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Anna11 [10]
3 years ago
13

A 5 gallon bucket filled with water is being pulled from the ground up to a height of 20 feet. the bucket goes up 2 feet every 1

5 seconds. the bucket has a hole in it, so that 1 quart (1/4 gallon) of water leaks out of the bucket every 3 minutes. How much water will be left in the bucket by the time the bucket gets to the top?
side note: I already had someone answer this wrong, so please actually answer it.​
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

The bucket has to travel 20 feet.  

The buckets velocity is 8 feet per minute.  

The bucket's "journey" lasts 2.5 minutes.

The bucket loses 1 quart every 3 minutes.

So, during the "journey" the bucket loses (2.5 / 3.0) * 1 quart which equals 5/6 quarts.  (That's 5/24 of a gallon).

The question asks how much water REMAINS in the bucket.

Water remaining = 5 gallons minus (5/24) gallons

= 5 minus 0.2083333333 gallons = 4.7916666667  gallons

OR the bucket holds 5 gallons ( or  120 / 24) gallons

120 / 24 minus 5 / 24 equals 115 / 24 gallons =

4.7916666667  gallons  OR 4 gallons and 3 and 1/6 quarts

Step-by-step explanation:

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The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
storchak [24]

The value of z score for the history class test of Opal’s test score is negative one (-1).

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The z score for the normal distributed data can be given as,

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The mean value of the scores of history class is,

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The standard deviation value of the scores of history class is,

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Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

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Learn more about the normally distributed data here;

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3 years ago
Consider a function that describes how a particular cars gas mileage depends on its speed. What would be an appropriate domain f
Elina [12.6K]

gas mileage = k*s, where k is a constant of proportionality and s is the speed. Unfortunately, this does not take into account the fact that the engine consumes fuel even when the car is not moving.


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8 0
4 years ago
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Answer:

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Step-by-step explanation:

-x+2y=-11

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---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

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5x-8y=39

--------------------

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y=-8

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Marysya12 [62]
All you need to do is divide 96 by 8 and you get 12 as your answer
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