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kolbaska11 [484]
2 years ago
13

A large container holds 8 gallons of water. After 56 minutes the container only has 1 gallon of water left. At what rate is the

water leaking. gal/min​
Mathematics
1 answer:
Korvikt [17]2 years ago
4 0

Answer:

The rate at which water leaking is \frac{1}{8} gal/min.

Step-by-step explanation:

Given:

A large container holds 8 gallons of water.

After 56 minutes the container only has 1 gallon of water left.

Now, to find at what rate is the water leaking.

So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.

Time taken for leakage = 56 minutes.

<em>Now, to get the rate:</em>

\frac{Gallons\ of\ water\ leaked}{Time\ taken\ for\ leakage}

=\frac{7 gallons}{56 minutes}

=\frac{1 gallon}{8 minutes}

The rate = \frac{1}{8} gal/min.

Therefore, the rate at which water is leaking is \frac{1}{8} gal/min.

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Viefleur [7K]

Given:

The inequality is

3|p+4|+5

To find:

The solution set for the given inequality.

Solution:

We have,

3|p+4|+5

3|p+4|

3|p+4|

Divide both sides by 3.

|p+4|

It can be written as

-1

Subtracting 4 from each side, we get

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The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

7 0
2 years ago
Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample
hichkok12 [17]

Answer:

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is  given by

$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $

Where n is the sample size, s is the sample standard deviation and z_{\alpha/2} is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

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From the z-table at α = 0.05

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Therefore, the margin of error is 0.776.

3 0
2 years ago
4. Seven times the difference of a number k and five is twenty-onel
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Answer:

k = 8

Step-by-step explanation:

7(k - 5) = 21

k - 5 = 3

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Hope this helps!

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3 years ago
Note: A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is
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Step-by-step explanation:

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3 years ago
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