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oee [108]
3 years ago
12

A sealed rectangular container 10 inches by 12 inches by 6 inches is sitting on its largest face. If it is filled with water up

to a level 2 inches from the top, how many inches from the bottom will the water level reach if the container is placed on its smallest face?
Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Answer:

8 inches

Step-by-step explanation:

Given: Dimension of rectangular container= (10\times12\times 6)\ inches

           Water is filled up to a level 2 inches from the top.

As given that container is sitting on its largest face, then it is standing on (10\times 12)\ inches

Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.

∴ Height of water inside the container= 6-2= 4 \ inches

Now, finding the volume of water inside.

we know, Volume= length\times width\times height

Volume= 10\times 12\times 4= 480\ inches^{3}

Next, if container is placed in its smallest face then it is standing on (10\times 6)\ inches and lets assume height to be "x"

Forming an equation now to express the volume conservation law.

⇒ 480\ inches^{3} = 10\times 6\times x

⇒480= 60x

dividing both side by 60

⇒x= \frac{480}{60}

∴ x= 8 inches

Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face

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djyliett [7]

Answer: (0.10\ ,\ 0.18)

Step-by-step explanation:

According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-

(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})

Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-

(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)

Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= (0.10\ ,\ 0.18)

8 0
3 years ago
Our of the four runners: Alex, Ben, Curtis, and Dan, the oldest came in second place. Alex ran the distance faster than Curtis,
Alexus [3.1K]

Considering the situation described, the classification of the runners is given as follows:

Dan - Ben - Alex - Curtis.

<h3>What is the classification of the runners?</h3>

The oldest came in second place. Ben is older than Alex, and Curtis is older than Dan, hence either Ben or Curtis finished second.

Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis, hence considering the above observation Ben finished second and the classification is:

Dan - Ben - Alex - Curtis.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

5 0
1 year ago
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

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Step-by-step explanation:

The null hypothesis H_{0} states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form H_{0}: parameter = value

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

7 0
3 years ago
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Answer: DE, EW WD

Step-by-step explanation:

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6 0
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Step-by-step explanation:

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