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Lady bird [3.3K]
2 years ago
5

What is the volume of the rectangular prism in cubic yards?​

Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0

The volume of the rectangular prism is 1120 yd³.

<h3>What is a prism?</h3>

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

To calculate the volume of the rectangular prism, we use the formula below.

Formula:

  • V = LWH.......... Equation 1

Where:

  • V = Volume of the rectangular prism
  • L = Length of the prism
  • W = Width of the prism
  • H = Height of the prism.

From the question,

Given:

  • L = 14 yards
  • W = 8 yards
  • H = 10 yards.

Substitute thee values into equation 1

  • V = 14×8×10
  • V = 1120 yd³

Hence, The volume of the rectangular prism is 1120 yd³.

Learn more about prism here: brainly.com/question/12691050

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Find the distance between the two points rounding to the nearest tenth (if necessary).
Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }

Let's plug in what we know.

d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }

Evaluate the double negative.

d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }

Evaluate the parentheses.

d = \sqrt{(5)^2 + (-12)^2 }

Evaluate the exponents.

d = \sqrt{(25) + (144) }

Add.

d = \sqrt{(169) }

Evaluate the square root.

d = 13

13 units

Hope this helps!

4 0
3 years ago
Read 2 more answers
3 (x -1) = 5x +3 -2x
Vika [28.1K]

Steps to solve:

3(x - 1) = 5x + 3 - 2x

~Distribute left side

3x - 3 = 5x + 3 - 2x

~Combine like terms

3x - 3 = 3x - 3

~Subtract 3x to both sides

-3 = -3

~Add 3 to both sides

0 = 0

All real numbers are solutions.

Best of Luck!

6 0
4 years ago
As a marketing manager, you are tasked with selecting a website to place your advertisement. The following sampled data shows th
olasank [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

5 0
2 years ago
How do you evaluate the expression to this problem 24 divided by (-4)+(-2) times (-5)
Tju [1.3M]

24/-30 would be the answer

8 0
3 years ago
Read 2 more answers
Freddy has a shelf that is 72/5 inches wide. How many catalogs can freddy arrange on the shelf if each catalog is 4/5 of an inch
Leni [432]
Hey!

72/5 ÷ 4/5 

All you have to do is divide 72 by 4 because the denominator is the same.

72 ÷ 4 = 18

Answer ⇒ 18 catalogs

Hope this helps! :)
4 0
3 years ago
Read 2 more answers
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