When selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
Given that,
No. of white balls = 6
No. of black balls = 9
Total number of balls = 15
Probability of 1st ball being white = 6/15
Probability of 2st ball being white = 5/14
(Since one white ball is already picked)
Probability of 3rd ball being black = 9/13
(Since two white balls are already picked)
Probability of 4th ball being black = 8/12
(Since two white balls and one black ball is already picked)
The probability that the first 2 selected are white and the last 2 black
= 6/15 * 5/14 * 9/13 * 8/12
= 6/91
Therefore, when selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
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Gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker. how many 7s are needed?
There are nineteen gym lockers that would have the digit "seven" on them.
How many sevens are there?In this problem, we need to know the number of gym lockers that would have the number 7 attached to them either as tens or digit as the lockers are numbered from one to ninety nine.
Let us now proceed which lockers would have the digit "seven" on them;
7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97. We can see that there are nineteen gym lockers that would have the digit "seven" on them.
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What is Issac Newton’s
Laws,
According to the first rule of motion, an object's motion will not alter unless there is a force acting on it.
According to the second law of motion, the amount of force exerted on an object is proportional to the product of the object's mass and its acceleration.
According to the third law, when two things interact with one other, the forces that they apply to each other are of equal magnitude but in opposing directions.
This is further explained below.
Who is Issac Newton?Generally, Isaac Newton, as he was formally known, was an English physicist and mathematician who was the leading light of the 17th century's Scientific Revolution.
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Answer:
look it up
Explanation:
Autotransformers are especially practical if the difference between the primary and secondary voltages is _____.
Autotransformers are especially practical if the difference between the primary and secondary voltages is realtively small.
What is Autotransformer?An autotransformer is a type of electrical transformer that has just one winding. The word "auto" refers to a single coil that runs autonomously, not to a system that runs without human intervention. The primary winding and secondary winding sides of an autotransformer are distinct portions of the same winding. While there is no metallic conducting channel between the primary and secondary windings of a normal transformer, they are separate. The autotransformer winding has at least three taps that are utilized to connect electrical appliances. In terms of size, weight, and cost, autotransformers usually outperform conventional dual-winding transformers, but they also have the disadvantage of lacking electrical isolation between the primary and secondary circuits. Autotransformers also have advantages in terms of reduced leakage reactance, fewer losses, lower excitation current, and higher VA rating for a given size and mass.Learn more about the Autotransformer with the help of the given link:
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Distance versus time is plotted and a best-fit line is found to be y = 0.098 x 0.01y=0.098x 0.01. what are the units of the slope 0.098?
The unit of the slope is m/s
Given that y = 0.098x + 0.01
According to slope formula, y = mx + c
Slope, m = 0.098
Slope of the line is equal to the velocity of the object in a distance-time graph. Unit of velocity is m/s.
Therefore, the unit of the slope is m/s
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11. A proton is uniformly accelerated from rest to 80.0% of the speed of light in
18 hours, 6 minutes, 45 seconds. What is the acceleration of the proton?
The acceleration of the proton is 3681 m/s^2
What is the acceleration?The term acceleration has to do with the change in the speed of the body with time. We can see here that the proton started from rest and was accelerated to 80.0% of the speed of light in 18 hours, 6 minutes, 45 seconds.
Initial velocity of the proton = 0 m/s (from rest)
Final velocity of the proton = (0.8 * 3 * 10^8 m/s) = 2.4 * 10^8 m/s
Time taken = 18 hours, 6 minutes, 45 seconds or 65205 s
Acceleration = 2.4 * 10^8 m/s - 0 m/s/65205 s
= 3681 m/s^2
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An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15 m if her initial speed is 3 m/s. what is the free-fall acceleration on the planet?
Answer:
R = V^2 sin 2 θ / g range formula
R is a maximum for θ = 45 and R = V^2 g
g = V^2 / R = 3^2 / 15 = .6 m/s^2
What is the difference between a scalar and a vector? a scalar has whereas a vector has categorize the quantities based on whether they are scalars or vectors.
The difference between a scalar quantity and a vector quantity can be found below.
What is a scalar and vector quantity?A scalar quantity is a quantity that has magnitude but not direction.
On the other hand, a vector quantity is a quantity with both magnitude and direction.
Examples of scalar quantities are;
SpeedTemperature LengthTime MassExamples of vector quantities are;
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Explain briefly the trnsmission of radio waves
Answer: A radio wave is generated by a transmitter and then detected by a receiver. An antenna allows a radio transmitter to send energy into space and a receiver to pick up energy from space. Transmitters and receivers are typically designed to operate over a limited range of frequencies.
Explanation:
As volume is held constant and the temperature increases, how would the pressure be expected to change?
Gay Lussac's Law states that when a gas is held at a fixed volume, its pressure is exactly proportional to its Kelvin temperature. The molecules of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more impacts on the container's walls.
What do you understand by pressure?Pressure is the term used to describe the physical force exerted on an object. A perpendicular force is applied to the surfaces of the objects per unit area. F/A is the fundamental formula for pressure (Force per unit area)
This is based on the supposition that the force is applied perpendicular to the surface area. The pressure would rise proportionately if you exerted the same amount of force over a larger surface area. 5 Pa would be the force of 5 N applied over the same area of 1 square meter.
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Your friend moved from chicago to buenos aires, argentina and said that she has observed constellations that cannot be seen in chicago. could this be true? group of answer choices
Yes, if my friend moved from Chicago to Buenos Aires, Argentina and said that she has observed constellations that cannot be seen in Chicago, because, two stars in same constellation may be actually very far away from each other.
What are constellations?Constellations are the groups of stars. The constellations you can see at night depend on your location on the Earth and the time of year. Constellations were named after objects, animals, & people long ago. Astronomers today still use the constellations to name stars and meteor showers. A constellation is group of stars that looks like a particular shape in the sky and has been given a name. These stars are far away from the Earth and they are not connected to each other at all. Some stars in a constellation might be close while others are very much far away. But, if you were to draw lines in the sky between the stars like a dot-to-dot puzzle – and use lots of imagination – picture would look like an object, animal, or person.
Why constellation is so important?constellation, in astronomy, any of certain groupings of stars that were imagined—at least by those who named them—to form conspicuous configurations of the objects or creatures in the sky. Constellations are useful in assisting the astronomers and navigators to locate certain stars.
Certain constellations can only be seen in Northern Hemisphere but disappear in Southern Hemisphere, the vice-versa is true as well. The Earth is a globe because constellations appear to shift and disappear due to spherical curvature of the Earth.
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what is the magnitude of your total displacement if you have traveled due west with a speed of 23 m/s for 165 s , then due south at 12 m/s for 285 s ?
Answer:
5108.7 m
Explanation:
23 m/s * 165 s = 3795 m
12 m/s * 285 = 3420 m
mag of resultant ( use pythag theorem)
sqrt ( 3795^2 + 3420^2) = 5108.7 m
What is the mass in kilogram of 680ml of a substance that has a density of 0.930?
Mass of substance is 0.6324 kg
Given:
volume = V = 680ml = 0.68 L
density = D = 0.930
To Find:
mass in kg
Solution: mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force.
Density = mass/volume
mass = Density x Volume = 0.93 x 680
Mass = 0.6324 kg
Hence, the mass of substance is 0.6324 kg
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A bare helium nucleus has two positive charges and a mass of 6.64 10-27 kg. Calculate its kinetic energy in joules at 5.00% of the speed of light.
The kinetic energy of the helium nucleus will be 4.98 x 10⁻¹³ J
Kinetic energy can be define as , that it is a form of energy that an object or a particle is cause of its motion. Its unit is joule i.e. j & it is given as,
K.E. = 1/2 mv²
where , m is mass of the particle and v is the velocity of the particle .
Energy can be expressed as, the ability to perform work. Energy can neither be created nor destroyed, but it can only be transformed from one form to another. The unit of energy is joule .
Mass of helium nucleus = m = 6.64 x 10⁻²⁷ kg
Speed of light = c = 3 x 10⁸ m/s
Speed of light at 5.00% = c = 5.00/100x 3 x 10⁸ m/s = 1.5 x 10⁷ m/s
The kinetic energy of the helium nucleus can be given as ,
K.E = ¹/₂mc²
K.E = ¹/₂ x (6.64 x 10⁻²⁷) x (1. 5 x 10⁷)²
K.E = 4.98 x 10⁻¹³ J
Therefore, the kinetic energy of the helium nucleus is 4.98 x 10⁻¹³ J
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Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. Do not consider any effects due to gravity. In which direction does the electric field point?.
Five particles are shot from the left into a region that contains a uniform electric field. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. The electric field point towards the bottom of the page.
What are electric fields?An electric field is a physical field around a charged particle or object which has the ability to surround electrically charged particles and exerts force on all other charged particles that are present in the field.
This force exerted upon them is either attracting or repelling them. This electric field also refers to as the physical field for a system of charged particles.
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Sabrina is studying exercise physiology. What is MOST likely to be the
main focus of her studies?
O how bodies react when muscles are put to use
O how skeletal bones affect exercise form and posture
O how the lungs and heart respond to aerobic workouts
how anaerobic workouts boost metabolism
According to the research, the correct option is how the lungs and heart respond to aerobic workouts. It is most likely to be the main focus of her studies of exercise physiology.
What is exercise physiology?It is the medical specialty that includes the study and understanding of physical activity as a physiological stimulus and its repercussions on each of the organs of the human body, their behavior and responses.
In this sense, during physical activity or exercise, cardiovascular physiological adaptations occur that improve physical performance since all the body's systems are automatically activated and in tune.
Therefore, we can conclude that according to the research, the correct option is how the lungs and heart respond to aerobic workouts. It is most likely to be the main focus of her studies of exercise physiology.
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20 drops of an essential oil have a mass of 407.7 mg (milligram) and a density of 0.875g/cm3. what is the volume occupied by the drops?
Volume occupied by the drops is 0.46 cm^3
Given:
no. of drops of oil = 20 drops
mass of 20 drops = 407.7 mg
Density of 20 drops = 0.875g/cm3
To Find:
Volume occupied by the drops
Solution:
Density is define as mass per unit volume
by using the formula we can find volume
Density = mass/volume
0.875 = 0.4077 gram/ volume
Volume = 0.4077 gram/0.875 = 0.46 cm^3
Hence, volume occupied by 20 oil drops is
0.46 cm^3
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In the system, kinetic energy from the moving water of the faucet turns the turbine. The __ energy of the spinning turbine generates __ energy which is transformed into __ energy that causes the temperature of the water to increase. The water then becomes steam and gives off more __ energy into the atmosphere.
In the system, kinetic energy from the moving water of the faucet turns the turbine. The Mechanical energy of the spinning turbine generates Electrical energy which is transformed into Thermal energy that causes the temperature of the water to increase. The water then becomes steam and gives off more Thermal energy into the atmosphere.
The mechanical energy spend on the turbine to spin would generate electrical energy. This electrical energy then converts the moving electric charge into thermal or heat energy. The heat would convert water to steam.
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A car covers a distance of 200m. If its velocity is 20 m/s², calculate the time taken.
Identify the element(s) and standard(s) of critical thinking with corresponding essential question(s) relative to your perception of the ethical dilemma.
An ethical dilemma describes a conflict between two morally correct courses of action.
Being able to reason effectively and logically about what to believe or do is known as critical thinking. It comprises the capacity for independent and thoughtful thought. These are some examples of what someone with critical thinking abilities can do:
Recognize the logical relationships between concepts.Determine, create, and assess arguments.Find logical errors and common contradictions.Approach issues methodically.Determine the applicability and significance of concepts.Consider how one's own values and opinions are justified.The ability to think clearly and rationally is crucial whatever we choose to undertake. It should go without saying that critical thinking is crucial if you work in the fields of education, research, business, law, or management.
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A velocity vector has a magnitude of 25.0 m/sm/s . if its yy component is -10.0 m/sm/s , what are the possible values of its xx component?
The possible values of its xx component are 13, 9.
What is component?A part is a practically free piece of any framework. It carries out some role and may require some information or produce some result. A part in programming is frequently addressed by classes. Each piece of a two-layered vector is known as a part. The parts of a vector portray the impact of that vector in a provided guidance. The consolidated impact of the two parts is comparable to the impact of the single two-layered vector. The part strategy is a method for adding various vectors to each other in physical science. It empowers the option of right-calculated vector parts to find a resultant vector having an extent and heading that relies upon the singular parts added.
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Which has higher kinetic energy: a sled resting at the top of a hill or a sled sliding down the hill? a sled sliding down the hill a sled resting at the top of a hill
A sled sliding down the hill will have more Kinetic energy than a sled resting at the top of a hill.
We know that,
Kinetic Energy KE = [tex]1/2 mv^{2}[/tex]
A sled resting at the top of a hill will have zero velocity.
KE of a sled resting at the top of a hill = 0
Kinetic Energy is the energy of motion which is directly proportional to the velocity of the object.
Therefore Kinetic energy of a sled sliding down the hill is more than that of a sled resting at the top of a hill.
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a skateborder traviling at 7.0m/s/s rolls to a stop at the top of a ramp in 3.0 seconds what is the skateborder's acceleration?
Answer:
-2.33 m/s^2
Explanation:
initial speed u = 7m/s
final speed v= 3s
acceleration a = (v-u)/t
a= -7/3= -2.33 meter per second square.
The substance that maintains body temperature, and acts as a lubricant and protective cushion is:_______
Water serves as a lubricant and a shock absorber as part of body fluids.
Which of the following nutrients controls body temperature and lubricates joints?Water transports vital nutrients within the body, eliminates waste, and regulates body temperature. It keeps our youthful, able bodies active and healthy by acting as a lubricant around joints and a shock absorber for the body's organs.Which nutrient helps the body regulate and maintain body temperature?60% of our body mass is made up of water, a nutrient. It is a component of every cell and tissue in the body and serves a variety of critical activities. Water distributes other nutrition to all parts of the body, it takes waste out of the blood and it helps to maintain body temperature.learn more about here
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An object is pulled northward with a force of 10 n and southward with a force of 15 n. the magnitude of the net force on the object is:________
a. 0 n.
b. 5 n.
c. 10 n.
d. 15 n.
e. none of these
The correct option is (b) 5n
A result, the object is being acted upon by a net downward force of 5N.
Briefing :The force that is produced by summing the vector sums of all the forces acting on an object is known as the resultant force. The effect of the resulting force is the same as the sum of all the acting forces operating on the object. The direction of the forces must be considered when calculating the resulting force.
The northward force is Fn = 10N, given.
Fs = 15N is the southern force.
The net force on the phone is Fnet =?N, which is necessary.
Downward pressure is applied by the object's weight, and upward pressure is applied by upward resistance. The vector sum of these two forces will represent the net force.
Fnet = Fs - Fn (Considering the direction downward as positive)
Fnet = 15N - 10N
Fnet = 5N
There is a net downward force of 5 N acting on the object as a result.
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Which layer of the osi model ensures the data being sent from the sender is formatted correctly so it can be interpreted correctly by the recipient system?
The presentation layer is sometimes known as the syntax layer since it is in charge of ensuring that the data it either receives or transmits to other layers has the correct syntax. Data sent across the network is formatted and encrypted by the presentation layer.
What is meant by the presentation layer?The presentation layer, which is layer 6 in the seven-layer OSI model of computer networking, acts as a network's data translator. It is referred to as the syntactic layer at times.
The communication is given to the top layer in a defined format thanks to the presentation layer (Layer 6). It deals with the messages' syntax and meaning. Communication across disparate systems, encrypts messages from the user-dependent format to the common format and vice versa.
The presentation layer, which is located at Layer 6 of the Open Systems Interconnection (OSI) communications architecture, makes sure that all communications passing through it are in the right format for the destination application. In other words, from the application layer's point of view, it provides the data in a comprehensible format.
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The number of calories that you can eat a day without gaining weight depends on your _____.
The number of calories that you can eat a day without gaining weight depends on your activity level
For there to be a balance between the number of calories consumed through food and weight gain, it is important to maintain a good level of physical activity that helps us to maintain a healthy weight and at the same time does not allow an increase in weight and body mass.
All this is because the relationship between daily calories consumed and weight gain is directly proportional to the level of physical activity that we do.
What is body mass?It is the amount of mass associated with a person's body
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4. Apply Scientific Reasoning Four boys push
on the front, back, and sides of a shopping
cart. The boys in the front and on the two
sides push with a force of 60 N. The boy in
back pushes with a force of 50 N. Which way
does the cart move?
The body would be moved in the forward direction by a net force of 10N.
What direction does the cart move?We know that force is a vector quantity. This implies that it has both magnitude and direction. The net force that acts on a body is the resultant force and this is the force that would move the object in a given direction. The object moves in the direction of the net force.
We are told that the forward force = 60 N
The backwards force = 50 N
We now have to determine the net force in order to understand the direction in which the body would move.
Net force = 60 N - 50 N = 10 N
It then follows that the body would be moved in the forward direction by a net force of 10N.
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A jetliner goes from rest to a takeoff speed of 183 mi/h in 36.1 s. what is the magnitude of its average acceleration?
A jetliner goes from rest to a takeoff speed of 183 mi/h in 36.1 s.
the magnitude of its average acceleration is 81.80
CalculationTake off speed of the jetliner = 183 mi/h
so time taken = 36.1s
average acceleration = change in velocity / time taken
= (183 x 1609.3)/ 3600
= 81.80 m/[tex]s^{2}[/tex]
What is average acceleration?The rate at which an object’s velocity changes is measured as its acceleration. Since it is a vector, speed and direction are also included. In the SI, acceleration is measured in meters per second squared (m s 2).
An object’s velocity is how quickly it is travelling in a specific direction. A vector, that is. In the SI, velocity is measured in meters per second (m s).
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An ion of aluminum has a charge of 3 . the ion contains 10 electrons. how many protons does a neutral atom of aluminum possess?
a. 3
b. 10
c. 13
d. 16
The correct toption is (C) 13
The neutral atom of aluminum possess 13 protons.
Aluminum, denoted by the letter Al, is a group 3 element on the periodic chart. Total weight is 27 kilos. Since the number of electrons and protons in a neutral atom are equal, an aluminum atom that is neutral or uncharged has 13 electrons, 13 protons, and 14 neutrons. Keep in mind that the product of protons and electrons determines mass.The solution to this is that a 3+ charge on an aluminum ion means that an aluminum atom has lost three electrons, or 13 electrons - 3 electrons = 10. An aluminum atom will consequently have 10 electrons because it has a +3 charge. The fact that an aluminum atom possesses 13 protons when it is in a neutral state is unaffected by this.Learn more about the quantum mechanics with the help of the given link:
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For what type of object is the period-luminosity relation used for determining distances?
a. rr lyrae variables
b. t tauri variables
c. cepheids cataclysmic variables
d. planetary nebulae
Cepheids cataclysmic variables object is the period-luminosity relation used for determining distances.
What is Cepheids cataclysmic variables?Cepheid Variables are very bright stars that are 500–300,000 times as bright as the sun. They undergo brief variations every 1–100 days. They are pulsing variables that follow a predetermined pattern and experience rapid expansion and contraction. Other pulsating variables include RR Lyrae stars, which are short period, older stars that are not as massive as Cepheids; and RV Tauri stars, which are super giants with higher light fluctuations. Astronomers may study the variability of a Cepheid's brightness to determine its distance.
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