A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One day, the equipment elevator begins to descend. After 33 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time, which elevator is deeper?
Answers
Answer:
The position of the equipment elevator is 180 feet deep
The position of the miner's elevator is 156 feet deep
The equipment elevator is deeper.
Step-by-step explanation:
From the question,
For the equipment elevator
Velocity (v) = 4 feet/second
and for the miner's elevator,
Velocity (v) = 13 feet/second
To determine the position of each elevator, the position can be related to the distance covered.
From
Velocity = Distance / Time
Distance = Velocity × Time
Now, from the question,
The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.
Now, for the equipment elevator
Velocity = 4 feet/second
Time = (33 + 12 seconds) = 45 seconds
From
Distance = Velocity × Time
Distance = 4 × 45
Distance = 180 feet
The position of the equipment elevator is 180 feet deep
For the miner's elevator,
Velocity = 13 feet/second
Time = 12 seconds
Also, from
Distance = Velocity × Time
Distance = 13 × 12
Distance = 156 feet
The position of the miner's elevator is 156 feet deep
Hence, the equipment elevator is deeper.
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Write as a single exponent. 1. ( 1/10 x 1/10 x 1/10 x 1/10 )^22. ( 1/10 x 1/10 x 1/10 )^33. ( 10 x 10 x 10 )^-2
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When a business opens, it has an initial value of $956K. Two years later, the company has a value of $1.26 million.By how many dollars has the company increased in value? Do not round. By what percentage has the company increased in value? Round the percentage to one decimal place.
Whats the work for 0>3x-3-6
Answers
Answer:
28 years
Step-by-step explanation:
youngest brother's age = x
middle brother's age = x+2
oldest brother's age = x+4
3(x-2) = (x+2)+48
[simplify]
3x-6 = x+50
[add 6 to each side]
3x = x+56
[subtract x from each side]
2x = 56
[divide each side by 2]
x = 28
Final answer:
By forming an equation based on the information given in the question, we can deduce that the age of the youngest brother is 26 years.
Explanation:
Let's assume the youngest brother's age as 'x'. Since it's given that three brothers have **consecutive even integer** ages, the other two brothers' ages will be 'x+2' and 'x+4' respectively.
Per the question, three times the age of the youngest brother exceeds the oldest brother's age by 48 years, so we'll build an equation accordingly, which is 3x = x+4+48.
Now, let's simplify this equation: 3x = x+52. Subsequently, when we subtract x from both sides, we get 2x=52. Breaking it down further, we are left with x=26.
So, the age of the youngest brother is 26 years.
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B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)
Answers
The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
What is conditional probability ?
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.
How to identify the correct statement ?
Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.
Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.
P(A/B) means that the probability that A will occur given that B has already occurred.
As both the events are independent, therefore when A will occur, it will have no relationship with event B.
∴ P(A/B) = P(A) .
Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
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Events A and B are independent because P(A|B) = P(A).
Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.
B. 3/20
C. 1/10
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Answers
Answer: B.
Step-by-step explanation:
Let A be the event that a blue ball is drawn from urn l and let B be the event that a blue ball is drawn from urn ll.
Then P(A)=
and P(B)=
As both the events are independent, thus the probability that both balls are blue =
C.1/10
Answers
Answer:
Step-by-step explanation:
Answers
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x = 2.3
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- 6.9 - 6.9
-y = -2.9
-1 -1
y = 2.9
(x, y) = (2.3, 6.9)
The z-intercepts are
The y-intercept is
The vertex is
The line of symmetry has the equation
Give your answers as points, separated by a comma
Give your answer as a point.
Can someone help me please. Precalc is hard!!!
Answers
2. the y-intercept is (0, 10)
3. the vertex is (-0.75, 10.75)
4. the line of symmetry has the equation x = -0.75