The probability that the first card is a King and the last two cards are Queens when three cards are drawn from a standard deck without replacement is 1/5525, and the events are not independent.
What is a deck of cards?
A deck of cards is a collection of 52 rectangular-shaped cards, usually made of paper or plastic, that are used to play various card games. The deck is divided into four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King). In some card games, such as poker, the Ace can be used as a high or low card, depending on the rules of the game. The deck of cards also includes two Jokers, which are often used as wild cards in certain games.
The probability of drawing a King on the first card is 4/52 (since there are 4 Kings in a deck of 52 cards).
After the first King is drawn, there are 51 cards remaining, of which 4 are Queens. So the probability of drawing a Queen on the second card is 4/51.
After the second Queen is drawn, there are 50 cards remaining, of which 3 are Queens. So the probability of drawing a Queen on the third card is 3/50.
To find the probability of all three events happening together, we multiply the probabilities of each event:
(4/52) * (4/51) * (3/50) = 1/5525
Therefore, the probability that the first card is a King and the last two cards are Queens is 1/5525.
The events of drawing the King and the Queens are not independent because the probability of drawing the Queens depends on whether or not a King was drawn first. If a King was drawn first, then there are fewer cards left in the deck, which changes the probability of drawing a Queen on the second and third cards.
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WOne difference between prokaryotic cells and eukaryotic cells is that a eukaryotic cell contains
, while a prokaryotic cell does not.
Answer:
Mitochondrion
Explanation:
A eukaryotic cell has mitochondrion whilst a prokaryote does not.
Molly is wrapping up parts of sandwich’s to sell at her sandwich cart.she cuts each sandwich in fourths and then wraps each fourth separately.she says that she wrapped 16 fourths,so she wrapped 16 whole sandwich’s. What was mollys mistake?
Molly's mistake is that she actually wrapped 4 whole sandwiches, not 16.
Since she cuts each sandwich into fourths, each whole sandwich produces four fourths. Therefore, if she wrapped 16 fourths, she must have cut up and wrapped 16/4 = 4 whole sandwiches.
It seems like Molly made the mistake of assuming that the number of fourths wrapped was equivalent to the number of whole sandwiches wrapped. However, this is only true if she were wrapping the entire sandwich and not just the fourths.
Which of these is an image of a unicellular organism?
Answer:
Amoeba
Explanation:
One cell
1- Toni Morrison is one of America's outstanding [Q1] authors, she is known for her critical essays, her novels, and her frequent appearances on television. (A) No change (B) authors; she is known (C) authors famous (D) authors since known
Answer:
B
Explanation:
Option B is correct: Toni Morrison is one of America's outstanding authors; she is known for her critical essays, her novels, and her frequent appearances on television.
38. The writer wants to complete the sentence with
another example of tragicomedies' unusual
structure. Which choice would best accomplish
this goal?
(A) NO CHANGE
(B) and goes back to everyday routines.
(C) and even cruel characters become reformed.
with especially the lead characters surviving.
The writer wants to complete the sentence with another example of tragicomedies' unusual structure. The choice that would best accomplish
this goal is Option C.
What is the explanation for the above response?"and even cruel characters become reformed. with especially the lead characters surviving, would best accomplish the writer's goal of providing another example of tragicomedies' unusual structure.
This option highlights the fact that even the most villainous characters can find redemption in Shakespeare's problem plays, and it emphasizes the happy endings that are unexpected in tragedies.
Tragicomedies are plays that blend elements of both tragedy and comedy, often featuring suspenseful and morally ambiguous plotlines that ultimately end on a positive note.
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Name and explain two factors that contribute to a detrimental relationship
Poor Communication and Lack of Trust are two factors that contribute to a detrimental relationship.
How Poor Communication and Lack of Trust is detrimental to relationshipPoor communication between a manager and employee can lead to a detrimental relationship. If the manager does not properly explain tasks and expectations, the employee may not be able to perform to the level expected. Additionally, if the manager does not provide timely feedback or constructive criticism, the employee may feel like their efforts are not appreciated and may become disengaged.
If a manager does not trust an employee to complete tasks or take initiative, it can create a toxic environment and lead to a detrimental relationship. Additionally, if the manager does not trust the employee’s judgement, they may micromanage or become overly controlling, which can be demoralizing and lead to a breakdown in communication.
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A college has an undergraduate enrollment of 3500 students of those 860 business majors and 1800 are women of the business majors 425 are women 
Answer:
0.639
Explanation:
Dottie Kleman is the ""Cookie Lady."" She bakes and sells cookies at 50 different locations in the Philadelphia area. Ms. Kleman is concerned about absenteeism among her workers. The information below reports the number of days absent for a sample of 10 workers during the last two-week pay period. 4 1 2 2 1 2 2 1 0 3 1. Determine the mean and the standard deviation of the sample. 2. Develop a 95 percent confidence interval for the population mean. 3. Is it reasonable to conclude that the typical worker does not miss any days during a pay period?
The mean of the sample is:
(4 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 0 + 3 + 1) / 11 = 1.64
To find the standard deviation of the sample, we first need to calculate the variance:
((4 - 1.64)² + (1 - 1.64)² + (2 - 1.64)² + (2 - 1.64)² + (1 - 1.64)^² + (2 - 1.64)² + (2 - 1.64)² + (1 - 1.64)² + (0 - 1.64)² + (3 - 1.64)² + (1 - 1.64)²) / 10
= 1.1144
So the standard deviation of the sample is the square root of the variance:
√(1.1144) = 1.055
To develop a 95 percent confidence interval for the population mean, we first need to calculate the standard error of the mean:
1.055 / √(11) = 0.318
Then, we can use the t-distribution with 10 degrees of freedom (n-1) and a 95% confidence level to find the margin of error:
t(0.025, 10) * 0.318 = 0.677
The 95% confidence interval is then:
1.64 - 0.677 to 1.64 + 0.677
or
0.963 to 2.317
It is not reasonable to conclude that the typical worker does not miss any days during a pay period, as the sample mean is 1.64, indicating that on average, workers miss almost 2 days per pay period. However, the confidence interval does include the possibility of 0 days absent, so we cannot rule out the possibility entirely.
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the impact that ongoing changes in parent or guardian relationships of the grade 11 could have on their ability to achieve academic goals
Answer:
Any impact that is applied on the ongoing changes in the parental or guardian relationships of Grade 11 or any students in general could have alot of mental strain and depression on the child's mind. It can alter him to find other ways to get out of the situation and would distract him from his studies and hence would weaken his ability to achieve his academic goals.
Which of the following situations will include the origin when graphed?
Hayley runs at a pace of 1 mile every 8 minutes.
Gas costs $3.50 per gallon.
It is 68° at 7 a.m., and the temperature increases 5° every hour.
Phone service costs $5.00, and an additional 5 cents for each minute.
The situation that will include the origin when graphed is phone service costs $5.00, and an additional 5 cents for each minute.
When we graph this situation, the x-axis represents the number of minutes used, and the y-axis represents the total cost. At zero minutes, the total cost is $5.00, which is the origin. As the number of minutes used increases, the total cost will increase as well, resulting in a line with a positive slope.
Dash (indicates break in text) meaning noun
The noun "dash" has multiple meanings, depending on the context.
What are the contexts?A punctuation mark (-) used to separate phrases or clauses within a sentence or to indicate a pause or break in thought.
Example: She ran - fast - toward the finish line.
A sudden and quick movement or action.
Example: He made a dash for the door.
A small amount of a liquid or ingredient used in cooking.
Example: Add a dash of salt to the soup.
A short sprint or race, usually over a short distance.
Example: The athletes ran a 100-meter dash.
A horizontal line or stroke used for decorative or ornamental purposes.
Example: The vase was decorated with dashes of gold paint.
A signal, usually a radio signal, used to transmit information over a long distance.
Example: The pilot received a dash from the control tower
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in a right triangle , the leg lengths are 4 in and 4.5 in. what is the length of the hypotenuse?
Answer: [tex]c = \frac{\sqrt{145} }{2}[/tex]
Explanation:
The formula for the hypothenuse is [tex]c^{2} = a^{2} +b^{2}[/tex]
In this case a = 4in and b = 4.5in
therefore [tex]c =\sqrt{(4.5in)^{2} +(4in)^{2} }[/tex]
What is the probability of obtaining a z-score greater than one SD above the mean?
z ≥ 1
The correct answer is The probability of obtaining a z-score greater than one standard deviation (SD) above the mean can be calculated using the standard normal distribution table or a statistical software.
Assuming a normal distribution, the probability of obtaining a z-score greater than or equal to 1 is approximately 0.1587, which means there is a 15.87% chance of obtaining a z-score greater than one SD above the mean. This can be explained by the properties of a normal distribution, where 68% of the data falls within one standard deviation of the mean, and the remaining 32% is distributed in the tails of the distribution. Half of this 32% (16%) is located in the upper tail of the distribution, which corresponds to z-scores greater than one SD above the mean. Therefore, the probability of obtaining a z-score greater than one SD above the mean is 0.1587 or approximately 15.87%.
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