the shaft. According to the problem, the diameter of the shaft is 60 mm. So, the radius will be 30 mm or 0.03 m.

The angle of twist is limited to 0.050 rad. Let's consider the length of the shaft to be 1 m. So, using the formula we get the maximum allowable torque, T = (π/16) * τallow * d³ * (θ/L)T = (π/16) * 80 * (0.06)³ * 0.050/1T = 218.1 NmTherefore, the maximum allowable torque is 218.1 Nm.

To know more about torque, visit:

https://brainly.com/question/25708791

#SPJ11

Which of the following describes a way that neighborhoods help children build new relationships?
OA neighborhood holds a winter festival with activities for children and families.
O Families of the neighborhood walk around the block on differing weeknights.
O Lawn crews ensure that the neighborhood is properly maintained each week.
O Members of the community form a Neighborhood Watch team.

Answers

The neighborhood can help children build new relationships by holding a winter festival with activities for children and families.

In today's world, where everyone is quite busy in their own world, children have academic pressure and many more.

They tend to detach themselves from people, and hence many relationships ruin.

Building relationship helps the children grow and makes them more sociable. It boots their intelligence and makes them aware of the importance of having a relationship and building bonds with people.

The neighborhood holds a winter festival with activities for children and families is a great way to build new relationships.

To read more about building relationships, visit https://brainly.com/question/1045412

#SPJ1

What causes the attraction between protons and neutrons?

Answers

Answer:

The nuclear force

Explanation:

hope this helps

Acceleration is a change in what quantity Over time?A- speed B- distance C- force D- displacement

Answers

To find

Acceleration is a change in what quantity Over time?

Explanation

Acceleration is defined as the change in velocity with respect to time interval.

Conclusion

The required quantity is

A. speed

draw a figure of a simple pendulum explain its amplitude and effective length ?

Answers

Answer:

Explanation:

A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.

In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.

Amplitude:

The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."

Effective Length:

The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."

It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.

Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.

draw a figure of a simple pendulum explain its amplitude and effective length ?

A student swings a 0. 5kg rubber ball attached to a string over her head in a horizontal, circular path. The string is 1. 5

meters long and in 60 seconds the ball makes 120 complete circles.


What is the velocity of the ball?


What is the ball’s centripetal acceleration?


What is the ball’s centripetal force?

Answers

The velocity of the ball = 18.84 rad/sec

The centripetal acceleration of the ball = 236.63 m/s²

The centripetal force of the ball = 118.32 N

The mass of the ball = 0.5 kg

The length of the string = 1.5

The time taken = 60 s

The number of rotations = 120

The velocity of the ball can be found using the formula,

              ω = θ / t

where ω is the angular velocity

           θ is the angular rotation

           t is the time taken

Let us substitute the known values in the above equation, we get

               ω = (120 x 2 x 3.14 x 1.5 ) / 60

                    = 1,130.4 / 60

                    = 18.84 radians/sec

The formula for centripetal acceleration is

                α = ω² / r

                    = 18.84² / 1.5

                    = 345.95 / 1.5

                    = 236.63 m / s²

The centripetal force is

              F = mω² / r

                 = 0.5 x 236.63

                 = 118.32 N

Learn more about the centripetal force in

https://brainly.com/question/14021112

#SPJ4

Which source of evidence did Wegener use to support his theory of continental drift?

fossils found on Earth
magnetic fields of Earth
satellite mapping of the tropical islands
glaciers found near the poles

Answers

Answer:

fossils found on Earth

Explanation:

i just did the test 100%

Answer:

Fossils on Earth

Explanation:

Fossils can show that the continents were all together by putting them together on a map you can see the fit. and when you look where fossils were, they would be right next to each other.

In which of these scenarios is useful mechanical work being done? 1. Dave is climbing a ladder. 3. Dave washes his car.
2. Dave's stomach begins to digest his lunch.

Answers

The answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).

Useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car). Let's examine each scenario:

Dave is climbing a ladder: In this scenario, Dave is exerting a force against gravity to move his body upwards. This involves the application of force over a distance, which is the definition of mechanical work. Therefore, useful mechanical work is being done as Dave climbs the ladder.

Dave's stomach begins to digest his lunch: Digestion is a biological process that occurs within the body and is not considered mechanical work. It involves chemical and enzymatic reactions in the stomach to break down food, but it does not involve the application of force over a distance. Thus, no useful mechanical work is being done in this scenario.

Dave washes his car: When Dave washes his car, he applies force to the cleaning materials and moves them across the car's surface, exerting work against friction. This work results in the cleaning of the car and is considered useful mechanical work.

Therefore, the answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).

Learn more about work at: https://brainly.com/question/28356414

#SPJ11

A sphere of radius R has charge Q. The electric field strength at distance r>R is Ei. Each Part in this question changes only one quantity; the other quantities have their initial values.
A) What is the ratio Ef/Ei of the final to initial electric field strengths if Q is halved?
B) What is the ratio Ef/Ei of the final to initial electric field strengths if R is halved?
C) What is the ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R)?

Answers

The ratio Ef/Ei of the final to initial electric field strengths, if Q is halved, is 1/2. B) The ratio Ef/Ei of the final to initial electric field strengths, if R is halved, is 4. C) The ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R) is 2. The correct option is A).

Given that Sphere of radius R has charge Q. The electric field strength at a distance r > R is Ei. Therefore, the electric field intensity at a distance from the center of a charged sphere of radius R is:

Ei = kQ/R² ... (1)

Now,

A) When Q is halved, the electric field intensity

\(Ef isEf = kQ/2R² ... (2)\)

Therefore, the ratio of the electric field intensity at r > R after Q is halved and before halving is:

\(++Ef/Ei = (kQ/2R²)/(kQ/R²) = 1/2B)\)

When R is halved, the electric field intensity

\(Ef isEf = kQ/(R/2)² = 4kQ/R² ... (3)\)

Therefore, the ratio of the electric field intensity at r > R after R is halved and before halving is:

\(Ef/Ei = (4kQ/R²)/kQ/R² = 4C)\)

When r is halved (but still >R), the electric field intensity Ef is

\(r = R/2...\)

Therefore, the ratio of the electric field intensity at r > R after r is halved and before halving is:

\(Ef/Ei = kQ/(R/2)² / kQ/R² = 2.\)

Hence, the required ratios are A) 1/2 B) 4 C) 2. Therefore, the correct option is A).

To know more about electric field strengths, visit:

https://brainly.com/question/3405913

#SPJ11

Other Questions
~~Erikson's 8 Stages of Psychosocial Development Qs~~What stage is characterized by the psychological challenge of establish bond with trusted caregiver? Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature." Find the distance between the pair of points. Round your answer to the nearest tenth, if necessary. Work must be shown to support your answer. why did tensions arise between the american colonists and the british government due to the end of salutary neglect The example of nutrition any five examples of Nutrition Exercise on Passive Voice - Simple Present Rewrite the sentences in passive voice. 1. He opens the door. 2. We set the table. - 3. She pays a lot of money. - 4. I draw a picture. - 5. They wear blue shoes. - 6. They don't help you. - 7. He doesn't open the book. - The book is not opened by him 8. You do not write the letter. - 9. Does your mum pick you up? - 10. Does the police officer catch the thief? - 5x+7y=7 help me find the y asap pleasw As a researcher for a pharmaceutical company, you are designing a study to test the effectiveness of a new treatment for migraine headaches in comparison with the current leading medicine used to treat migraines. You have been given a list of 126 people willing to participate in the trial. The first 70 people are female; the remaining 56 are male. Preliminary research suggests that men and women respond differently to this new treatment. d) Design an appropriate experiment to determine the effectiveness of the migraine medicine. Scan or take a picture of your design and upload it. Question 4Ancient Roman civilization:A. Was known for remarkable feats of architectural engineering that frequently produced large-scale constructionsB. Borrowed a variety of design elements from the ancient Greeks for their temple architectureC. Was known for its remarkable engineers that created the 60-unit time system, the wheel, and invented writing.D. All of the aboveE. A and B only Astronomy:The sun rises in the east and sets in the west due to this phenomenon.a) the earth is spinning clockwiseb) the earth is at the center of the solar systemc) the earth is spinning counter clockwise on its axis d) the earth is revolving around the sun a mini bottle of water contains 8 ounces of water you need 4 1/4 gallons of water how many mini water bottles do you need Which sentence from the section "Juneteenth VeryImportant Day For African-Americans" explainswhy Juneteenth is important to African-Americans? Do one of them guys help get them right guys pls cho on mch ADN c trnh t sp xp nh sau-A-T-G-X-A-X-X-T-A-T-A-X-G-T-Hy vit on mch b sung cn li What does President Obama say he will do in his speech? when an otherwise honest person allows the promise of a bonus to negatively influence her behavior, it is most likely an example of what type of ethical challenge? a. overconfidence bias b. situational influence c. compliance oversimplification An employee group requires 7 people be chosen for a committee from a group of 16 employees. Determine the following probabilities of randomly drawn committee of 7 employees. Write your answers as percents rounded to 4 decimal places. The employee group has 6 women and 10 men. What is the probability that 3 of the people chosen for the committee are women and 4 people chosen for the committee are men?%The committee requires that exactly 3 people from Customer Service serve on the committee. There are 5 people in Customer Service. What is the probability that exactly 3 of the people chosen for the committee are from Customer Service?%A bag contains 7 red marbles, 6 white marbles, and 5 blue marbles. You draw 4 marbles out at random, without replacement. Find each probability.P(all 4 are red)=A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 4 of these cards are Aces. Answer: of___%Determine the probability that all five of these cards are Spades. Answer:08%Determine the probability that exactly 4 of these cards are face cards. Answer: ____% Determine the probability of selecting exactly 2 Aces and exactly 2 Kings Answer: ___% Determine the probability of selecting exactly 1 Jack. Answer: ___% inverse function of y = 3x Julie printed out a picture of each of the five members of her favorite band to decorate her bedroom door. Each picture measures 8 inches by 10 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?A. 320 square inchesB. 400 square inchesC. 480 square inchesD. 180 square inches 11 The Republican Party has been in ____ the USA since 2000. A force B rule C authority D power