Die has been rolled 5 times and only two of the times it landed on 6. How many possible outputs are possible?

Answers

Answer 1

Answer:

we can use combinatorics to solve this problem. We want to find out how many possible outcomes there are from rolling a die 5 times and having only 2 rolls land on 6.

One way to approach this is to note that we have 3 rolls that cannot be 6 and 2 rolls that must be 6. The number of ways to choose which 2 rolls are 6 is given by the binomial coefficient (5 choose 2), which is 10.

For the remaining 3 rolls that cannot be 6, each roll has 5 possible outcomes (since there are 6 possible outcomes for each roll, but we cannot have a 6 for those rolls). So the total number of possible outcomes is:

10 * 5 * 5 * 5 = 1250

Therefore, there are 1250 possible outputs from rolling a die 5 times and having only 2 rolls land on 6.

Explanation:


Related Questions

Corrections for curvature and refraction (c r) are applied to: ____________.
a. benchmark elevations (BM)
b. both foresight rod readings (FS) and backsight rod readings (BS)
c. foresight rod readings (FS)
d. backsight rod readings (BS)

Answers

Answer:

b.

Explanation:

Foresight rod reading is any measurement taken at a given sight to determine a particular elevation. The backsight rod readings are usually used to a point of certain elevation. It is added to the elevation to determine the height of the instrument. These are phenomena are used in differential leveling and are applied to corrections for curvature and refraction.

A "calorie" is a unit of energy, defined as the amount of energy needed to raise the temperature of one gram of water by one degree Celsius. The nutritional labels on food products typically tell you how many calories of digestible energy are in one serving of food, where "digestible" means that the energy stored in the chemical bonds of the molecules comprising the food can be extracted by your body. (Water for example has energy, but that energy is not chemically accessible via digestion.) To simplify understanding for typical consumers, the "calories" reported on nutritional labels actually represent kilocalories: a 170 calorie can of beer actually contains 170,000 calories of digestible energy.

i) If a student foolishly decides to binge drink 21 beers on their 21t birthday, how many gallons of water could they have heated from room temperature (24 °C) to boiling (100 C) using an equivalent amount of digestible energy in the beer? Recall that one gallon of water is roughly 8 pounds.
ii) What is this energy equivalent to in BTU? A "BTU" or British Thermal Unit is also a unit of energy, defined as the amount of energy needed to raise the temperature of one pound of water by one degree Fahrenheit
iii) If you had purchased an equivalent amount of electrical energy in kW-hr from the utility company, how much would you have to pay? Is this cheaper than buying beer?

Answers

A "calorie" is a unit of energy that is defined as the usually inform you of the number of calories of digestible energy present in one serving of food. 21 beers times 17 calories per beer equals 357 calories.

What is "calorie"?Calories are units of energy that a food or drink provides. You can usually find calorie counts listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you're burning by doing different activities. Certain foods, such as fatty, fried, or processed foods, tend to have more calories. Other foods, such as fresh fruit and vegetables, tend to have fewer calories. However, some healthy fruits and vegetables can be high in calories, while low-calorie foods, such as diet soda, don’t provide any nutritional value. We need calories to give us enough energy to move around, stay warm, grow, work, think, and play. Even our blood circulation and digestion need the energy gained from calories in order to function well.

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describe an engineering advance that has led to greater knowledge about the solar system

Answers

development of the space shuttle to allow humans to explore the moon

Answer:

Space Rovers

Explanation:

The engineering advancement of the invention space rovers has changed space exploration tremendously. The first space rover ever to go out onto another planet was made by NASA and put on mars to learn more about the red planet and see if there where any plausible signs of past or maybe even present life. This mission was incredibly successful and for the first time in space exploration history, there was a spacecraft that you could move around that could with do the conditions of the planet for weeks, months, sometimes years at a time, moving around taking pictures and constantly collecting data. This was revolutionary for scientists, this way they could get copious amounts of information just on rover and not having to send multiple crafts only to die in the first few hours but sending back a relative amount of information. With rovers you can have them collect samples and bring the back to earth, not something  that could’ve been done without a human, until rovers. They have completely changed and improved collecting data from other planets and have been one of the most revolutionary inventions when it comes to space exploration.

This is what I put for the answer, hope it helps in some way.

_______________ is an effective way to manage waste in a shop.

Answers

Answer:

To reduce waste.

Explanation:

What audio effect will allow an audio group to send volume to a different audio group?

Answers

An audio effect that allows one audio group to send volume to a different audio group is called a "send effect."

Send effects are used in audio mixing to route a portion of an audio group's signal to a separate group, often for applying additional processing like reverb or delay.

This technique enables more control over the overall mix, allowing the engineer to adjust the balance and depth of the sound while preserving the original audio's integrity.

Commonly used in music production and live sound reinforcement, send effects contribute to a more polished and professional audio experience.

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Technician A says that a voltage drop on the ground side of a bulb won’t affect its brightness because the electricity has already been used up. Technician B says that a voltage drop is one way to determine if there is unwanted resistance in a circuit. Who is correct?

Answers

Answer:

  Technician B

Explanation:

For a given circuit current, the voltage drop is an indication of the resistance in the circuit.

If the voltage drop on the ground side of a bulb is unexpectedly high, it means the circuit resistance is unexpectedly high. Technician B is correct.

B/ Evaluate e^(πi/2)

Answers

You get a result immediately from Euler's formula:

e ^(i π/2) = cos(π/2) + i sin(π/2) = 0 + i * 1 = i

Question 5(Multiple Choice Worth 2 points)
The is the amount of time that the camera lets light in to create the photograph.
Aperture
Sensor time
Shutter speed
Power release

Answers

Answer:

I believe it is sensor time

Guide signs provide information about distance and direction. a. true b. false drivered

Answers

The statement "Guide signs provide information about distance and direction" is true. Guide signs are an important part of the traffic control system and are designed to provide drivers with information about the direction they should take and the distance to their destination.

These signs typically include information such as route numbers, names of cities or towns, and directional arrows. They are placed along roadways to help drivers navigate and make informed decisions while driving.

By following the information provided on guide signs, drivers can easily determine the correct direction to their destination and estimate the distance they need to travel. So, in summary, guide signs do provide information about both distance and direction.

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Why does an increase in total current result in lower output voltage of the loaded voltage divider circuit?

Answers

An increase in total current in a loaded voltage divider circuit results in a lower output voltage due to Ohm's Law and the voltage divider rule.

When the total current flowing through the circuit increases, the voltage drop across the resistors also increases. According to the voltage divider rule, the output voltage is directly proportional to the ratio of the resistances. As the current increases, the voltage drop across the resistors leads to a reduction in the output voltage.

This is because the output voltage is the difference between the input voltage and the sum of the voltage drops across the resistors in the circuit. Therefore, a higher total current leads to a lower output voltage in a loaded voltage divider circuit.

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Identified limitations to the design of a product or system are the

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Identified limitations to the design of a product or system are the constraints

Which sentence with an introductory phrase is punctuated correctly?

Answers

WHERE R THE SENTENCES

Water flows steadily through the pipe as shown below, such that the pressure at section (1) and at section (2) are 300 kPa and 100 kPa respectively. Determine the diameter of the pipe at section (2), D, if the velocity at section (1) is 20 m/sec and viscous effects are negligible.

Answers

Answer:

The velocity at section is approximately 42.2 m/s

Explanation:

For the water flowing through the pipe, we have;

The pressure at section (1), P₁ = 300 kPa

The pressure at section (2), P₂ = 100 kPa

The diameter at section (1), D₁ = 0.1 m

The height of section (1) above section (2), D₂ = 50 m

The velocity at section (1), v₁ = 20 m/s

Let 'v₂' represent the velocity at section (2)

According to Bernoulli's equation, we have;

\(z_1 + \dfrac{P_1}{\rho \cdot g} + \dfrac{v^2_1}{2 \cdot g} = z_2 + \dfrac{P_2}{\rho \cdot g} + \dfrac{v^2_2}{2 \cdot g}\)

Where;

ρ = The density of water = 997 kg/m³

g = The acceleration due to gravity = 9.8 m/s²

z₁ = 50 m

z₂ = The reference = 0 m

By plugging in the values, we have;

\(50 \, m + \dfrac{300 \ kPa}{997 \, kg/m^3 \times 9.8 \, m/s^2} + \dfrac{(20 \, m/s)^2}{2 \times 9.8 \, m/s^2} = \dfrac{100 \ kPa}{997 \, kg/m^3 \times 9.8 \, m/s^2} + \dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)50 m + 30.704358 m + 20.4081633 m = 10.234786 m + \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

50 m + 30.704358 m + 20.4081633 m - 10.234786 m = \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

90.8777353 m = \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

v₂² = 2 × 9.8 m/s² × 90.8777353 m

v₂² = 1,781.20361 m²/s²

v₂ = √(1,781.20361 m²/s²) ≈ 42.204308 m/s

The velocity at section (2), v₂ ≈ 42.2 m/s

Write a function display words() in python to read lines from a text file "story.txt", and display those
words, which are less than 4 characters.

Answers

The function "display_words()" in Python reads lines from a text file named "story.txt" and displays the words that have less than 4 characters. This function allows you to analyze the content of the file and extract specific information based on word length.

To implement the "display_words()" function, you can follow these steps:

1. Open the text file "story.txt" using the "open()" function and assign it to a file object.

2. Use a loop to iterate through each line in the file.

3. Split each line into words using the "split()" method, which splits a string into a list of words based on whitespace.

4. Iterate through the words and check if their length is less than 4 using the "len()" function.

5. If a word meets the condition, print it.

Here's an example implementation of the "display_words()" function in Python:

```python

def display_words():

   with open("story.txt", "r") as file:

       for line in file:

           words = line.split()

           for word in words:

               if len(word) < 4:

                   print(word)

By executing this function, you can read the lines from the "story.txt" file and display the words that have less than 4 characters, allowing you to analyze and process the text data based on your specific requirements.

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Calculate the peak current that will flow through this circuit assuming an ideal diode. 16. 97 mA during the positive half cycle 16. 97 mA during the negative half cycle 12 mA during the negative half cycle 12 mA during the positive half cycle

Answers

Note that the positive half cycle, the peak current is:  16.27mA

During the negative half cycle, the peak current is 12mA. The above is computed on the assumption that amplitude is 16.97mA

What is peak current?

The peak current is the largest amount of current that an output may provide for short periods of time. When a power source or an electrical device is turned on for the first time, a large amount of current flows into the load, beginning at zero and increasing until it reaches a maximum value known as the peak current.

The formula for Load resistor is used to compute the peak current.


I = V/RL

⇒ (|16.97| -0.7) / 1kΩ

= 16.27mA.


When the half cycle is negative:
|  = |-12| / 1kΩ
I = 12mA.

Both positive and negative are computed on the assumption that amplitude is 16.97mA

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A car is driven over a curb twice—once very slowly and once quite rapidly. What would you need to know about the car in the second case that you did not need to know in the first case if you were required to find the tire force that resulted from going over the curb?

Answers

Answer:

You'd need to know things like the weight of the car, the spring constant of the suspension springs.

Explanation:

Driving over the curb slowly does not have much of an "impact" because of the small potential energy it has but to find the force that results from going over the curb at a much higher speed, you would need to know the weight of the car since it directly impact the force that it applies. You also would need to know about the car's suspension, the spring material, how stiff the springs are and their spring constant to calculate the force they absorb.

I hope this answer helps.

Which option identifies the section of the project charter represented in the following scenario?
For the past five years, students at New School have been in desperate need of a playground. The closest playground is a mile away, at Safe
Park. Our project is to design a playground for the students and to find funding in the community to support it.
O executive summary
O constraints
O project objectives
O project development cycle

Answers

Answer:

Executive Summary

Explanation:

It is Executive Summary because I used process of elimination. Constraints are set backs. Project objectives are the goals that you want to achieve. Project development cycle are basically the steps that will be used.

____ emotions can influence your driving. A. Only some B. All of your C. Only negative D. Only positive

Answers

.........................

Most blueprints show more than one orthographic projection on an object because

Answers

Orthographics show individual views of the objects.

Multiview orthographic projection

A multiview projection is an illustration method used in technical drawing and computer graphics to build a standardised set of orthographic two-dimensional images to portray the shape of a three-dimensional object. Up to six pictures of an object are produced (called primary views), with each projection plane parallel to one of the coordinate axes of the object. The views are positioned relative to each other according to either of two schemes: first-angle or third-angle projection. In each, views can be conceived of as being projected onto planes that surround the object in a six-sided box. Although six different sides can be sketched, usually three views of a design supply enough information to make a three-dimensional object. These opinions are well-known.

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11. Two technicians are discussing tire rotation. Technician A says that you always follow the tire-rotation procedure outlined in the owner's manual or online service information. Technician B says that the modified "X" rotation pattern is seldom used. Which technician is correct? A. Both Technicians A and B B. Technician B only C. Neither Technician A nor B D. Technician A only ​

Answers

Answer:

Technician A

Explanation:

Technician A is correct. Technician B is wrong, as different drive vehicles (FWD, RWD, AWD, 4WD) each require a certain rotation for optimal tire wear.

The steel shaft has a diameter of 40 mm and is fixed at its ends A and B . If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa.
Q6/

Answers

Answer:

See explanation.

Explanation:

Since no figure was given I solved a problem that was similar to the one you described that I worked in my mechanics of materials class. The method should be very similar for your figure. See attached image for my work.

The steel shaft has a diameter of 40 mm and is fixed at its ends A and B . If it is subjected to the

If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.

What we need to perform?

We need to perform a two step process to obtain the maximum shear stress on the shaft. For the solid shaft,

P=2×pi×N×T/60 or T=60×p/2×pi×N

Where P=power transmitted by the shaft=50×10³W

N=rotation speed of the shaft in rpm=730rpm

Pi=3.142

T is the twisting moment

By substituting the values for pi, N and P, we get

T=654Nm or 654×10³Nmm

Also, T=pi×rho×d³/16 or rho=16×T/pi×d³

Where rho=maximum shear stress

T = twisting moment=654×10³Nmm

d= diameter of shaft= 40mm

By substituting T, pi and d

Rho=52Mpa

b. For a hollow shaft, the value for rho is unknown

T=pi×rho(do⁴-di⁴/do)/16

Rho=T×16×do/pi×(do⁴-di⁴)

Where

T= twisting moment=654×10³Nmm gotten above

do=outside shaft diawter=40mm

di= inside shaft diameter =30mm

Pi=3.142

Substituting values for pi, do, di and T.

Rho=76Mpa

Therefore, If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.

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A certain printer requires that all of the following conditions be satisfied before it will send a HIGH to la microprocessor acknowledging that it is ready to print: 1. The printer's electronic circuits must be energized. 2. Paper must be loaded and ready to advance. 3. The printer must be "on line" with the microprocessor. As each of the above conditions is satisfied, a HIGH is generated and applied to a 3-input logic gate. When all three conditions are met, the logic gate produces a HIGH output indicating readiness to print. The basic logic gate used in this circuit would be an): A) NOR gate. B) NOT gate. C) OR gate. D) AND gate.

Answers

Answer:

D) AND gate.

Explanation:

Given that:

A certain printer requires that all of the following conditions be satisfied before it will send a HIGH to la microprocessor acknowledging that it is ready to print

These conditions are:

1. The printer's electronic circuits must be energized.

2. Paper must be loaded and ready to advance.

3. The printer must be "on line" with the microprocessor.

Now; if these conditions are met  the logic gate produces a HIGH output indicating readiness to print.

The objective here is to determine the basic logic gate used in this circuit.

Now;

For NOR gate;

NOR gate gives HIGH only when all the inputs are low. but the question states it that "a HIGH is generated and applied to a 3-input logic gate". This already falsify NOR gate to be the right answer.

For NOT gate.

NOT gate operates with only one input and one output device but here; we are dealing with 3-input logic gate.

Similarly, OR gate gives output as a high if any one of the input signals is high but we need "a HIGH that is generated and applied to a 3-input logic gate".

Finally, AND gate output is HIGH only when all the input signal is HIGH and vice versa, i.e AND gate output is LOW only when all the input signal is LOW. So AND gate satisfies the given criteria that; all the three conditions must be true for the final signal to be HIGH.

Anyone help me please ?

Anyone help me please ?

Answers

Answer:

I can help but I need to know what it looking for

Consider an infinite lattice with coordination number z in which every site is occupied by a molecule. (As a reminder, the coordination number is the number of neighbors each site has). Each molecule can be in one of two states: an 'up' state, and a 'down' state. A system interacts only with adjancet particles that share its state (i.e. ups interact with ups and downs interact with downs). Each interaction of this kind contributes an interaction energy of -epsilon to the system's energy. Using a mean-field approach, compute the following. (a) The fraction of molecules in the up state as a function of reduced temperature kT/(epsilon*z) (b) The mean energy per site as a function of reduced temperature. Here are some hints. In doing this, you will want to use the perturbation (mean field) approach retaining only F0 and F1. To obtain F0, just compute the entropy of the lattice in the absence of interactions. To obtain F1, compute the energy that is then introduced to the system by the attractions, using the configurational probabilities from the reference (noninteracting state). For this second part, you will have to use the idea I introduced in class that in a non-interacting lattice the site probability is just given by a mole fraction. When you determine the fraction of molecules in the up state, the easiest way will be to use the criterion that F is at a minimum at equilibrium, i.e. dF/dX = 0. In this case, you will want to minimize with respect to the fraction of up or down sites. This equation will require some numerical solution near the end. Note also that below some temperature, there should be two solutions to this minimization, in terms of two possible equilibrium values of the mole fraction of up sites (or down sites). This leads to the final part of this problem: (c) Determine the reduced temperature below which two different fractions of 'up' molecules are possible at the same temperature.

Answers

i am just questing to point a ok ok ok this might not be right

the pinion gear a rolls on the fixed gear rack b with an angular velocity v = 4 rad>s. determine the velocity of the gear rack c

Answers

The velocity of the gear rack (c) is equal to the negative of the linear velocity of the point of contact:

vc= -vcontact= -v * r

the negative sign indicates that the gear rack moves in the opposite direction of the pinion gear.

to determine the velocity of the gear rack (c), we can use the concept of relative velocity between gears.

the velocity of the pinion gear (a) rolling on the gear rack (b) is given as v = 4 rad/s. let's assume that the radius of the pinion gear is r. since the pinion gear is rolling without slipping on the gear rack, the linear velocity of the point of contact between the pinion gear and the gear rack is equal to the angular velocity multiplied by the radius of the gear.

the linear velocity of the point of contact is given by:vcontact= v * r

now, the velocity of the gear rack (c) can be calculated by considering the fact that the point of contact between the pinion gear and the gear rack is stationary relative to the gear rack. in other words, the linear velocity of the gear rack at the point of contact is zero. so, if you know the angular velocity of the pinion gear and the radius of the gear, you can calculate the velocity of the gear rack using the equation vc= -v * r.

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2.5 a young engineer is asked to design a thermal protection barrier for a sensitive electronic device that might be exposed to irradiation from a high-powered infrared laser. having learned as a student that a low thermal conductivity material provides good insulating characteristics, the engineer specifies use of a nanostructured aerogel, characterized by a thermal conductivity of ka

Answers

The engineer chooses nanostructured aerogel with a low thermal conductivity to create an effective thermal protection barrier that can insulate the sensitive electronic device from the irradiation of the high-powered infrared laser.

The young engineer has been tasked with designing a thermal protection barrier for a sensitive electronic device that may be exposed to irradiation from a high-powered infrared laser.

The engineer has learned that materials with low thermal conductivity provide good insulation.

In this case, the engineer specifies the use of a nanostructured aerogel with a thermal conductivity of "ka".
Nanostructured aerogel is an excellent choice for thermal insulation due to its low thermal conductivity.

This means that it can effectively reduce the transfer of heat from the laser irradiation to the sensitive electronic device. The "ka" value represents the specific thermal conductivity of the aerogel, which indicates how well it can resist the flow of heat.

The lower the "ka" value, the better the insulation properties of the aerogel.
By using nanostructured aerogel as the thermal protection barrier, the engineer ensures that the sensitive electronic device is shielded from the potentially damaging effects of the laser's irradiation.

This helps to maintain the device's performance and integrity, preventing any potential overheating or malfunction.
In summary, the engineer chooses nanostructured aerogel with a low thermal conductivity to create an effective thermal protection barrier that can insulate the sensitive electronic device from the irradiation of the high-powered infrared laser.
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what is the purpose of diamond-shaped traffic signs

Answers

Diamond-shaped traffic signs are used to convey various types of information and warnings to drivers and other road users. Their purpose is to alert motorists to potential hazards, provide guidance on road conditions, and indicate the appropriate actions they should take to ensure safe driving.

Here are some common examples of diamond-shaped traffic signs and their meanings:

1. Warning signs: These signs are typically yellow with black text and symbols. They indicate potential hazards on the road ahead, such as sharp curves, steep grades, and deer crossings.

2. Railroad crossing signs: These signs feature a black crossbuck with the words "RAILROAD CROSSING" in white letters. They are used to indicate that drivers are approaching a railroad crossing and should be prepared to stop if necessary.

3. Construction signs: These signs are often orange and indicate that drivers are entering a construction zone where road work is in progress. They may include messages such as "ROAD WORK AHEAD" or "DETOUR".

4. Lane control signs: These signs are used to indicate which lanes are open to traffic and which are closed due to construction or other factors. They may also be used to indicate which lanes are reserved for certain types of vehicles, such as buses or high-occupancy vehicles.

Overall, diamond-shaped traffic signs serve an important role in helping drivers navigate the roads safely and responsibly. It's essential to pay close attention to these signs and follow their instructions to ensure your own safety and the safety of others on the road.

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A ___________ is defined as a change in shape of the part between the damaged and undamaged area hat is smooth and continuous . When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

Answers

A bend is defined as a change in the shape of the part between the damaged and undamaged area that is smooth and continuous.

What is a kink?

A kink can be defined as a sharp bend with a small radius over a short distance.

So when any part is kinked it must be replaced without any doubt. A part is kinked if it just doesn't work on the repair.

What is a bend?

Unlike a kink, a bend can be restored. That is after a bend also  a part can be bought back to its original position.

When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

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13. What two major safety problems does hydrogen present?

Answers

Answer:

The risks associated with the handling of liquid hydrogen are fire, explosion, asphyxiation and extremely low temperature exposure.

Answer:

fire, explosion, asphyxiation, extremely low temperature exposure/cold burns

Explanation:

Please help!!!!! Thank u

Please help!!!!! Thank u

Answers

Answer:

which class is this. I don't know sry

Other Questions
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