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3 years ago

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Mathematics

1 answer:

yaroslaw [1]3 years ago

7 0

Answer:

-34496 gallons = 34496 gallons less

Step-by-step explanation:

In 112 minutes, 1215(112) = 136080 gallons of water is added by the faucet

In 112 minutes, 1523(112) = 170576 gallons of water are drained from the pool.

So, assuming that the pool is not completely drained in the 112 minute time interval, the change in the amount of water = 136080 - 170576 = -34496 gallons; i.e., the amount of water in the pool is 34496 gallons less.

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Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather app

Sunny_sXe [5.5K]

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

The population mean is less than 1.5

The sample size is n = 7

The sample data is 2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as

$\= x = \frac{ \sum x_i }{ n }$

=> $\= x = \frac{ 2 + 0 + 1 + 5 + 0 + 2 + 3 }{ 7 }$

=> $\= x = 1.857$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (2 - 1.857)^2 + (0 - 1.857)^2 +\cdots (3 - 1.857)^2}{7} }$

=> $\sigma = 1.773$

The null hypothesis is $H_o : \mu = 1.5$

The alternative hypothesis is $H_a : \mu < 1.5$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

=> $z = \frac{\= x - 1.857 }{ \frac{1.773 }{\sqrt{7} } }$

=> $z = 0.53$

Generally the p-value is mathematically represented as

$p-value = P(z < 0.53 )$

From the z-table

$P(z < 0.53 ) = 0.70194$

$p-value = 0.70194$

From the values obtained we see that $p-value > 0.05$

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

7 0

3 years ago

To compare and order fractions,the fraction can be written with a

anastassius [24]

Answer:

By figuring out the benchmark, you can determine which fractions are larger or smaller than each other. ... In order to be exact when comparing and ordering fractions, you have to find a common denominator for all of the fractions. Then, compare or order the fractions by looking at the value of the numerator.

Step-by-step explanation:

7 0

3 years ago

Which is the approximate mass of a button?

pav-90 [236]

<span>I narrowed it down to C or D because all the other options are not ways of measuring mass of a physical mass such as a button, and I have concluded the answer is C. 1 kilogram</span>

3 0

4 years ago

I need help with this

Zanzabum

3 + 3 + 3 + 3 + 5 + 5 = 22

the perimeter is 22 cm

7 0

3 years ago

What is the total area of the composite figure below?

BARSIC [14]

The answer is 45 cm2 hope this helps have a nice day

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3 years ago