SAT College

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.

Answers

Answer 1

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.

Related Questions

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.

Answers

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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What is the probability of obtaining a z-score greater than one SD above the mean?
z ≥ 1

Answers

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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WOne difference between prokaryotic cells and eukaryotic cells is that a eukaryotic cell contains
, while a prokaryotic cell does not.

Answers

Answer:

Mitochondrion

Explanation:

A eukaryotic cell has mitochondrion whilst a prokaryote does not.

Which of these is an image of a unicellular organism?

Answers

Answer:

Amoeba

Explanation:

One cell

Three cards are drawn from a standard deck of cards and not replaced.

What is the probability that the first card is a King and the last two cards are Queens? Write your answer as a simplified fraction.

Are the events independent? Explain.

Answers

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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