Out of five men and five women, we form a committee consisting of four different people. Assuming that each committee of size four is equally likely, find the probabilities of the following events:.
The probabilities of the following events are 10/21, 11/42,41/42, and 2/15 respectively
How to find probabilitiesProbability of forming a committee consisting of two men and two women = (5C2 × 5C2) / 10C4
5C2 = 5! / 2!(5 - 2)!
= 5! / 2!3!
= 5×4× / 2×1
= 20/2
= 10
So,
(5C2 × 5C2) / 10C4
= 10×10 / 210
= 100/210
= 10/21
Probability of forming a committee consisting of two men and two women = 10/21
Probability of forming a committee that has more women than men. This means forming a committee that has 4 women, 0 men or 3 women 1 man
= {(5C3 × 5C1) + (5C4 × 5C0)} / 10C4
= {(10×5) + (5×1)} / 210
= (50 + 5) / 210
= 55/210
= 11/42
Probability of forming a committee that has at least one man. This means the committee must not have all women as members
= 1 - 5C4/10C4
= 1 - 5/210
= 1 - 1/42
= 41/42
Probability of forming a committee with both Alice and Bob are members of the committee. This means there are only two more people to join the committee from the remaining 8 people.
= 8C2 / 10C4
= 28/210
= 2/15
The complete question:
1. The committee consists of two men and two women.
2. The committee has more women than men.
3. The committee has at least one man. For the remainder of the problem, assume that Alice and Bob are among the ten people being considered.
4. Both Alice and Bob are members of the committee.Shouldn't it be like a coin toss but with more than just heads and tails?
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At the end of 10 years, which of the following investments would have the highest future value? assume that the effective annual rate for all investments is the same and is greater than zero.
The investment which would have the highest future value is; Choice B; Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
The correct question has options given as;
a. Investment E pays $250 at the end of every year for the next 10 years (a total of 10 payments).b. Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).c. Investment B pays $125 at the end of every 6-month period for the next 10 years (a total of 20 payments).d. Investment D pays $2,500 at the end of 10 years (just one payment).e. Investment C pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20 payments).Compound interest SituationsChoice B. in which case, Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
This investment is of higher future value because the sum is received initially and it hence, gets one more compounding period than the same sum received at the end of the year as in Choice A. Additionally, this investment is of more future value than Choice C. that pays a sum after 6 months and loses out on compounding for first six months. It is also greater than Choice D. that pays a cumbersome amount of $2500 with no compounding, as well as Choice E. that pays a sum which is half of $250 at the beginning of the period.Read more on compound interest;
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While on exchange in chile richard purchased an electronic day-planner that was advertised as follows. Which of the following features is not mentioned in the ad? date reminder compatibility with other software programs two-year calendar accessible from any computer.
Answer:
C is the answer, two-year calendar
Explanation:
When the text is translated into English the only feature that is not mentioned in the ad is the two-year calendar.
Answer:its ccccccccccccccccccccccccccc
Explanation:
When akbar’s son was four years old, akbar put $250 into an account that guaranteed a 10% annual return. The equation mc029-1. Jpg represents the amount of money in the account when the child will be x years old. Which graph models the scenario?.
The functin that represents the given situation is P(x) = 250e^1.1x
Exponential graphs and equationGiven the following parameters from the questions
Principal = $250
Rate = 10%
Time = x
The standard exponential function is given as:
P(t) = P0e^rt
Substitute the given parameters to have:
P(x) = 250e^(1+0.10)x
P(x) = 250e^1.1x
Plotting graph of the resulting function will give:
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Answer:
the answer is C, the graph with the straight line.
How much charge is needed in the electrolysis of molten cabr2 using a current of 30. 0 a for 10. 0 hours?.
The amount of charge is needed in the electrolysis of molten cabr2 is 1.08 * 10⁶ C
Charge
Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.
Charge can either be positive or negative.
Charge (Q) is given by:
Q = It
where I is the current and t is the time.
I = 30 A, t = 10 hr = (10 * 60 * 60)s = 36000 s
Q = 30(36000) = 1.08 * 10⁶ C
The amount of charge is needed in the electrolysis of molten cabr2 is 1.08 * 10⁶ C
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Negative outcomes of optimism typically include: (check all that apply. ).
Answer:
First off, well-being is defined as the overall evaluation a person makes regarding their life and emotional experiences. It's the combination of "feeling good" or positive affect, low levels of negative affect or negative feelings, and life satisfaction (a broad cognitive appraisal regarding one's life). A part of well-being is determined by the direct attempt that people make to influence their own well-being (their internal actions). 3 ways out of many that people can do this is through optimism, positive emotions, and forgiveness.
Just tell me (& send a screenshot too if you can) how many followers the first person who I'm following has.
user = blackshades
The friends list is the followers otherwise it would be unaccepted friend requests.
During aerobic respiration electrons travel in which sequence.
Answer:
Glucose → NADH → electron transport chain → Oxygen
Explanation:
The equilibrium system between nitrogen gas, oxygen gas, and nitrogen dioxide gas is given. N2(g)+2o2(g)↽−−⇀ 2no2(g) write the balanced chemical equation for the reverse reaction. Include physical states for all species.
The balanced chemical equation for the reversed reaction is;
2NO2(g) ==> N2(g) + 2O2(g).Reverse ReactionThe given chemical equation in equilibrium is;
N2(g) + 2O2(g) ↽−−⇀2NO2(g).Hence, it follows that; the reversed reaction with indication of phase changes is as follows;
2NO2(g) ==> N2(g) + 2O2(g).Read more on reversed reaction;
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Based on the relationships in circles a and b, which relationship is true for circle c?.
It should be noted that when there are two secant segments that intersect each other in a circle, the product of a segment is equal to that of the other segment.
What is a segment?Your information is incomplete. Therefore, an overview of the relationship in a circle will be given. A segment is the set of points that has two end points.
There are two segments that can cross your circle which are the secant segment and the tangent segment.
Another relationship is that according to intersecting chord theorem, when two chords intersect inside a circle, the length of ab will be equal to cd.
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What is the meaning of life
Answer:
The meaning of life is to have fun
Explanation:
Answer:
to live and love
Explanation: hope this helps
Each of the following are types of technological impacts related to internal control:.
Answer: separation of duties, new evidence of processing, reduced processing errors, more intensive testing of records
Explanation:
Borrower company borrowed $100,000 from bank a on august 1 of year 1. The annual interest rate on the loan is 12%. Borrower company will repay the entire loan, both principal and accrued interest, after one year on july 31 of year 2. So, borrower company will pay no cash to bank a between august 1 of year 1 and july 31 of year 2. Which one of the following is included in the single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2?.
The single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2 is: CREDIT to Interest Payable for $5,000.
Principal and accrued interestBased on the information given the journal entry to record the transactions for borrower company is:
Borrower company journal entry
Debit Interest expense $7000
(12%×$100,000×7/12)
Debit Interest payable $5000
(12%×$100,000×5/12)
Debit Note payable $100,000
Credit cash $112,000
($100,000+$7,000+$5,000)
(To record accrued interest)
Inconclusion the single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2 is: CREDIT to Interest Payable for $5,000.
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Consider a disk that rotates at 3600 rpm. The seek time to move the head between adjacent tracks is 2 ms. There are 32 sectors per track, which are stored in linear order from sector 0 through sector 31. The head sees the sectors in ascending order. Assume the read/write head is positioned at the start of sector 1 on track 8. There is a main memory buffer large enough to hold an entire track. Data is transferred between disk locations by reading from the source track into the main memory buffer and then writing the data from the buffer to the target track. A. How long will it take to transfer sector 1 on track 8 to sector 1 on track 9? b. How long will it take to transfer all the sectors of track 8 to the corresponding sectors of track 9?.
Answer:
19.71 ms
Explanation:
The disk rotates at 3600 rpm, hence the time for one revolution = 60 / 3600 rpm = 16.67 ms.
Hence time to read or write on a sector = time for one revolution / number of sectors per track = 16.67 ms / 32 sectors = 0.52 ms
Head movement time from track 8 to track 9 = seek time = 2 ms
rotation time to head up sector 1 on track 8 to sector 1 on track 9 = 16.67 * 31/32 = 16.15 ms
The total time = sector read time +head movement time + rotational delay + sector write time = 0.52 ms + 2 ms + 16.15 ms + 0.52 ms = 19.19 ms
Select the statements that would allow you to conclude that the relationship between a response variable y and an explanatory variable x is linear.
Here are the statements that would allow you to conclude that the relationship between a response variable y and an explanatory variable x is linear:
- The graph of y versus x shows the points lying approximately along a straight line.
- The correlation coefficient r between x and y is close to +1 or -1.
- The regression equation relating y to x is of the form y = bx + a, where b and a are constants.
- The residuals (differences between observed and predicted values of y) show no systematic pattern when plotted against x.
- An F-test or t-test on the regression model gives a statistically significant result for the coefficient of x.
- Adding higher order terms of x (like x^2, x^3 etc) to the regression equation does not significantly improve the model fit.
- There are no statistical interactions detected between x and other explanatory variables when modeling y.
In summary, signs of a linear relationship include a straight line pattern in the data plot, a high correlation coefficient, a significant linear regression model, random residuals, and lack of improvement by adding nonlinear terms or interactions. These indicators would allow you to conclude that the relationship between y and x is best described by a linear model.
A factory manager selected a random sample of parts produced on an old assembly line and a random sample of parts produced on a new assembly line. The difference between the sample proportion of defective parts made on the old assembly line and the sample proportion of defective parts made on the new assembly line (old minus new) was 0. 6. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being the proportion of defective parts made on the old assembly line is greater than that of the new assembly line. The p-value of the test was 0. 18.
Considering the p-value of the test, it is found that there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.
What are the hypothesis tested?At the null hypothesis, it is tested that the proportion of defective parts made on the old assembly line is not greater than that of the new assembly line, that is:
[tex]H_0: p_O = p_N[/tex]
At the alternative hypothesis, it is tested if the proportion is greater, that is:
[tex]H_1: p_O > p_N[/tex]
What is the decision?The p-value is greater than the standard significance level of 0.05, hence we do not reject the null hypothesis, that is, there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.
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The earth is an inner planet give reason in short
[tex] \large \sf{Answer}[/tex]
The planets Mercury, Venus, Earth, and Mars, are called terrestrial because they have a compact, rocky surface like Earth's terra firma. ... The presence of life on Earth causes oxygen to be abundant in the atmosphere, and in this Earth is unique in our solar system.Answer:
The inner planets are the planets that orbit closest to the sun, which are the first four planets : Mercury, Venus, Earth, and Mars
The graph above represents which characteristic type of population growth?.
The type of population growth that the given graph represents is; Logistic
What are population Graphs?The given attached graph shows logistic growth because logistic growth is regarded as one whereby it's population per capita growth rate starts to reduce and continue in that same reduction as it's population size approaches a maximum.
Now, the maximum population size is usually imposed as a result of the limited resources that are in environment. The curve that is associated with this is S-shaped in curve which is the same as that in the question attached.
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Montague: but i can give thee more; for i will raise her statue in pure gold; that while verona by that name is known. There shall no figure at such rate be set as that of true and faithful juliet. Capulet: as rich shall romeo by his lady lie; poor sacrifices of our enmity! —romeo and juliet, william shakespeare what cause for the catastrophe is finally realized by capulet? which detail supports the cause?.
Answer:
Feuding between families
"Poor Sacrifices our enmity!"
Explanation:
Just finished assignment, got 100%
Answer:
feuding between families
poor sacrifices our enmity
Explanation:
Calculate the cost of preferred stock for ohio valley power company, which is planning to sell p100 million of p3. 25 cumulative preferred stock to the public at a price of p25 per share. Flotation costs are p1. 00 per share. Ohio valley has a marginal income tax rate of 40%.
The cost of preferred stock for Ohio valley power company is 13.54%
What is cost of preferred stock?The cost of preferred stock refers to the opportunity cost foregone by Ohio valley power company, due to having investment through the usage of its preferred capital.
Cost of preferred stock:
= Cumulative preferred stock ÷ (Price per share - flotation cost)
= 3.25 ÷ (25-1)
= 13.54%
Hence, the cost of preferred stock for Ohio valley power company should be 13.54%
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Which of the following describes an environmental problem that can result from the combustion of fossil fuels to generate electricity?.
An environmental problem that may result from the combustion of fossil fuels when used to generate electricity is that: it can lead to global climate change when released into the atmosphere.
What is a fossil fuel?A fossil fuel can be defined as a form of non-renewable energy that are typically made up of hydrocarbons (carbon and hydrogen) and are formed within Earth's crust, especially from the remains of dead plants and animals i.e decomposing plants and animals.
Generally, the combustion of fossil fuels can be used to generate electricity. However, an n environmental problem that may result from the combustion of fossil fuels when used to generate electricity is that it can lead to global climate change when released into the atmosphere because carbon dioxide is a by-product that is derived from the combustion fossil fuels.
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Classify each salt as acidic, basic, or neutral. Drag the appropriate items to their respective bins.
Answer:
do you happen to have a picture of it?
Which kind of reaction is more common on earth than the sun?.
Chemical reaction is the type of reaction which is more common on earth than the sun.
What is Chemical reaction?This is the process in which substances which are known as reactants combine to form something new (product).
This type of reaction is commonly found on Earth and examples of such reactions include the following
PhotosynthesisCombustionPrecipitation etc.Read more about Chemical reaction here https://brainly.com/question/11231920?source=archive
Why did the economies of the former east german areas collapse during reunification?.
Answer:
because they are not building well from stating point until the end
Referring to figure 1, explain the process illustrated between step 1 and step 2.
The process illustrated is the elongation of an amino acid chain.
What does the figure illustrate?Step 1. This figure shows the process of synthesis of an amino acid change, which occurs in the ribosome. In this, you can observe two transfer RNA attached to one aminoacid chain represented by the letters.Step 2. This figure shows the two aminoacid chains that have joined to create one unique amino acid chain, due to this, one of the transfer RNA is now free.How does this occur?This is possible due to translation elongation. In this process, amino acids are bound together by pairing up two transfer RNA. Moreover, this requires an elongation factor that makes it possible to add aminoacids to a chain and therefore make the chain longer.
Note: This question is incomplete because the figure is not provided. Below, I attached the figure.
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Keeping your core muscles strong will help prevent injuries question 1 options: true false.
How has climate influenced the size of house sparrows?.
Point E is a point on line segment PR between P and R. The length of segment PE is 12 cm and the length of segment PR is 20 centimeters. If point A is the midpoint of segment PE, what is the length of segment AR?
For each of the following elements, predict where the "jump" occurs for successive ionization energies (ie).
There are different kinds of theories. The the "jump" occurs for successive ionization energies between the second and third ionization energies.
What leads to the jump in successive ionization energies?This often takes place when electrons are said to be removed in succession from a specific element.
This transition from the removal of valence electrons to the removal of core electrons leads to a large jump in ionization energy.
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What is the difference between profit and revenue brainly.
Profit is the amount of income that remains after counting all additional debts and money fees.
Revenue is the total income generated by the sale of goods or items.
Hope this helps!