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laiz [17]
3 years ago
7

A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th

e pool is 6000 cubic feet.
Find the length and width of the pool

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0
To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism.  You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

The width of the pool is 20 feet.

The length of the pool is 3 x 20 ft or 60 feet.

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Answer:

-6

Step-by-step explanation:

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3 years ago
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The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st
I am Lyosha [343]

Answer:

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻'  be a random variable in Normal distribution

Let   X⁻ = 325,000

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }  = \frac{325000-290000}{\frac{145000}{\sqrt{100} } }  = 2.413

<u><em>Step(ii):</em></u>-

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413)

                           = 0.5 - A(2.413)

                           = 0.5 - 0.4920

                           = 0.008

<u><em>Final answer:-</em></u>

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

6 0
3 years ago
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged unde
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22%

Step-by-step explanation:

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2- 0.22 x 100 = 22%

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3 years ago
You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri
Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

b = 12.99

Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

y = 2.99x + 12.99

I hope I've helped you.

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A rope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. One
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