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umka2103 [35]
3 years ago
6

The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindri

cal container with a height of 2 feet and a radius of 4 inches. Alex fills his 1-gallon jug from the clubhouse tank before going on a hike. If the 5-gallon tank was full, what was the height of the water in the tank after Alex filled the 1-gallon jug?
Mathematics
2 answers:
Ghella [55]3 years ago
6 0
After Alex fill's the jug, the remaining volume of water will be 4 gallons
1 gallon is equivalent to 231 cubic inches
The volume of a cylinder is given by
V = πr²h
4 x 231 = π x 4² x h
h = 181.4 inches or 15.1 feet
user100 [1]3 years ago
6 0

Answer:

The answer is 19.20 inches

Step-by-step explanation:

Given is :

The tank is a 5-gallon cylindrical container with a height of 2 feet and a radius of 4 inches.

The inch measurement along the height of the tank is as 2 feet for 5 gallons, or 2.5 gallons per foot.

So, volume per inch is = \frac{5}{24} gallons per inch.

Now the volume calculation according to the geometric cylinder shape is not necessary.

After the 1 gallon was removed, the water level will be at:

24 -\frac{24}{5}

= \frac{120-24}{5}

= \frac{96}{5}=19.20 inches.

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Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common
Sati [7]

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =  

4.4722

7 0
3 years ago
Find the rational number whose decimal expansion is 0.3344444
Eddi Din [679]
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...

And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...

Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
6 0
3 years ago
A rectange has a width of 9 units and a length of 40 unit. what is the length in diagonal
AlekseyPX

Answer:

41 units

Step-by-step explanation:

The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.

c² = a² + b²

d² = 9² + 40²

d = 41

The diagonal is 41 units long.

3 0
3 years ago
In the episode pertaining to the discovery of radium, all of the hypotheses turned out to be true.
Sunny_sXe [5.5K]

Answer:

In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.

There are some hypotheses in the episode thay turned out to be false.

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How to write 30+54 in distributive property in an easy way
ivanzaharov [21]

Are you trying to combine? The answer would be 84.

5 0
3 years ago
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