Answer:
The variance is 153.507 kg2 for a random sample of 10 subjects that have weights with a standard deviation of 12.3898 kg
Explanation:
Variance is a measure of variation. It is determined by averaging the squared deviations from the mean.
The degree of dispersion in your data collection is indicated by variation. The greater the spread of the data, the greater the variance in proportion to the mean.
The standard deviation is generated from variance and indicates how much each number deviates from the mean on average. The square of the standard deviation gives the formula for variance in this case.
S = σ2
where
s= variance
σ = standard
s= 12.38982
s= 153.507 kg2
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Acceleration is obtained of 6 m/s2 with a force of 36 n. what is the mass of the object accelerating?
The mass of the object is 6 kg.
Any push or pull applied to an object is termed a force. In other words, force is defined as the product of the mass of the object and its acceleration. SI unit of force is Newton and that is denoted by the symbol N. Force is termed as a vector quantity because it has both magnitude and direction.
[tex]Force = Mass × Accleration [/tex]
[tex] F = m × a[/tex]
Acceleration is defined as the rate at which velocity changes an object over time.
Si unit of the acceleration is a meter per second square.
[tex]Accleration = \frac{Velocity}{ Time}[/tex]
[tex]a = \frac{v}{t} [/tex]
Acceleration = 6 m/s²
Force = 36 N
The mass of the object is,
[tex]F = m × a[/tex]
[tex]36 = m \times 6[/tex]
[tex]m = \frac{36}{6} [/tex]
[tex]m = 6 \: kg[/tex]
Therefore, the mass of the object is 6 kg.
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In which environment(s) is a population of seed-eating birds likely to undergo adaptive radiation? check all that apply.
a relatively recent volcanic island with a wide variety of vegetation.
Adaptive radiations can be caused by intrinsic variables (also known as "important adaptive innovations") that improve the availability of niches to a diverging lineage, or by external factors (such as the creation of new ecological opportunities through the emergence of fresh environments). existence of populations of recently diverged closely related species. The first half of this century's naturalists believed that three ecological processes led to adaptive radiation: phenotypic differentiation of populations through resource-based divergent natural selection, phenotypic differentiation through resource competition (ecological opportunity), and phenotypic differentiation through divergent character.
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The distance from the center of a lens to the point at which light rays converge on the film is known as the ______ of the lens.
The distance from the center of a lens to the point at which light rays converge on the film is known as the focal length of the lens.
In photography, focal length is the distance measured in millimeters (mm) between the optical center of the lens and the camera sensor, where the light information is recorded.
It is important because it dictates the distance your camera will be able to capture. Smaller numbers show more scene and have wider angle while larger numbers show less scene and have tighter angle of view.
What is photography?The process of recording an image on light-sensitive film is known as photography.
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A 100-w light bulb is operated by a 110-v dc source. what is the resistance of this bulb?
By using the power formula, the resistance of the bulb is 121 Ω.
We need to know about dissipated power to solve this problem. Power is energy dissipated to resistance as heat energy. It can be determined as
P = I . V
where P is power, I is current and V is voltage.
From Ohm's Law, we can substitute the current to
I = V / R
Hence, we can write the power equation to
P = (V/R) . V
P = V² / R
From the question above, we know that:
P = 100 watt
V = 110 volt
By substituting the following parameters, we get
P = V² / R
100 = 110² / R
R = 121 Ω
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A____test instrument is a device that is installed in a process or at a bench to continually measure and display quantities.
The device that is installed in a process or at a bench to continually measure and display quantities is a permanent test instrument.
What is a measuring instrument?A tool for measuring a physical quantity is a measuring instrument. Measurement, in the physical sciences, quality control, and engineering, is the process of gathering and contrasting the physical amounts of things that actually happen in the real world. As units, pre-defined standard things and occurrences are used, and the measuring procedure yields a number that connects the subject-matter under investigation to the used unit of measurement. These numerical relationships are attained through the employment of measuring devices and formal test methodologies that specify the device's use. The instrument error and measurement uncertainty that affect all measuring devices varies in severity. From basic tools like stopwatches and rulers to electron microscopes and particle accelerators, these instruments can be used for various purposes.
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If you want to add 5 calories of heat to 1 gram of water, how will the temperature change?
Answer:
It will increase to 5ᵒC.
Explanation:
Due to radiation and absorption, what is the maximum flame temperature in a fire?
The maximum flame temperature in a fire is 1500-1600K due to radiation and absorption.
What do you mean by radiation and absorption?In physics, matter (usually electrons bound in atoms) absorbs electromagnetic radiation in order to convert the energy of a photon into the internal energy of the absorber (for example, thermal energy). Attenuation, or the steady decrease in light wave intensity as it travels through a medium, is a prominent effect. In some circumstances (optics), the medium's transparency changes by a factor that varies as a function of wave intensity, leading to saturable absorption (or nonlinear absorption), even though the absorption of waves typically does not depend on their intensity (linear absorption).
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In parabolic solar cooker a cooking vessel is not kept at the radius of the curved surface
In parabolic solar cooker, the container of cooking is placed at the focal point of mirror of parabolic shape so that all rays that are falling on solar cooker can converge to one point and produce large amount of heat energy.
A parabolic solar cooker is a cooking device that works on the energy generated from solar panel.
Though solar cookers are slow to cook, they are green sources of energy utilizer as well as renewable source of energy.
Parabolic solar cookers make the use of a reflector which is parabolic in shape to concentrate sunlight into a smaller area in order to generate heat for cooking. They are able to reach high temperatures, which allows them to be used for grilling and frying. These temperatures are significantly higher than what can be reached by a solar box cookers or solar panel cookers .
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According to wien's law, if the surface temperature is increased by a factor of 2, its peak wavelength will:________
Wien's law states that the peak wavelength will: if the surface temperature increases by a factor of 2, the peak wavelength will: decrease by a factor of 2.
What is Wien's law in simple terms?
According to this, the wavelength at which the radiation curve reaches its maximum decreases as temperature increases. Higher energy photons are associated with the shift to shorter wavelengths. In other words, the relationship between max (peak wavelength) and temperature is inverse.
According to Wien's Law, which bears the name of German physicist Wilhelm Wien, objects with varying temperatures emit spectra with varied peak wavelengths. Shorter wavelength radiation is emitted by hotter things, giving them their blue appearance.
Wien's constant is a physical constant that describes the correlation between the black body's thermodynamic temperature and wavelength. It is a result of the black body's temperature and wavelength, which decreases as temperature increases until the wavelength is at its shortest.
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Clutch a cart starts at x = 2.0 m and travels towards the origin with a constant speed of 2.0 m/s. what is it the exact cart position (in m) 2.0 seconds later?
When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The cart will be at -2 m (origin) 2s later.
What is it the exact cart position (in m) 2.0 seconds later?
When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The formula of speed is given as
S = d/t ................. (1)
Where S = speed of the cart,
d = distance covered by the cart over a certain time.
t = time taken to cover the distance.
Where d the subject of the equation,
d = St ................. (2)
Given: S = 2.0 m/s, t = 2.0 s
Substitute into (2)
d = 2(2)
d = 4 m.
From the above, the cart covered a distance of 4 m in 2s.
The exact position of the cart = Initial position - distance covered
x' = x - d ............ (3)
Where x' = exact position of the cart 2s later,
x = initial position of the cart, and
d = distance covered by the cart in 2.0 s
Given: x = 2.0 m, d = 4 m.
Substitute into (3)
x' = 2.0 - 4
x' = -2 m.
Therefore the cart will be at -2 m (origin) 2s later.
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The rectangular resistors with leads specifically made to fit into printed circuit boards are ____ resistors.
The rectangular resistors with leads specifically made to fit into printed circuit boards are surface mount resistors.
The resistors are the device which resists the motion of current or electricity.
They are electronic devices used in electrical circuits.
The general type of resistors which are rectangular with leads so taht they fit the circuit boards are called surface mount resistors.
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A bottle has a mass of 35.00 g when empty and 98.44 g when filled with water. When filled with another fluid the mass is 88.78g. What is the specific gravity of this other fluid
Answer:
mass of water = 98.44 - 35.00 = 63.44g
water has a density of 1000g/L
Volume of bottle = 63.44/1000 = .06344L
mass of other liquid = 88.78-35 = 53.78g
density of other liquid = 53.78g/0.06344L = 847.73g/L
Since water has a specific gravity of 1, set up a relation 1000/847.73 =1/sg
sg=.85
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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Measuring human impact and comparing it with the biophysical world's carrying capacity is known as:________-
Measuring human impact and comparing it with the biophysical world's carrying capacity is known as Ecological footprint.
What is Ecological footprint?
The Global Footprint Network promotes the ecological footprint as a way to assess how much nature is needed to sustain a certain number of people or an economy. Through an ecological accounting system, it monitors this demand. The accounts compare the biologically productive areas used by people for consumption to the biologically productive areas available in a region or throughout the world (biocapacity, the productive area that can regenerate what people demand from nature). It measures the effects of humans on the environment, to put it briefly.
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A violin string has a length of 0. 350m and is tuned to concert G, with f_G = 392Hz(b) If this position is to remain correct to one-half the width of a finger (that is, to within 0. 600 cm ), what is the maximum allowable percentage change in the string tension?
The maximum allowable percentage change is 3.8% in the string tension
Length of the string lg as given in the question = 0.350m
frequency of concert G f_g as given in the question= 392 Hz
The maximum allowable percentage change in string tension for this frequency remains constant and the given allowed interval of the change of the length
Formulating the equation and solving:
Let f be the frequency, T be the tension and U be the length of the wave
f = 1/2L*[tex]\sqrt{} T/U[/tex]
df = 1/2[tex]\sqrt{} U[/tex]*[tex](1/2\sqrt{}T- Ldt - dL\sqrt{}T)/L^{2}[/tex]
df = 0
dT/T = 2*(dL/L)
= 2*0.6/31.2
dT/T = 0.038
Percentage change in string tension 3.8%
The maximum percentage change in string tension is 3.8%
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If the spectrometer had been set to a different wavelength to measure absorbances (one where the copper would have absorbed more or less light), how would that have changed the results?
If the spectrometer had been set to a different wavelength to measure absorbances (If the spectrometer had been set to a different wavelength to measure absorbances) then the calculated unknown concentration should same.
Absorbance is directly proportional to the concentration of the substance.
higher concentration gives higher absorbance because the light absorbed is affected by the interacted no. of molecules.
Spectrometer - An instrument used to measure wavelength of spectra over a wide range.
types of spectrometer
emission absorptionIf the spectrometer had been set to a different wavelength to measure absorbances (If the spectrometer had been set to a different wavelength to measure absorbances) then the calculated unknown concentration should same.
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On a circle of radius r, a central angle of radians subtends an arc of length s_____; the area of the sector formed by this angle is a_______.
On a circle of radius r, a central angle of radians subtends an arc of length(s) is r; the area of the sector formed by this angle is a 12r2Θ. The central angle of radians subtends an arc of length(s) that is multiple of radius (r) and central angle().
What is the sector of a circle's area?The concept of area is always associated with two dimensions. Any two-dimensional object can combine to form a plane. As a result, every two-dimensional figure has an area. Every point in a plane that is a particular distance away from some other point forms a circle. The circle's radius and fixed distance are both referred to as the circle's center and radius, respectively.
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If an object is thrown straight upward with an initial speed of 8.0 m/s and takes 3.0 seconds to strike the ground, from what height was the object thrown?
According to the given statement the height of the object thrown is =20.1m
What is the initial speed?Initial condition, or initial speed, refers to an object's speed at the start of a measurement. The average speed is the average of the initial and final speeds, or the ratio of the distance travelled to the time required. The speed difference between the initial and final speeds is the change in speed.
How can one determine initial speed?Start by dividing the acceleration by the time to determine the beginning velocity. Then, divide that number by 2 and write down the quotient you got. Next, divide the distance by the time and write down that quotient as well. To obtain the beginning velocity, finally remove your first quotient from your second quotient.
The right answer is s= 20.1m
s= -8t+0.5gt^2
t=3
s=20.1 m
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We drive a distance of 1 kilometer at 20 km/h. then we drive an additional distance of 1 kilometer at 30 km/h. what is our average speed (in km/h)?
The driver drives at a speed of 20km/hr, then the average speed is 24km/hr.
According to the question, they traveled one kilometer at a speed of 20 kilometers per hour. The equation time = distance/speed can be used to determine how long it will take to travel this distance. Thus, the duration of the initial leg of the journey is 1/20, or 0.05 hours.
then proceeded to travel at a speed of 30 km/h for an additional distance of 1 km. Similar to the previous section, this one's travel time is 1/30, or 0.0333 hours.
Now, add the travel times for both legs to get the overall time: 0.05 + 0.0333 = 0.0833 hours.
Now, adding the distances covered in each leg of the journey to get the total distance traveled: 1 + 1 = 2 kilometers.
By dividing the total distance by the total time, we can finally determine the average speed: average speed = total distance/total time = 2/0.0833 24 km/h.
As a result, they travel at a speed of roughly 24 km/h.
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How many grams of calcium metal is required to react with 7.75 g water to produce calcium hydroxide and hydrogen gas?
87.69 grams of calcium metal is required to react with 7.75 g water to produce calcium hydroxide and hydrogen gas.
Ca (OH)2+2H2 = CaH2 + 2H2O
Convert grams of hydrogen to moles of hydrogen.
H2 has a molar mass of 2.016 g/mol.
1 mol H2 x 8.400g H2
2.016g H2 equals 4.1667 mol H2
Calculate the moles of CaH2 using the molar ratio.
The molar ratio is 1 mol CaH2: 2 mol H2, according to the equation that is balanced.
2.0833 mol CaH2 = 4.1667 mol H2 1 mol CaH2 2 mol H2
grams of CaH2 to CaH2
CaH2 has a molar mass of 42.09 g/mol.
1.mol CaH2=87.69 g CaH2 2.0833mol CaH2=42.09 g CaH2
87.69 g CaH2 are required for the reaction.
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Think back to the snack food calorimeter. describe an example of each of these occurring in the lab: conduction, convection, and radiation.
An good example would be using a Bunsen burner to heat water in a tin container. The flame initially heats the tin can by radiating heat. Conduction then transfers heat from the tin can to the water. The convection process causes the hot water to then climb to the top.
What is Bunsen Burner?A laboratory piece of equipment known as a Bunsen burner, which bears Robert Bunsen's name, produces a single open gas flame and is used for heating, sterilization, and combustion. Natural gas, liquefied petroleum gas, such as propane, butane, or a combination, are all acceptable choices for the gas.
What three types of flames can you get from a Bunsen burner?Bunsen burner flames come in three primary categories:Because it is simple to notice in a well-lit space, a yellow flame is also referred to as a safety flame.Flaming Blue. A burner's specific flame can reach temperatures of 500 degrees.Blue Flame in Flames The roaring blue flame setting on a Bunsen burner produces the hottest flames.To know more about Bunsen Burner visit:
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List three equations (relationships) describing free falling objects in gravitational fields.
The three equations for describing free-falling objects in gravitational fields are given below:
h = ut + ¹/₂ g * t²v² = u² + 2 * g * hv = g * tWhat is free fall?Free fall refers to the motion of a body that is at a certain height above the surface of the earth and which is allowed to fall or move vertically downwards under the influence of gravity alone.
Gravity is the attractive force with which the earth attracts objects to its surface.
Objects that are attracted to the surface of the earth by gravity are given an acceleration g, known as acceleration due to gravity.
The value of the acceleration due to gravity, g = 9.8 m/s²
The equations for describing free-falling objects in gravitational fields are given below:
h = ut + ¹/₂ g * t²v² = u² + 2 * g * hv = g * twhere;
h = height above ground
u is the initial velocity
v s final velocity
t is time
g is to acceleration due to gravity
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A constant current of 3.2maflows through anelement. what is the charge that has passed through the elementin thefirst millisecond?
The charge that has passed through the element the first millisecond is 2.3nc.
What is millisecond?Millisecond is a period estimation unit with the image of MS, which is equivalent to a one thousandth of a second. It can likewise be characterized as the span of photograph electric lamp, or as the hour of a cycle for 1kHz recurrence. This unit is at times utilized while estimating extent or making truly exact physical and logical computations. Millisecond is clearly utilized rigorously for logical purposes since estimating this unit of time is very troublesome. This web-based milliseconds to microseconds converter can be exceptionally helpful for understudies, analysts, science fans and the people who are needing making time changes.
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A point located on the second hand of a large clock has a radial acceleration of 0.10 cm/s2. how far is the point from the axis of rotation of the second hand?
The distance of the point from the axis of rotation of the second hand is 9.1 m.
Radius of the clockThe point from the axis of rotation of the second hand is the radius of the rotation of the clock.
a = v²/r
v² = ar
v = √ar
V = [tex]\frac{2\pi r}{T}[/tex]
√ar = [tex]\frac{2\pi r}{T}[/tex]
ar = [tex]\frac{4\pi^2 r^2}{T^2}[/tex]
a = [tex]\frac{4\pi^2r}{T^2}[/tex]
r = [tex]\frac{aT^2}{4\pi^2}[/tex]
r = (0.1 x 60²)/(4π²)
r = 9.1 m
Radial accelerationNewton’s second law states that when a body is subjected to an external force, it begins to accelerate.
The only thing that constitutes acceleration is a change in an object’s velocity over time. It carries both magnitude and direction as a vector quantity.
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What is the resultant ph if 50 ml of 0.1 m hcl are added to 800 ml of 0.05 m acetate buffer at ph 5.2? the pka of acetic acid is 4.76?
The resultant pH= 4.95
Steps
A weak acid solution and a conjugate base solution can be combined to create a buffer.
Strong acid or strong base addition does not result in a significant pH shift when a weak acid and conjugate base are present in the solution.
A buffer's pH can be determined using the Henderson-Hasselbalch equation:
pH = Pka + log [base] / [acid]
Let 0.05-x represent the amount of acetate in the buffer and x represent the amount of acetic acid in the buffer.
5.2 = 4.75 + log 0.05− x / x
0.05− x = 0.0369 M
HA = 0.0130 M × 800 mL+ 50 mL× 0.1 M = 15.47 mmol
A = 0.0369 M× 800 mL− 50 mL×0.1 M = 24.52 mmol
The new pH is:
pH= 4.75 + log 25.42 / 15.47
pH= 4.95
The resultant pH of the solution= 4.95
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The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g, suspended on a weightless thin rod with a length of l 0.4 m. Determine the moment of inertia of the pendulum relative to the axis around which the oscillations occur
The moment of inertia of the pendulum is determined as 0.0025 kgm².
What is moment of inertia?
The moment of inertia of an object is defined as a measurement the rotation of the object around a fixed axis.
The pendulum can be modelled as a circular disk and the moment of inertia is calculated as follows;
I = ¹/₂Mr²
where;
M is mass of the pendulumr is the radius of the pendulumI is the moment of inertia of the pendulumSubstitute the given parameters and solve for the moment of inertia of the pendulum.
I = 0.5 X 0.5 kg x (0.1)²
I = 0.0025 kgm²
Thus, the moment of inertia of the pendulum is determined as 0.0025 kgm².
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Why is the use of carbon- 14 dating limited?
Answer:
because carbon 14 has only a short half life, rather than other elements with longer half lives.
Explanation:
✨science✨
Calculating The Milky Way galaxy contains
between 200 and 400 billion stars. Estimate the
number of stars in a cluster of 30 galaxies similar
in size to the Milky Way. Your answer should
consist of a low estimate and a high estimate,
both expressed in scientific notation.
——I NEED HELP ASAP!! PLEASE
The number of stars range between 6 * 10^9 stars and 1.2 * 10^10 stars.
What is the number of stars?We know that a galaxy is composed of many stars. The stars in the galaxy as we saw from the question, using the milky way as a template may have between 200 and 400 billion stars.
The number of stars could be obtained as the product of the number of galaxies and the number of stars in the lower and the upper limits.
Number of stars in the lower estimate = 200 * 10^6 * 30 = 6 * 10^9 stars
Number of stars in the higher estimate = 400 * 10^6 * 30 = 1.2 * 10^10 stars
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In an inductive circuit with an uncorrected power factor of 40 percent to 60 percent, the power factor can be corrected to within 5 percent of unity by the addition of a(n) ____
In an inductive circuit with an uncorrected power factor of 40 percent to 60 percent, the power factor can be corrected to within 5 percent of unity by the addition of a(n) capacitor.
What is capacitor?A capacitor is a gadget that stores electrical energy in an electric field. It is an inactive electronic part with two terminals. The impact of a capacitor is known as capacitance. A capacitor is a gadget that stores electrical energy in an electric field. It is an uninvolved electronic part with two terminals. The impact of a capacitor is known as capacitance. While some capacitance exists between any two electrical conduits in closeness in a circuit, a capacitor is a part intended to add capacitance to a circuit. The capacitor was initially known as a condenser or compensator. This name and its cognates are still generally utilized in numerous dialects, yet seldom in English, one eminent exemption being condenser mouthpieces, likewise called capacitor receivers.
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Electromagnetic (em) radiation penetrates the atmosphere of earth at what portions of the electromagnetic spectrum?
Longwave radiation is the name given to the infrared component of the spectrum of radiation that Earth emits; its usual wavelengths range from 4 to 30 micrometers (0.0002 to 0.001 inch).
The electromagnetic spectrum is made up of radio waves, microwaves, infrared light, visible light, ultraviolet light, X-rays, and gamma rays, among other types of electromagnetic radiation. The earth's atmosphere blocks out the majority of electromagnetic radiation from space, preventing most of it from reaching the planet's surface.
Visible light is electromagnetic radiation with wavelengths between 400 and 700 nm. A portion of the electromagnetic spectrum that humans can see with our eyes is the visible light or spectrum. The outside of Earth. Effectively, visible light can pass through Earth's atmosphere.
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