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ruslelena [56]
3 years ago
5

Draw a rectangular box with the origin and (4, 5, 6) as opposite vertices and with its faces parallel to the coordinate planes.

Label all vertices of the box.

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

We are asked to draw a diagram which is shown in the picture below.

Step-by-step explanation:

The rectangular box is shown in the picture below with 'O' as the origin and with its (4,5,6) opposite vertices and with its faces parallel to the (PQR) coordinates planes.

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3n + 1 < 7

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How do you solve this step-by-step?
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2 years ago
Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During
Arlecino [84]

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

<em>Comment on the question</em>

IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

5 0
3 years ago
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

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n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0
3 years ago
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