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yuradex [85]
3 years ago
9

Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in t

his box? A. 39 B. 270 C. 972 D. 1,944
Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

  • base (12 cm)
  • width (9 cm)  
  • height (18 cm)

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.

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The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th
Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

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{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

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.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when M = 1, \sigma = 4. So

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

1 = 1.96*\frac{4}{\sqrt{n}}

\sqrt{n} = 4*1.96

(\sqrt{n})^{2} = (4*1.96)^{2}

n = 61.5

The minimum sample size that should be taken is 62.

8 0
4 years ago
Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square
Molodets [167]

Answer:

6084 \text{ft}^2.

Step-by-step explanation:

Please find the attachment.

We have been given that  the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 \text{ft}^2 and the area of the A/C building is 900 \text{ft}^2.

We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

a^2+b^2=c^2

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.

Upon substituting our given information in Pythagoras theorem, we will get:

5184+900=c^2

6084=c^2

Therefore, the area of electrical building is 6084 square feet.

3 0
4 years ago
The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t
Mars2501 [29]

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\

Divide both parts of the equation by 3:

x=12\ inches

6 0
1 year ago
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend pass
yKpoI14uk [10]
No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.
5 0
3 years ago
How do you write 208,000,478 in expanded form
Ket [755]
200,000,000+8,000,000+400+70+8=208,000,478

8 0
3 years ago
Read 2 more answers
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