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Alex_Xolod [135]
3 years ago
13

Describe the dimensions of the two different prisms that have a volume of 2,400 cubic centimeters. Then draw each prism.

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0
We assume that the prism being referred in this item may be any prism. For our case, we take both prisms to be rectangular prism so that the volume is equal to, 
                            V = L x W x H
The dimensions of the prisms,
          (1)       10 cm x 10 cm x 24 cm
          (2)           5 cm x 20 cm x 24 cm
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Anni [7]
Distribute.  -18 + 9i + 18i -9i^2.  as i^2 = -1, the equation can be simplified to -9 + 27i as the final answer.
4 0
4 years ago
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
4 years ago
What is (4x+1)-(3x+4)
ch4aika [34]

Answer:

x+5

Step-by-step explanation:

7 0
4 years ago
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Graph A: A horizontal line goes from (1, 0.5) to (2, 0.5). Another horizontal line goes form (2, 0.2) to (7, (0, 2). Graph B: A
ZanzabumX [31]

Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1

Step-by-step explanation:

<em>Areas under the graphs:</em>

<em />

<u>Graph A</u>

<u />(1)(0.5)+(7-2)(0.2)=1.5\\\\

<u>Graph B</u>

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5 0
2 years ago
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atroni [7]

Answer:

<h2>x= 2/3</h2>

Step-by-step explanation:

x−6 = 4(2−3x)−8x

Rearrange terms

x-6= 4(-3x+2)-8x

Distribute

x-6= -12x+8-8x

Combine Like Terms

x-6= -20x+8

21x-6= 8

Isolate x

21x= 8+6

21x=14

x= 14/21

Simplify

x=2/3

5 0
3 years ago
Read 2 more answers
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