Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
What is permutationPermutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.
In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.
In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation
To obtain the total of ways in which m elements can be placed in n positions, the expression is used:
[tex]P=\frac{m!}{(m-n)!}[/tex]
The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.
Number of ways you can listen to 3 songsThe order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.
Being:
m=12n=3and replacing in the expression for permutation, you get:
[tex]P=\frac{12!}{(12-3)!}[/tex]
[tex]P=\frac{12!}{9!}[/tex]
[tex]P=\frac{479001600}{362880}[/tex]
P= 1320
Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
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Does the confidence interval give convincing evidence of a difference in the population mean number of pairs of shoes for boys and girls at the school? justify your answer.
The confidence interval did give convincing evidence that there is difference in the population mean number of pairs of shoes for boys and girls at the school.
Why does the confidence interval did give convincing evidence?The interval is one that gave a good convincing evidence, based on the fact that the number 0 stands as NO difference ( (girls boys) and thus it is = 0 ).
It is also not not included in this interval and as such, it can mean that the difference in the mean number of shoes owned by girls and the mean number of shoes owned by boys is 0 .
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A sample of oxygen gas is confined at 127°c and 0.80 atm. if volume of the container holding the gas stayed the same, what would be the pressure of this sample at 27°c?
Based on the calculations, the pressure of this gas sample at 27°C is equal to 0.17 atm.
How to determine the final pressure.In order to calculate the final pressure of an ideal gas at constant volume, we would apply Gay Lussac's law.
Mathematically, Gay Lussac's law is given by this formula;
[tex]P\;\alpha \;T\\\\P=kT[/tex]
Where:
P is the pressure.T is the temperature.k is the constant of proportionality.Substituting the given parameters into the formula, we have;
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{0.80}{127} =\frac{P_2}{27} \\\\0.0063 =\frac{P_2}{27}\\\\P_2 = 0.0063 \times 27[/tex]
Final pressure = 0.17 atm.
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How does hemingway's decision to end the story of the major returning to the hospital after his wife's death contribute to the story's impact?
The decision of hemingway's to end the story of the major returning to the hospital after his wife's death lead to:
It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.What is ending of a story implies?An ending is known to be the conclusion of a thing. In stories, it can be a sad or an happy ending.
Note that an ending also connote a time when a thing is about to finish or near its completion. The end of the story above produces a sense of grief for the major not only for the loss of his wife but also the loss of his hand, that is tragic story.
See options below
1. It hints that the major mourned for his lost wife only for a brief few days before returning to his routine at the hospital, ending the story on an uncaring note.
2. It emphasizes that the photographs are of no concern to the major because he doesn’t expect the machine to make much difference, ending the story on a doubtful note.
3. It suggests a sense of absurdity that the machine will revitalize the major’s hand to what is shown in the photographs, ending the story on a patronizing note.
4. It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.
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help hurry please help me
Answer:
The answer is B
Explanation:
If any of the numbers do not have a line underneath then the inside of the circle should not be shaded. If it does have a line underneath then the whole circle should be shaded. Then you look at the direction it is going, look carefully.
7-3 additional practice multiplying special cases envision algebra 1
An example of additional practice multiplying special cases envision algebra 1 is solving Linear equation. An example is given as 4 + (3x-1/2) = 9.
What are special cases envision algebra 1?
Envision Algebra 1 is one type of course that needs a good background on Pre-algebra functions. It is a type of algebra that starts from Linear Equations up to polynomials and factoring.
To solve for the above question, one has to separate the fraction on one side of the equation. This can be done by subtracting 4 from the two sides of the equation.
So, 3x-1/2 = 9 - 4
3x-1/2 = 5
The you have to multiply the 2 sides by using the denomiator 2 and so it will be:
3x-1 = 5 * 2
3x - 1 - 5 * 2
3x - 1 - 10
Then you rearrange like terms together.
3x - 10 + 1
3x = 11
x = 11/3
So therefore, x = 11/3
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What effects can apostrophe have on a poem? choose four answers. It gives the speaker a voice. It connects the reader to the speaker’s message. It gives the poem a detached effect. It makes an imagined addressee feel present. It gives the poem a personalized effect
Th influence of apostrophe's as used on the poem is:
It gives the speaker a voice.It connects the reader to the speaker’s message.It makes an imagined addressee feel present.It gives the poem a personalized effect.What effects can an apostrophe give on a poem?An apostrophe is known to be often used to highlight the vital reasons of the the main idea or object.
It is often used to adds drama, bring out emotions as a result of jubilation to sorrow and it is also used to evoke something not living.
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Answer:
A, B, D, E
Explanation:
A - it gives the speaker a voice
B - it connects the reader to the speakers message
D - it makes an imagined addressee feel present
E - it gives the poem a personalized effect
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If a circle is circumscribed about a polygon, then the polygon is
A circle is circumscribed about a polygon if the polygon's vertices are on the circle. For triangles, the center of this circle is the circumcenter. A circle is inscribed a polygon if the sides of the polygon are tangential to the circle. For triangles, the center of this circle is the incenter.
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Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
It should be noted thy Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
What is Maslow’s hierarchy of needs?Maslow’s hierarchy of needs serves as the organization of human needs from top yo bottom of the needs scale.
The needs are are classified as;
physiological (food and clothing) safety (job security) love and belonging needs self-actualization.Therefore, the given statement is correct.
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Answer:
It's True
Explanation:
In the interview, dr. dowell mentions that we live in a "small world." the video explains that disease can spread in a matter of hours when people travel by airplane. how does the video connect to what dr. dowell says? the video discusses disease but avoids how diseases spread. the video gives the same information as the interview about the spread of disease. the video gives less information than the interview about how easily disease can spread. the video gives more specific information about how easily diseases can spread.
Answer:
D
Explanation:
edge 2022
it's right all you have to do is trust me
Answer: D or The video gives more specific information about how easily diseases can spread.
Explanation: got it on edge 2022
In the morning the temperature starts out around 50
By the end of the day it has probably increased.
Find the percent of decrease from 69 songs to 37 songs. round to the nearest tenth of a percent if necessary.
Answer:
the correct answer is 46.38%
Explanation:
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The economy of newland is in short-run macroeconomic equilibrium. the current real output is $400 billion, and the full employment output is $500 billion. the marginal propensity to consume is 0.8.
a. The economy is experiencing a recessionary gap because the potential GDP is greater than the Real GDP.
bc. The minimum change required to shift the aggregate demand curve to close the output gap is 500 and 125.
Gross domestic producta. The economy is experiencing a recessionary gap because the potential gross domestic product is higher than the Real gross domestic product.
Potential GDP=500
Actual GDP=400
Potential GDP > Actual GDP
b. Minimum change
Multiplier= 1/(1 - MPC)
Multipl,ier= 1/(1 - 0.8)
Multiplier = 1/0.2
Multiplier= 5
Minimum change=(500-400)×5
Minimum change=500
c. Minimum change
Tax multiplier = MPC/(1 - MPC)
Tax multiplier= 0.8/(1 - 0.8)
Tax multiplier= 4
Minimum change=500/4
Minimum change=125
Inconclusion the economy is experiencing a recessionary gap because the potential GDP is greater than the Real GDP.
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Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?
Answer:
Explanation:
2 sheets of plywood will be needed.
Step-by-step explanation:
See the attached diagram.
Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square. {Since each unit on the coordinate plane represents four feet}
Now, the two triangular plywood has area half of a unit square area.
So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.
Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.
Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need such sheets of plywood. (Answer)
A nurse educator is conducting a learning needs assessment prior to teaching a group. To collect information quickly while safeguarding individual privacy, the nurse educator should use which method?
To collect information quickly while safeguarding individual privacy, the nurse educator should use questionnaire.
What is a questionnaire?A questionnaire serves as a list of questions or items used to gather data from respondents.
This information could be on their attitudes, experiences, or opinions.
However, Questionnaires can be used to collect quantitative and qualitative information.
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One economic reason for the general trend of migration from rural to urban areas is that —
9-5 skills practice solving quadratic equations by completing the square
An example of 9-5 practice question on quadratic equations by completing the square is 5x2–2x−9=0.
What are quadratic equation?This is known to be a type of algebraic expression that is based on the second degree in x. The quadratic equation often exist in a standard form such as ax2 + bx + c = 0.
To solve for 5x2–2x−9=0
Then you have to rearrange the equation into:
x2−(2/5)x−9/5=0
= x2−(2/5)x=9/5
= (x−(2/10))2−(2/5)2=9/5(here b = 2/5)
= (x−(2/10))2=46/25
Then you take the square root on both sides
= (x−(2/10))=±1.356
Therefore x=1.556 or say −1.156.
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How would someone use identity information to commit medical identity theft?
Answer: identity theft is usually associated with financial transactions, it also happens in the context of medical care. According to the Federal Trade Commission (FTC), medical identity theft occurs when someone uses another person’s name or insurance information to get medical treatment, prescription drugs or surgery. It also happens when dishonest people work-Ing in a medical setting use another person’s information to submit false bills to insurance companies.
What is the volume of the cone? use π ≈ 3. 14. 12. 56 cubic units 18. 84 cubic units 20. 93 cubic units 25. 12 cubic units
Answer:
Explanation:
the following formula is used to find the volume of a cone
V - volume = πr²h/3
where π = 3.14, r - radius and h - height
the height hasnt been directly given
we can find height using Pythogoras theorem for the right angled triangle given
4² + h² = 5²
16 + h² = 25
h² = 25 - 9
h² = 9
h = 3
height = 3
diameter is 4, therefore radius - diameter / 2 = 4/ 2 = 2
radius = 2
substituting values in the volume equation
V = 3.14 x 2² x 3 /3
= 12.56
volume is 12.56 cubic units
which of the following best predicts the results of a drought in the savanna research area with regards to community resilience to this environmental change?
A probable prediction is that the grazed area will recover faster from drought due to greater biodiversity.
What is biodiversity?Biodiversity refers to the variation (both phenotypic and genetic) present in a community and/or population.
Biodiversity is a fundamental issue for achieving ecosystem restoration after natural catastrophes.
In this case, drought is an environmental challenge that is more easily faced in presence of suitable levels of biodiversity.
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Breaking dna into nucleotides involves this process
Answer:
The answer is Hydrolysis
Explanation:
Hope that helps!
Western and central europe: 740,000 adults and children living with h i v and 12,000 deaths due to h i v. eastern europe and central asia: 1.7 million with h i v and 84,000 deaths. east asia: 750,000 with h i v and 43,000 deaths. south and southeast asia: 7.8 million with h i v and 90,000 deaths. oceania (including australia and new zealand): 81,000 with h i v and 4,000 deaths. middle east and north africa: 460,000 with h i v and 36,000 deaths. sub-saharan africa: 24.7 million with h i v and 2.1 million deaths. which area of the world has the most people living with hiv/aids? the middle east and north africa sub-saharan africa south and southeast asia eastern europe and central asia
Answer:
B. Sub-Saharan Africa
Explanation:
Magnesium chloride is a salt formed with ionic bonds
From a point 54.0 feet from the base of a flagpole, the angle of elevation to the top of the flagpole is 68.5°. find the height of the flagpole.
The flagpole forms a right-triangle with its base and its top
The height of the flagpole is 137.1 feet
How to determine the height?To determine the height, we make use of the following tangent trigonometry ratio
[tex]\tan(68.5) = \frac{h}{54.0}[/tex]
Where:
h represents the height of the flagpole.
So, we have:
[tex]h = 54.0 * \tan(68.5)[/tex]
Evaluate
[tex]h = 137.1[/tex]
Hence, the height of the flagpole is 137.1 feet
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if an adult human suffered a traumatic injury, could their notochord be damaged?
Answer:
Yes; because the notochord is deep within the body only a severe injury could damage it.
Explanation:
During the halftime performance for a football game, the color guard is planning a new formation in which seven members stand around a central point and stretch their flag to the person immediately to their left. 10. what is the measure of each exterior angle of the formation?
There are different kinds of angles. The measure of each exterior angle of the formation is 51.4.
What is a exterior angle in math?The term exterior angle is known to be the angle that is found between a side of a polygon and that of an extended adjacent side.
The shape of the halftime is regular heptagon.
Note that a regular heptagon has 7 congruent sides and 7 congruent interior angles.
So the exterior angles are said to be congruent, based on the fact that angles supplementary to congruent angles are regarded as congruent.
So Let take n as the measure of each exterior angle.
7n = 360
n= 360/n
To Solve for n =51.4
Therefore, The measure of each exterior angle of the formation is 51.4.
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Why does zora neale hurston use nonstandard english in this excerpt? to emphasize the relationship between john and his parents to provide a historical context in which the events occur to portray the dialect of african americans during the period to reflect the mixed emotions john’s mother has about her child
The reason why zora neale used Non standard English was in order for her to portray the dialect of African Americans during the period.
What is a dialect?This is a way of speaking a particular language that is peculiar to a group of persons.
The lady used non standard English to show us how Black Americans spoke their own version of the English language at the time.
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Answer: to portray The dialect of African Americans during the period
Explanation:
trust me
Which New Zealand cultural tradition is represented in the photo above?
A.
billy tea and damper
B.
the Waltzing Matilda
C.
haka
D.
Pakeha
C. haka edge 21-22
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True or false in a parallelogram any two opposite sides are congruent
Answer:
True
Explanation:
Among the properties of a parallelogram is that opposite sides are congruent.
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The ability of an apple to change color when exposed to air is a
Answer:
chemical reaction
Explanation:
7-3 mortgage application process worksheet answers
The mortgage process is known to be a very complicated on but its involves:
Pre-approvalHouse shoppingMortgage applicationLoan processingUnderwriting Closing.What occurs when a mortgage application is submitted?When one has submitted papers for a mortgage, The lender will have to review your application and documentation and see if one qualifies.
They often check the property through the act of lender's valuation. and by the reviewing of your application and the result of the valuation, they will make final decision regarding if they will give you or not.
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