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nadezda [96]
3 years ago
12

A closet is in the shape of a right rectangular prism. It measures 414 ft long, 314 ft wide, and 6 ft tall.What is the volume of

the closet?
Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

Answer:

82.875

Step-by-step explanation:

4 1/4 feet long, 3 1/4 feet wide, and 6 feet tall.  4 1/4x 3 1/4x 6= 82.875

 

What is the volume of the closet?

mestny [16]3 years ago
6 0

Answer:

The volume of closet is 7,79,976 cubic feet.            

Step-by-step explanation:

We are given the following information in the question:

A closet is in the shape of a right rectangular prism.

The measurements of closets are given as:

Length = 414 feet

Width = 314 feet

Height = 6 feet

Formula:

\text{Volume of right rectangular prism} = \text{Length}\times \text{Width}\times \text{Height}

Putting the values:

\text{Volume of closet} = 414\times 314\times 6 = 7,79,976\text{ cubic feet}

Thus, the volume of closet is 7,79,976 cubic feet.

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According to Scarborough Research, more than 85% of working adults commute by car. Of all U.S. cities, Washington, D.C., and New
tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

8 0
3 years ago
Put these decimals from least to greatest<br> 8.37 8.3 8.219 8.129
patriot [66]
8.129
8.219
8.3
8.37

Always go from left to right as compare the values in the tenth, then hundredths, then thousandths place. Remember that if there is no digit, it is a 0 (after the decimal of course).
7 0
3 years ago
Read 2 more answers
What smaller angle is coterminal with 573°
Kobotan [32]

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

<u>Explanation:</u>

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

5 0
3 years ago
What are all the solutions of x2 + 3x – 4 = 0?<br> -4<br> -2<br> -1<br> 0<br> 1<br> 2<br> 4
Alex17521 [72]

Answer: 1, -4

Step-by-step explanation:

Move all the terms to the left side and set equal to zero. Then set each factor equal to zero. X= 1,-4

7 0
2 years ago
Given that set A={1,2,3,4,5}and set B={2,4,6,8} AnB'​
Liono4ka [1.6K]

Step-by-step explanation:

First u hv to understand what is asked. Here, u have to find the intersecting numbers from the set A and not included in set B. Thus, u know except foe 2,4,6,8, othher numbers are not in set B. Set A is included 1,2,3,4,5. In this way u can simply find AnB' as AnB'={1,3,5}

8 0
3 years ago
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