Question 1 (1 point) In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that less than
Answers
The probability that less than three of the 10 students selected at random from the physics majors are from ethnic minorities is 0.676.
In the given case, the total percentage of physics majors belonging to ethnic minorities is 20%.The probability of choosing a student who belongs to an ethnic minority is therefore:P(Ethnic Minority) = 0.20Let n be the number of students selected at random from physics majors. Then the probability that less than 3 of the students are from ethnic minorities is:P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)where X is a random variable that represents the number of students from ethnic minorities in a sample of size n.In order to find P(X = 0), P(X = 1), and P(X = 2), we will use the binomial distribution formula:P(X = k) = (n choose k) * p^k * (1-p)^(n-k)where (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items, and p is the probability of success (i.e., choosing a student who belongs to an ethnic minority).Using this formula, we get:P(X = 0) = (10 choose 0) * 0.20^0 * 0.80^10 = 0.1074P(X = 1) = (10 choose 1) * 0.20^1 * 0.80^9 = 0.2684P(X = 2) = (10 choose 2) * 0.20^2 * 0.80^8 = 0.3289Therefore, P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3289 = 0.676.
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Related Questions
A diver runs toward the edge of the cliff in Tobermory. This cliff is 44 m high (top of cliff to water level). They dive out, horizontally, at a velocity of 1.8 m/s [forward]. The sign below was posted for a reason. There is a section of rock right under the rough water extending from the cliff out for 4 m, as shown below. Does the diver hit the hidden rocks?
Answers
This question involves the concepts of the equations of motion for both the vertical motion and the horizontal motion.
The diver "does not" hit the rock.
First, we will calculate the time taken by the diver to land. For this purpose, we will use the second equation of motion for the vertical motion of the diver:
\(h = v_{iy}t+\frac{1}{2}gt^2\)
where,
h = height of cliff = 44 m
\(v_{iy}\) = vertical component of the initial velocity of the diver = 0 m/s
t = time taken to land = ?
g = acceleration due to gravity = 9.81 m/s²
Therefore,
\(44\ m=(0\ m/s)t+\frac{1}{2}(9.81\ m/s^2)(t)^2\\\\t = \sqrt{\frac{(44\ m)(2)}{9.81\ m/s^2}}\)
t = 3 s
Now, we will calculate the horizontal distance where the diver landed. For this purpose, we will use the equation of motion for the horizontal motion of the diver. Assuming the air resistance to be zero the horizontal motion will be uniform. Hence:
\(s = vt\\s = (1.8\ m/s)(3\ s)\\\)
s = 5.4 m
Since the section of the rock was 4 m away from the cliff. Hence, the diver crossed that rock section and safely laded at a distance of 5.4 m, which is 1.4 m ahead of the rock section.
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The attached picture shows the equations of motion for the horizontal motion and vertical motion.
Convert the following number in scientific notation to standard notation: 3 × 10^3
ASAP I NEED IN 3 MINUTES PLS
Answers
The number 3 x 10 ³ in scientific notation can be written in standard notation as 3000.
What is Standard notation?Standard notation of a number is when a number is written with only number digits. For example - if the number is 2 x 10², then in standard from it can be written as 200.
Given is a number is a number in scientific notation. The number is -
3 x 10 ³.
Assume that the number -
A = 3 x 10 ³
and its expression in standard notation is B.
In order to write it in standard notation, we have to eliminate the 10ⁿ term which is 10 ³. 10 ³ can be written as 1000. Therefore, the number in standard notation will be -
A = 3 x 1000
A = 3000
Hence, in standard notation the number 3 x 10 ³ in scientific notation is 3000.
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a 100 kg mass has a density of 2,000 kg/m3. if the volume is decreased by 2% due to compression, then the density is
Answers
The density of the 100 kg mass after the volume is decreased by 2% due to compression is 2,040 kg/\(m^{3}\).
What is Mass?
Mass is a fundamental physical property of matter that measures the amount of matter in an object. It is a scalar quantity that does not depend on the object's position or orientation in space, unlike weight which is a force that depends on gravity.
The initial density of the 100 kg mass is 2,000 kg/\(m^{3}\). We can use the formula for density which is:
density = mass / volume
To calculate the initial volume, we rearrange the formula as:
volume = mass / density
volume = 100 kg / 2,000 kg/\(m^{3}\)
volume = 0.05 m3
When the volume is decreased by 2%, the new volume becomes:
new volume = initial volume - (2% of initial volume)
new volume = 0.05 \(m^{3}\) - (0.02 x 0.05 m3)
new volume = 0.049 \(m^{3}\)
Using the formula for density again, we can calculate the new density:
new density = mass / new volume
new density = 100 kg / 0.049 \(m^{3}\)
new density = 2,040 kg/\(m^{3}\)
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calculate the magnitude of the electric field intensity in vacuum at a distance of 20 cm from a charge of 5 * 10 raise to power - 3 column
Answers
Answer:
1.1259*10^9 Newton per Columb
Explanation:
the magnitude of the electric field intensity can be calculated using the expresion below;
E=Kq/r^2
Where k= constant
q= electric charge
r=distance= 2cm= 20*10^-2m( we convert to m for unit consistency
:,K=59*10^9 Columb
If we substitute the value into above formula we have
E=(9*10^9)*(5*10^-3)/(20*10^-2)^2
=1.1259*10^9 Newton per Columb
Therefore,the magnitude of the electric field intensity in vacuum at a distance of 20 cm is 1.1259*10^9 Newton per Columb
HELP!
Noble gases are the ____________________.
A. most reactive of all elements
B. least consistent of all elements
C. most consistent of all elements
D. least reactive of all elements
Answers
Answer: Most consistent of all elements (if consistency here denotes stability)
if not, then the answer will be (D)
Explanation:
Nobel gasses have full outermost electron shells which means that they are very stable and do not need to lose, gain, or share electrons to gain stability. So they do not react with other elements to form ionic or covalent bonds
When air warm up the air molecules move slower?
Answers
Which of these is true of all simple machines?
A.Input force is always less than output force.
B.Work input is always greater than work output.
C.Work output is always greater than work input.
D.Output force is always less than input force.
Answers
which of the following factors did chen, roll, and ross include in their multifactor model?
Answers
Chen, Roll, and Ross included several factors in their multifactor model. Specifically, their model included the market factor, size factor, book-to-market factor, and momentum factor.
The market factor captures the overall performance of the stock market and is typically measured by the returns of a broad-based market index such as the S&P 500.
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Matias was riding a blue bicycle and wondered what makes the bicycle look blue in daylight.
Which statement explains why Matias’ bicycle looks blue?
A:
B:
C:
Answers
The bicycle look blue in daylight as at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.
What is refraction?Refraction, in physics, the change in direction of a wave passing from one medium to another caused by its change in speed
Given is that Matias was riding a blue bicycle and wondered what makes the bicycle look blue in daylight.
It is due to at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.
Therefore, the bicycle look blue in daylight as at this point of the daylight the reflected color from the bicycle that can be perceived by his eyes is blue.
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two 1-kg stationary cue balls are struck by cue sticks. the cues exert the forces shown. which ball has the greater final speed?
Answers
Both balls have the same final speed.
What is speed?The distance traveled by an object per unit time is defined as its speed. Speed is a scalar quantity because it has no direction and only magnitude. The SI unit is meter/second.Based on Newton's second law of motion,
Second Law of Motion of Newton (Force) The acceleration of an object is determined by its mass and the amount of force applied.force = momentum/time change
Momentum change = force time
(force time)/mass = change in speed
When two 1.0 kg stationary cue balls are struck by cue sticks with equal force and time.
Therefore both stationary cube balls will have the same final speed.
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How long will it take for a 1.5A current to coat evenly a layer of copper 0.1mm thick on both sides of a 12cm x 12cm copper plate [e.C.E of copper= 0.00033g/C , density of copper 9g/cm
Answers
Answer:
Explanation:
First of all we shall calculate mass of copper to be calculated from the formula below.
mass = volume x density
volume = total surface area x thickness of layer
= 12 x 12 x 2 x .01 cm³
= 2.88 cm³
mass = 2.88 x 9 = 25.92 g .
Let time required be t s . .
charge flowing in time t = 1.5 t coulomb.
Given ,
1 coulomb deposits .00033 g of copper
1.5 t deposits .00033 x 1.5 t g of copper
So ,
.00033 x 1.5 t = 25.92
t = 52364 s
= 14.54 hours.
What force can be seen when North Pole is brought near to South Pole
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Answer:
Explanation:
The answer is magnetic force
Answer:
Magnetic forces which causes attraction between the two poles
When lifting weights, arch your lower back for extra strength. Is this true?
Answers
Answer:
No
Explanation:
an ambulance truck emits sound with a frequency of 800hz. what is the frequency detected by a stationary observer if the ambulance truck is moving 30 m/s toward the observer? (the speed of sound in air at 20c is 343 m/s)
Answers
The frequency detected by a stationary observer if the ambulance truck is moving 30 m/s toward the observer is 731.3 Hz.
When the ambulance truck emits sound with a frequency of 800hz and the ambulance truck is moving 30 m/s toward the observer,
The observed frequency is given by the following formula.
f’ = f [(v ± v_o)/(v ± v_s)]
Where v = the speed of sound in air = 343 m/s
f = frequency of the source = 800 Hz
v_o = velocity of the observer (stationary) = 0 m/s
v_s = velocity of the source (ambulance truck) = -30 m/s (since the ambulance truck is moving toward the observer)
Now we can plug in the values into the formula and calculate the observed frequency.
f' = 800 ((343 - 30) / (343 + 0))
= 800 (313 / 343)
= 731.5 Hz (rounded to one decimal place)
If the ambulance truck is moving towards a stationary observer at a speed of 30 m/s, the frequency detected by the observer is 731.3 Hz.
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what is the half-life of lithium-8 if the decay constant is 0.825/s? what is the half-life of lithium-8 if the decay constant is 0.825/s? A. 0.572s B. 2.42s
C. 1.19s
D. 0.840s
Answers
0.840s is the half-life of lithium-8 if the decay constant is 0.825/s. The decay constant is unique to each radioactive substance and measures the speed of radioactive decay. Therefore, the correct answer is option D.
The half-life of lithium-8 can be calculated using the formula:
\(t1/2 = ln(2) / \lambda\)
Where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant. Substituting the given decay constant of 0.825/s into the formula:
t1/2 = ln(2) / 0.825/s
t1/2 ≈ 0.840s
Therefore, the half-life of lithium-8 is approximately 0.840s. The formula for half-life is a fundamental concept in nuclear physics, which determines the time required for a radioactive substance to decay by half of its original quantity. The decay constant, which is specific to each radioactive substance, measures the rate at which radioactive decay occurs.
The higher the decay constant, the shorter the half-life, indicating that the substance is more unstable and decays faster. In this case, the decay constant of lithium-8 is 0.825/s, indicating that it is relatively unstable and has a short half-life of approximately 0.840s.
In summary, the half-life of lithium-8 is approximately 0.840s with a decay constant of 0.825/s. Therefore, the correct answer is option D.
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Jeremy hypothesized that adults with blue eyes are shorter than adults with brown eyes. He collected data by visiting all of the teachers in his school and found that his hypothesis was false. Should Jeremy consider his hypothesis useful?
A.
Yes; now he knows that the exact opposite of his hypothesis must be true.
B.
Yes; a false hypothesis gives a scientist new information to use.
C.
No; a false hypothesis makes a scientist look silly.
D.
No; false hypotheses are a waste of time.
Answers
Answer: B. Yes; a false hypothesis gives a scientist new information to use.
Explanation:
Let us take a look and break down all the question's answer options.
✗ A.
Yes; now he knows that the exact opposite of his hypothesis must be true.
➜ This is not the case. He must look at this data and decide what is true.
✓B.
Yes; a false hypothesis gives a scientist new information to use.
➜ Yes! We learn from our research and looking back at our hypothesis.
✗ C.
No; a false hypothesis makes a scientist look silly.
➜ This isn't true. You cannot expect to be right all the time, and scientists make incorrect hypotheses frequently.
✗ D.
No; false hypotheses are a waste of time.
➜ Tying back into B and C, this isn't true. We learn from comparing our hypotheses with our data.
A wave with a frequency of 70.0 Hz travels through rubber with a wavelength of 0.80 m. What is the velocity of the wave?
Answers
Explanation:
everything can be found in the picture
give one example where friction is a hindrance.
Answers
Answer:
an example of when friction is a hindrance, is if someone with shorts is sliding down a slide. their skin rubbing on the slide will cause friction and will slow them down. another example is if you're dragging a large wooden box across the floor. the wood and the floor interacting cause friction and will make it more difficult to push the box.
Explanation:
hope this helps :D
How do vaccines provide immunity
Answers
Answer:
Vaccines contain weakened or inactive parts of a particular organism (antigen) that triggers an immune response within the body. Newer vaccines contain the blueprint for producing antigens rather than the antigen itself.
Answer: They give you a portion of the thing its fighting so it gets your cells use to it so they can fight it off easily
Explanation:
A mineral scratches a piece of fluorite but cannot be scratched by a piece of glass. What is this mineral’s hardness?
Answers
Answer:
The mineral's hardness is greater than 4 but less than 5.5 on the Mohs hardness scale.
Which arrow indicates the direction of centripetal force on the object represented by the dot?
Answers
The arrow that indicates the direction of centripetal force on the object represented by the dot is the arrow that points towards the center of the circle.
Centripetal force is the force that keeps an object moving in a circular path. It always acts towards the center of the circle, which is why the arrow pointing towards the center of the circle represents the direction of centripetal force. In the diagram below, the object represented by the dot is moving in a circular path, and the arrow pointing towards the center of the circle represents the direction of centripetal force:
```
^
|
<-----O----->
|
v
```
In conclusion, the arrow that indicates the direction of centripetal force on the object represented by the dot is the arrow that points towards the center of the circle.
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Answer:
C
Explanation:
The arrow labeled C, pointing towards the middle of the circle
An electric field is defined along the x-axis by the function . what is v(g)-v(h), where g=1.5m and h=6m?
Answers
An electric field is defined along the x-axis by the function then if g=1.5m and h=6m, then v(g)-v(h) = 7768.40V.
Explain what the electric field is.When charge is present in any form, a point in space has an electric field that is connected to it.
The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
What is the formula for the electric field?Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field’s equation is given as E = F / Q.
E = + 5 x^4 x^n
Also, E = -x^n r/rx (v)
⇒ 5 x^4 x^n = -x^n r/rx (v)
⇒ v = - ∫ 5 x^4 dx
⇒ v = -5 x^5/5
⇒ v = - x^5 v
So, v(g) - v(h) = - (1.5)^5 + (6)^5
= -7.59375 + 7776
=7768.40 V
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How to calculate specific heat.
Answers
Strontium, Sr, will
valence electrons when forming an ionic bond.
O lose 1
Olose 3
Olose 2
O gain 1
Answers
Answer:
lose 2
Explanation:
Sr is an alkali metal which forms 2+ ion.
The position of a particle in millimeters is given by s=102−23t+t ^2 where t is in seconds. Plot the s-t and v-t relationships for the first 17 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration? Answers: Δ5= mm D= mm
Answers
The given position equation of a particle is, s=102−23t+t2Here, t is in seconds.The first derivative of s is its velocity: v = ds/dt - 23 + 2tThe second derivative of s is the particle's acceleration:
The total distance traveled is the sum of all distance travelled in each interval of time: D = ∫|v|dt + ∫|v|dt + ... (From t 0 s to t = 17 s)From the graph of the velocity, the particle is moving to the left and toward the right side. The velocity-time graph is linear, which means that the acceleration is constant and uniform. Hence, the conclusion we can draw is that the particle is moving with uniform acceleration. a = dv/dt = 2The given equations are: s=102−23t+t2v
=−23+2ta
=2Plot of s-t and v-t graphs:
Net displacement (Δs) during the interval of 17 seconds can be calculated as:Δs = s(17) - s(0)Δs
= 102 - (2 × 3² / 2) - (23 × 3) + (17² / 2) - 102Δs
= -4 mmThe particle moves to the left side.
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The people who write computer programs
Answers
Answer:
Someone who writes software or programs for computers is called a programmer.
Explanation:
What is the change in temperature for the water in the calorimeter after the aluminum wire was added?
C
What is the change in temperature for the water in the calorimeter after the steel wire was added?
C
What is the change in temperature for the water in the calorimeter after the lead pellets were added?
C
Answers
The specific heat of Al is greater than that of water. Therefore, adding Al wire will increase the temperature of water in the calorimeter. While adding the Pb pellets will decrease the temperature.
What is calorimetry ?Calorimetry is an analytical technique used to determine the heat energy absorbed or released by a system. The calorimetric equation connecting the heat change q with mass of the substance m, specific heat capacity c and the temperature difference ΔT is:
q = m c ΔT
The specific heat of a substance is the heat energy required to increase the temperature by one degree Celsius per one gram. Higher the specific heat, higher be the rate of cooling or heating.
The heat gained by water from steel will be greater than that of Al because specific heat of steel is greater. Lead has very small specific heat and the temperature change will be smaller.
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Answer:
aluminum wire = 2.6c
steel wire = 1.5c
lead pellets = 0.8c
Explanation:
Compare the amplitude of these waves.
Answers
Answer:
Explanation:
The answer to your question would be number 2 amplitude and frequency are the same so the higher the frequency the higher the amplitude. As you can see in the picture wave E has the highest frequency. which means since A has the lowest frequency and E has the highest frequency answer 2 would be correct the amplitude increases from A to E.
Amplitude of a wave is the strength of the wave. It is measured from the central line of the wave to the top of the crest or bottom of the trough. Thus, higher amplitude waves will gives sharp crests and troughs. Here amplitude is increasing from A to E.
What is amplitude?Amplitude is a parameter measuring the strength of a wave. It is the maximum displacement moved by the wave from its equilibrium position. The vibrational path will be twice that of the amplitude of the wave.
As the amplitude of the wave increases its intensity increases. Both are in direct proportion with the frequency and energy of a wave. For instance the amplification of sound waves increases the intensity of waves that we hear.
The distance between two consecutive crests or troughs is the wavelength of the wave not amplitude. Amplitude is measured from the axis line to the top of the crest thus, from exact middle of the wave crest to the top or to the bottom of trough.
Thus, higher amplitude waves will gives sharp crests and troughs. Here amplitude is increasing from A to E
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what is refractive index ?
Answers
Explanation:
Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density. The refractive index variable is most commonly symbolized by the letter ‘n’ or n’ in a descriptive text and mathematical equations.
suppose we want to know what the sun is made of. what should we do?
Answers
Answer:
(below answer)
Explanation:
Suppose we want to know what the Sun is made of. What should we do? Compare the wavelengths of lines in the Sun's spectrum to the wavelengths of lines produced by chemical elements in the laboratory.