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poizon [28]
3 years ago
6

Suppose we have 10 rectangular prisms stacked on top of each other, as shown in the figure. Each one has l = 5 cm, w = 6 cm and

h = 2 cm. What would be the total volume of the rectangular prism if none of the sections were staggered?
A) 60 cm^3
B) 300 cm^3 
C) 450 cm^3
D) 600 cm^3

I put A as my first choice but it was wrong.

PLEASE HELP ME!!!
Mathematics
2 answers:
djyliett [7]3 years ago
6 0
D, there are 10, 60 is the volume for one
nasty-shy [4]3 years ago
5 0

Answer:

D


Step-by-step explanation:

Volume of rectangular prism is given by the formula:

Volume of Rectangular Prism = Length * Width * Height

Thus,

Volume of single rectangular prism = length*width*height\\=5*6*2\\=60

<em>60 is the volume of 1 of these rectangular prisms, so 10 of these would have a volume of  10*60=600</em>


Answer choice D is right.

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3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa
gregori [183]

Answer:

A sample of 17 must be selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation from a previous study is 4 hours.

This means that \sigma = 4

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

M = z\frac{\sigma}{\sqrt{n}}

2 = 2.054\frac{4}{\sqrt{n}}

2\sqrt{n} = 2.054*4

Simplifying both sides by 2:

\sqrt{n} = 2.054*2

(\sqrt{n})^2 = (2.054*2)^2

n = 16.88

Rounding up:

A sample of 17 must be selected.

8 0
3 years ago
Factor completely 7x2-45x-28
MatroZZZ [7]

9514 1404 393

Answer:

  (x -7)(7x +4)

Step-by-step explanation:

The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...

  (7)(-28) = (4)(-49)

7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)

6 0
3 years ago
How do you do 8b+12-b=8+7b+4 and plz show how you got it
lawyer [7]
8b+12-b=8+7b+4
7b+12=12+7b
                 -7b
7b-7b+12=12
          -12   -12
0= 12-12
0=0
6 0
3 years ago
(6-5) × (4-2) + 12/4 = 5
ehidna [41]

\\ \sf\longmapsto (6-5)\times (4-2)+\dfrac{12}{4}=5

\\ \sf\longmapsto 1(2)+\dfrac{12}{4}=5

\\ \sf\longmapsto 2+\dfrac{12}{4}=5

\\ \sf\longmapsto \dfrac{8+12}{4}=5

\\ \sf\longmapsto \dfrac{20}{4}=5

\\ \sf\longmapsto 5=5

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=12%20%3D%201.35%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="12 = 1.35 \sqrt{x} " alt="12 = 1.
Artyom0805 [142]

Answer:

(12/1.35)^2 ~= 79.012346

(roughly equal to ~=)

Step-by-step explanation:

divide both sides by 1.35

12/1.35 = √x

square both sides to get rid of √

(12/1.35)^2 ~= 79.012346


4 0
3 years ago
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