The cannonball will travel 311.8 m horizontally. Among the given options, 310 m is the correct answer.
What is a Projectile ?
A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²T = ?R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 312 m approximately horizontally.
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If a current of 2. 4 a is flowing in a wire of diameter 2. 0 mm, what is the average current density?
The average current density is 7.6 × 10⁵ A/m².
To calculate the current density current will be 2.4 A.
Diameter of a wire = 2mm.
The cross-sectional area of the wire is given by r = d/2
where r is the radius of the wire.
Then, the cross-sectional area is = 0.00000314159265
= 3.1 × 10⁻⁶ m².
What is average current density?Consider a current carrying conductor, the current density depends upon the current flow in the conductor. If the current flow in the conductor will be high then the current density will also be high. Using the average current flowing through the conductor, the average current density will be found.
Average current density j = I / A Ampere/ meter².
By substituting the values in the formula,
j = 2.4 / ( 3.1 × 10⁻⁶)
= 7.6 × 10⁵ A/m².
Hence, the current density can be calculated.
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What is semiconductor device that produces electric current through the effect for which its named?
The semiconductor device that produces electric current through the effect is termed as transistor.
To find the answer, we have to know more transistor.
What is transistor?Transistors come in two different types: field-effect transistors and bipolar junction transistors. The formation of two p-n junctions in various configurations, such as n-p-n or p-n-p, results in bipolar junction transistors. The emitter, collector, and base, or middle region, are the three areas that form in a transistor.The conductivity of the field-effect transistor, which is based on the conductivity principle, can be changed by an electric field.Thus, we can conclude that, the semiconductor device that produces electric current through the effect is termed as transistor.
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Which mystery primate is a biped? list the characteristics you choose to justify your answer
Primate B mystery primate is a biped.
The characteristics are:
The vast majority of primates live in trees (Notable exceptions are humans and gorillas).The majority of primates have upright upper bodies and occasionally walk on two feet (Humans are erect and always exhibit bipedalism).All primates have smaller noses and matching olfactory brain regions (except Lemurs).Compared to other mammals, primates have enormous brains for their size. Stereoscopic vision, hand-eye coordination, and manual dexterity are all governed by the brain's enlarged regions.Considering the size of the animal, long gestationsPrimate sociality is rather high in general.The majority of primates are nocturnal.The highly enjoyable action of grooming is shared by all highly evolved primates, including humans.PrimateLemurs, lorises, tarsiers, monkeys, apes, and humans are all included in the biological order called primates. Class Mammalian of the phylum Vertebrate includes creatures with qualities that have evolved recently in the taxonomic classification of the animal kingdom. 19 subtaxa known as orders have been added to the Mammalia classification. Primates are one of such groups, which contains eutherian animals like monkeys and apes. As a result, during a period of 30 million years, new world and old world monkeys underwent different adaptive radiations and were reproductively isolated. The Oligocene epoch saw the evolution of prosimians. About 30 million years ago, all currently extant primates underwent evolution.
Which mystery primate is a biped? list the characteristics you choose to justify your answer
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Southern hemisphere winds move surface water 90 degrees to the left of the direction of the wind.
a) true
b) false
Southern hemisphere winds moving surface water 90 degrees to the left of the direction of the wind is a true statement.
What is Wind?This is referred to as the natural movement of air and other gases present in the atmosphere.
In the southern hemisphere, the surficial ocean waters which are moved by wind will result in a net perpendicular leftward movement to it thereby making it the most appropriate choice.
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When constructing a climograph one needs to know the annual_________ temperature and wind speed.
A Final statement or concluding statement
When constructing a climograph one needs to know the annual average temperature and wind speed.
What is the purpose of Climographs?A climograph is a graph that depicts an area's average (mean) precipitation and temperature.
It is used to compare the climate of various locations.
Climographs are made to compare climates in various locations.
Climographs simplify a large amount of numerical data into a simple depiction of bars and lines.
Climographs are useful for observing trends in climate and comparing climates in different locations since they are so basic.
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what is the definition of laws of conservation
Answer:
conservation law, also called law of conservation, in physics, a principle that states that a certain physical property (i.e., a measurable quantity) does not change in the course of time within an isolated physical system.
Explanation:
The definition of a conservation law in physics asserts that a certain observable attribute of an isolated physical system doesn't change over time.
A generator produces 38 mwmw of power and sends it to town at an rms voltage of 78 kvkv. part a what is the rms current in the transmission lines?
The rms current in the transmission lines is I = 487.18 A.
The root-imply-rectangular (rms) voltage of a sinusoidal supply of electromotive force is used to represent the source. it is the rectangular root of the time average of the voltage squared.
Alternating-present day circuits. the root-imply-square (rms) voltage of a sinusoidal source of electromotive force is used to symbolize the supply. it's far the square root of the time average of the voltage squared.
Electric power is by using present day or the waft of electric fee and voltage or the capacity of rate to deliver electricity. A given cost of power can be produced by using any combination of contemporary and voltage values
power = 38 M watt
rms voltage = 78 K v
power = IV
I = power/V
I = (38 * 1000000)/78*1000
I = 487.18 A.
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What is the concentration of the acute leukemia cc95 combination value in micromolar (μm) units?
The concentration of the acute leukemia cc95 combination value in micromolar (μm) units is 6 × 10-4 μM.
Acute lymphocytic leukemia (ALL) is also called acute lymphoblastic leukemia. “Acute” means that the leukemia can progress quickly, and if not treated, would probably be fatal within a few months. "Lymphocytic" means it develops from early (immature) forms of lymphocytes, a type of white blood cell.
A rapidly progressing cancer that starts in blood-forming tissue such as the bone marrow, and causes large numbers of white blood cells to be produced and enter the blood stream.
In acute leukemia, the abnormal blood cells are immature blood cells (blasts). They can't carry out their normal functions, and they multiply rapidly, so the disease worsens quickly. Acute leukemia requires aggressive, timely treatment.
This corresponds to 0.6 × 10^-9 M × (1 μM/1 × 10^-6 M) = 0.6 × 10^-3 μM = 6 × 10-4 μM.
Acute myeloid leukemia (AML) is caused by a DNA mutation in the stem cells in your bone marrow that produce red blood cells, platelets and infection-fighting white blood cells. The mutation causes the stem cells to produce many more white blood cells than are needed.
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A vector of magnitude 20 is added to a vector of magnitude 25. the magnitude of this sum can be?
The sum of vectors lie between 5 - 45
We all know that Vector is a quantity of Magnitude and Direction.
Couple of examples of Vector quantity are Acceleration, Displacement, Force, Momentum, Velocity
Let's solve the problem:
I A I is given as 20
I B I is given as 25
The sum of vectors lie between their maximum and minimum
Hence,
MIn < Sum of Vectors < Max
I A-B I < Sum of Vectors < I A + B I
I 20 - 25 I < Sum of Vectors < I A + B I
5 < Sum of Vectors < 45
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A 3. 5-a current is maintained in a simple circuit with a total resistance of 1500 ω. What net charge passes through any point in the circuit during a thirty second interval?.
Electric Current:
Electric current is the flow of charge through a given circuit per unit time. Electric current is one of the components needed to calculate the electric power that a device needs to operate and do work. Electric current is measured in amperes (A), which is equal to:
1A = 1 C/ s
Recall that the coulomb (C) is the unit for charge while the second (s) is the unit for time
Given: I = 3.5
A is the current
Δt =30 s is the time interval
A =ΔQ/ΔT
Net charge = 100C
Electricity is produced when an electric current runs through a circuit.
How does electric current work?
A current of electricity is a steady flow of electrons. When electrons move from one place to another, round a circuit, they carry electrical energy from place to place like marching ants carrying leaves. Instead of carrying leaves, electrons carry a tiny amount of electric charge.
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How should the magnetic field lines be drawn for the magnets shown below?
Option B is the correct answer that show how magnetic field lines should be drawn for the magnets shown in the figure.
What is Magnetic Line of Force ?The Magnetic Line of Force of a magnet is defined as the line along which a free N - pole would tend to move if placed in the field of a line such that the tangent to it at any point gives the direction of the field at that point.
When the two unlike poles are placed to each other, there will be attraction. And when the two like poles are placed to each other, there will be repulsion. The reason is that the line of force tend to move from the north pole to the south pole.
From the given diagram, the two magnets are of the same south pole. They are of like pole and there will be repulsion between the two magnets.
Therefore, Option B is the correct answer that show how magnetic field lines should be drawn for the magnets shown in the figure.
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Answer: B
Explanation:
I got the question right
Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat q for the aluminum cup is 141 J.
What is Specific heat?A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.
change in heat -
The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.
The answer's sign dig is determined by a calculation's lowest sign digits.
The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).
31.91 g * 0.903 J/g-C * (26.1 - 21.2 C) = 141 J
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The distance between two crests a and b of a wave is 24cm. if there are two crests in between a and b, then the wavelength of the wave is
The wavelength of the wave is 23.55 rad/s.
What is a wavelength simple definition?
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Distance b/w one crest and one trough is λ/2 and b/w two crests or two trough it is λ.
Therefore from 2nd crest to 6th trough the total distance
= 4 λ + λ /2 => 9 λ/2
that is given as:
9 λ/2 = 24 cm
λ= 16/3 cm
V = w/k => w × λ /2pi => w = 2 × 3.14 × 20 × 3/16 => 23.55 rad/s
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If the pressure on a gas is increased, then its volume will decrease because the gas molecules will be pushed closer together. did the data support the hypothesis (above)? justify your answer.
Boyle's Law
As weight was added to the top of a syringe, the volume of the air trapped in the syringe decreased. The weight and the surface area of the plunger were used to calculate pressure. As more weight was added, the pressure increased. The volume decreased in response.
What is Boyle's law ?As the pressure on a gas increases, the volume of the gas decreases because the gas particles are forced closer together. Conversely, as the pressure on a gas decreases, the gas volume increases because the gas particles can now move farther apart
A contained gas's pressure will rise when its volume is reduced, and fall when its volume is increased. In actuality, the pressure reduces by the same factor as the volume increases, and vice versa.Learn more about Boyle's law here:
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Answer:yes
Explanation:
Sample Justification: As weight was added to the top of a syringe, the volume of the air trapped in the syringe decreased. The weight and the surface area of the plunger were used to calculate pressure. As more weight was added, the pressure increased. The volume decreased in response.
then
yes and yes
The resonance frequency of a driven rlcrlc circuit is 1600 hzhz. part a what is the resonance frequency if the resistance rr is doubled?
The resonant frequency of a driven rlcrlc circuit is 1600 hzhz. The resonant frequency is doubled if the resistance rr is doubled
The natural frequency at which a material vibrates with the greatest intensity is called the resonant frequency. The symbol for resonance is typically f0. Resonance is seen in items that are in balance with the forces at work and, in ideal circumstances, could vibrate indefinitely.
A resonant frequency is a natural vibrational frequency in sound applications that is established by the physical characteristics of the vibrating object.
The resonant frequency is advantageous because, in the event of resonance, the oscillation's deflection increases. In acoustics, a greater sound wave amplitude results in greater sound pressure and, thus, a greater volume. For loudspeakers, resonant frequencies are typically undesired.
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What term appears in total energy equation of a flowing fluid, that does no appear in the total energy equation for a non-flowing fluid?
The Kinetic energy per unit volume appears in total energy equation of a flowing fluid, that does not appear in the total energy equation for a non-flowing fluid.
Kinetic Energy per unit volume is defined as the Kinetic energy of the flowing fluid per unit volume.
Bernoulli Equation is a equation that remains constant for a given fluid which comprises of Potential energy per volume, Kinetic energy per volume and Pressure.
It is given by:
P + ρgh + ρv²/2 = constant
where, P is the Pressure
ρ is the density of fluid
g is acceleration due to gravity
h is the height
v is the velocity
∴ ρgh is called as Potential energy per volume
∴ ρv²/2 is called as Kinetic energy per volume
In a Flowing Fluid:
P is presentPotential energy per volume is presentKinetic energy per volume is present since velocity is presentIn a Non-Flowing Fluid:
P is presentPotential energy per volume is presentKinetic energy per volume is absent since velocity is absentHence, Kinetic Energy per unit volume does not appear in the total energy equation for a non-flowing fluid but appears in total energy equation for a flowing fluid.
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What effect does the diameter of the string have on the lever arm? explain why we can ignore this effect
The effective lever arm will be enhanced if we utilize a big diameter string.
What is Lever Arm?The perpendicular distance from the axis of rotation to the force's line of action is specified as the lever arm.
When a big diameter string is utilized, the effect of the diameter on the string of the lever arm will be enhanced.
This is due to the reason that if the radius of the pulley is R and the radius of the string is r, then the effective lever arm becomes R+r.
If the radius,r of the string is very minute such that its addition to the radius of the pulley, R will hardly make a change to the effective lever arm, then it is avoided. However, if the radius of the string is a big number then it can not be avoided as it can make significant errors in the calculation of the effective lever arm.
Hence, The effective lever arm will be enhanced if we utilize a big diameter string.
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According to hubble's law, with = 70 km/s. What is the recessional velocity of a galaxy at a distance of 180 mpc?
The recessional velocity of a galaxy at a distance of 180 mpc will be 70 km/sec
Hubble's law, which says simply that a galaxy's velocity (or as is sometimes plotted, its redshift) is directly proportional to its distance, also tells us something important about the state of the universe. If the universe is static and unchanging, there should be no correlation between distance and velocity.
Recessional velocity is the rate at which an extragalactic astronomical object recedes (becomes more distant) from an observer as a result of the expansion of the universe. It can be measured by observing the wavelength shifts of spectral lines emitted by the object, known as the object's cosmological redshift.
Recessional velocity = Hubble's constant * distance
= 70 km/sec/Mpc * 180 Mpc
= 70 km/sec
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The virus-induced, specific damage to the host cell that can be seen in a light microscope is called:________
Answer:
It's called, "Cytopathic effects."
What happens to heat energy when it is not increasing the temperature of the substance in the beaker? use your heating curve to explain your answer
When heat energy is not increasing the temperature of the substance in the beaker, the heating curve will start to increase and then flatten as it melts and is a solid with liquid.
What is Heating curve?This can be referred to as a type of graph which shows the relationship between the heating system supply temperature and the outside air temperature.
The heat energy not being able to increase the temperature is the reason why there will be solid present in the liquid. This is as a result of it not reaching its required melting point which is why all the substances aren't melted and is therefore the most appropriate choice.
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Can a wire carry a current and still be neutral—that is, have a total charge of zero? Explain.
When a wire is carrying current, charges enter the wire at the positive terminal of the voltage source and exit at the negative terminal, keeping the overall charge at zero throughout the current's passage.
Wire carries a current and still be neutral:Charge moving across a conductor produces current. There is always the same number of electrons in a wire today. As a result of an equal amount of electrons entering and exiting the circuit simultaneously, current flows through the wire when electrons enter the circuit. Current flow may nevertheless be neutral with no overall charge.
Neutral wires do indeed carry current. In single-phase circuits, the current flows in the opposite direction from the "phase" or "line" or "hot" wire, but it is exactly equal to that current. Out of "line," into "neutral," back into "line," and finally back into "neutral" and back into "line" (since it is AC the direction reverses every cycle.)
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A bus travelling at 30m/s along a straight road passes throu a stationary taxi cab.the can begins to move 5seconds later within a uniform acceleration of 2metres per seconds square in the same direction as the bus.1.calculate the time taken by the cab to meet the bus.2.distance the cab has travelled to catch-up with the bus
(1) The time taken by the cab to meet the bus is 18.96 seconds.
(2) The distance the cab has travelled to catch-up with the bus is 718.96 m.
Distance between the bus and the cab
The distance between the bus and the cab when the cab begins to move is calculated as follows;
D = speed x time
D = 30 m/s x 5 s
D = 150 m
Velocity of the cabThe velocity of the cab when it begins to move is calculated as follows;
v = at
(v - 30)t = D
(at - 30)t = 150
(2t - 30)t = 150
2t² - 30t = 150
2t² - 30t - 150 = 0
solve the quadratic equation using formula method
t = 18.96 seconds
Distance traveled by the cabD = vt
D = 2t²
D = 2(18.96²)
D = 718.96 m
Thus, the time taken by the cab to meet the bus is 18.96 seconds. The distance the cab has travelled to catch-up with the bus is 718.96 m.
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When two vectors are added geometrically (by drawing them), how are they arranged?
Two vectors are added geometrically (by drawing them), they arranged in such a way that Tail of one touching the head of the other .
A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Triangle law of vector addition is used to find the sum of two vectors when the head of the first vector is joined to the tail of the second vector.
Magnitude of the resultant sum vector R: R = √([tex]P^{2}[/tex] + 2PQ cos θ + [tex]Q^{2}[/tex])
According to the Parallelogram law of vector addition: If two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors. drawn from the same point.
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A spaceship travels at approximately 0. 25c with respect to earth. this means 24 hours at the spaceship will be x hours to us on earth. find the time passed ton earth
The time passed on earth is mathematically given as
t' = 24.79 hrs
What is the time passed on earth?
Generally, the equation for is time mathematically given as
[tex]t' = \gamma t[/tex]
Where
[tex]\gamma = Lorentz\ factor \\\\\gamma = 1/ \sqrt {(1 - v^2/c^2)}[/tex]
[tex]t' = t/ \sqrt {(1 - v^2/c^2)}[/tex]
Therefore
[tex]t' = 24/ \sqrt {(1 - (0.25c/c)^2) }[/tex]
[tex]t'= 24/ \sqrt {(1 - 0.25^2)[/tex]
t' = 24.79 hrs
In conclusion, the time passed on earth
t' = 24.79 hrs
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If you apply 10.0 n of force to lift an object with a single, fixed pulley, then what is the resistive force?
Resistive force against 10.0 N of force to lift an object with a single, fixed pulley will be 10 N
Resistive force is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body
A resistive force is one that inhibits or resists the motion of an object. It acts in a direction opposite to any motion or applied force that is trying to move the object. The most common resistive force is friction where an object is held back from sliding across a surface.
The force that the string (or similar) exerts on the object in these types of problems is called tension. Resistive Forces These include: Friction which is a force that prevents, or tries to prevent, the slipping or sliding of two surfaces in contact.
Hence , resistive force against 10.0 N of force to lift an object with a single, fixed pulley will be 10 N but in opposite direction to where pulley is been lifted .
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The radiation emitted by a heat source reaches its peak wavelength at 6. 69 µm. determine the temperature (in celsius) of the source
the temperature of the source is 159.884°C
How to determine the temperature of the source ?given data:-
λmax=6.69
by using weins law:- Wien’s law, also called Wien’s displacement law, relationship between the temperature of a blackbody (an ideal substance that emits and absorbs all frequencies of light) and the wavelength at which it emits the most light .The wavelength at which maximum radiation is emitted is expressed by the Greek letter “ λ ”.T is the object's temperature in Kelvin, and the constant is 2,897 μm.The higher the object's temperature, the faster the molecules will vibrate and the shorter the wavelength will be.
λmax = constant / temperature(in kelvin) temperature(in kelvin) = constant/λmax temperature(in kelvin) =2897/6.69
temperature(in kelvin)=433.03
temperature(in celsius) = temperature(in kelvin)-273.15
temperature(in celsius)= 159.88
Thus from the above conclusion we can say that at peak wavelength at 6. 69 µm the temperature is 159.884°C.
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A river is flowing south at a constant speed of 1.20 m/s. The river is 45 meters wide.
Alice swims in the direction perpendicular to the river.
In order to target the spot 90 meters south of the starting point on the bank of the other side, what should be Alice’s speed relative to the water?
Alice's speed relative to the water should be 0.6 m/s in order to target the spot 90 meters south of the starting point on the bank of the other side.
What is relative velocity?Relative velocity refers to the velocity of an object with respect to another observer.
Velocity is speed in a given direction and is a vector quantity.
Velocity = displacement/timeThere is relative velocity between Alice and the water.
Let Alice's velocity relative to the river be x
Time it will take her to cross the river = 45/x
The displacement of the river in that time is given below as;
Displacement = velocity * time
Velocity of river = 1.20 m/s
time, t = 45/x
d = 90 m
90 = 1.2 * 45/x
90x = 54
x = 54/90
x = 0.6 m/s
Therefore, Alice's speed relative to the water should be 0.6 m/s.
In conclusion, relative velocity is the velocity of one object from the reference point of another object.
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Write an equation that expresses the first law of thermodynamics in terms of heat and work.
Answer:
Heat Input = Work Output (at 100% efficiency)
ΔQ = ΔW
(you cannot get something for nothing)
What are the two decisions that you can make from performing a hypothesis test? what are the two decisions that you can make from performing a hypothesis test? select all that apply
When conducting a hypothesis test there are two possible decisions that you can make: reject the null hypothesis or fail to reject the null hypothesis.
A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.
When conducting a hypothesis test there are two possible decisions: reject the null hypothesis or fail to reject the null hypothesis. You should remember though, hypothesis testing uses data from a sample to make an inference about a population. When conducting a hypothesis test we do not know the population parameters. In most cases, we don't know if our inference is correct or incorrect.
When we reject the null hypothesis there are two possibilities. There could really be a difference in the population, in which case we made a correct decision. Or, it is possible that there is not a difference in the population (i.e., is true) but our sample was different from the hypothesized value due to random sampling variation. In that case we made an error. This is known as a Type I error.
When we fail to reject the null hypothesis there are also two possibilities. If the null hypothesis is really true, and there is not a difference in the population, then we made the correct decision. If there is a difference in the population, and we failed to reject it, then we made a Type II error.
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Question 1 of 28
Which sentence is generally true of red stars?
OA. They are the oldest stars.
OB. They are the hottest stars.
OC. They are the youngest stars.
D. They are the coldest stars.
Answer: D. They are the coldest stars.
Explanation: